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CMS-PAS-SMP-19-009
Measurement of multi-differential cross sections for the production of a Z boson in association with jets in proton-proton collisions at $\sqrt{s}= $ 13 TeV
Abstract: A study of the production of Z bosons in association with jets in proton-proton (pp) collisions at a centre-of-mass energy of 13 TeV is presented. This study that involves Z bosons decaying either to two electrons or muons. The differential cross sections in data recorded by the CMS experiment at the LHC, correspond to an integrated luminosity of 35.9 fb$^{-1}$ are measured as a function of the transverse momentum ($p_\mathrm{T}$) of the Z boson and the transverse momentum and rapidities of five jets with largest $p_\mathrm{T}$. The jet multiplicity distribution is measured for up to eight jets. The scalar sum of the jet $p_\mathrm{T}$ which quantifies the hadronic activity in the event, is also studied. The measurements are unfolded to the stable particle level and compared with predictions from several Monte Carlo event generators, as well as with expectations at leading and next-to-leading order in perturbative quantum chromodynamics.
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Figures

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Figure 1:
Z boson candidate $ {p_{\mathrm {T}}} $ (upper) and $|y|$ (lower) for events with at least one jet. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 1-a:
Z boson candidate $ {p_{\mathrm {T}}} $ (upper) and $|y|$ (lower) for events with at least one jet. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 1-b:
Z boson candidate $ {p_{\mathrm {T}}} $ (upper) and $|y|$ (lower) for events with at least one jet. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 1-c:
Z boson candidate $ {p_{\mathrm {T}}} $ (upper) and $|y|$ (lower) for events with at least one jet. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 1-d:
Z boson candidate $ {p_{\mathrm {T}}} $ (upper) and $|y|$ (lower) for events with at least one jet. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 2:
Inclusive (upper) and exclusive (lower) jet multiplicity distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 2-a:
Inclusive (upper) and exclusive (lower) jet multiplicity distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 2-b:
Inclusive (upper) and exclusive (lower) jet multiplicity distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 2-c:
Inclusive (upper) and exclusive (lower) jet multiplicity distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 2-d:
Inclusive (upper) and exclusive (lower) jet multiplicity distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 3:
First jet ${p_{\mathrm {T}}}$ (upper) and $|y|$ (lower) distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 3-a:
First jet ${p_{\mathrm {T}}}$ (upper) and $|y|$ (lower) distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 3-b:
First jet ${p_{\mathrm {T}}}$ (upper) and $|y|$ (lower) distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 3-c:
First jet ${p_{\mathrm {T}}}$ (upper) and $|y|$ (lower) distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 3-d:
First jet ${p_{\mathrm {T}}}$ (upper) and $|y|$ (lower) distributions. The muon (left) and electron (right) channels are shown separately. The background is estimated from both simulation and data driven methods described in Section 7. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represents the total statistical uncertainties from the data and simulation samples.

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Figure 4:
The measured differential cross section as a function of inclusive (left) and exclusive (right) jet multiplicities. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 4-a:
The measured differential cross section as a function of inclusive (left) and exclusive (right) jet multiplicities. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 4-b:
The measured differential cross section as a function of inclusive (left) and exclusive (right) jet multiplicities. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 5:
The measured differential cross section as a function of leading jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 5-a:
The measured differential cross section as a function of leading jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 5-b:
The measured differential cross section as a function of leading jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 6:
The measured differential cross section as a function of second jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 6-a:
The measured differential cross section as a function of second jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 6-b:
The measured differential cross section as a function of second jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 7:
The measured differential cross section as a function of third jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least three jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 7-a:
The measured differential cross section as a function of third jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least three jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 7-b:
The measured differential cross section as a function of third jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least three jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 8:
The measured differential cross section as a function of fourth jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least four jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 8-a:
The measured differential cross section as a function of fourth jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least four jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 8-b:
The measured differential cross section as a function of fourth jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least four jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 9:
The measured differential cross section as a function of fifth jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least five jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 9-a:
The measured differential cross section as a function of fifth jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least five jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 9-b:
The measured differential cross section as a function of fifth jet $|y|$ (left) and ${p_{\mathrm {T}}}$ (right) for events with at least five jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 10:
The measured differential cross section as a function of ${H_{\mathrm {T}}}$ for events with at least one (left) two (middle), and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 1 and $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 10-a:
The measured differential cross section as a function of ${H_{\mathrm {T}}}$ for events with at least one (left) two (middle), and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 1 and $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 10-b:
The measured differential cross section as a function of ${H_{\mathrm {T}}}$ for events with at least one (left) two (middle), and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 1 and $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 10-c:
The measured differential cross section as a function of ${H_{\mathrm {T}}}$ for events with at least one (left) two (middle), and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 1 and $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 11:
The measured differential cross section as a function of dijet mass for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 12:
The measured differential cross section as a function of Z boson $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 13:
The measured differential cross section as a function of the leading and subleading jet rapidity difference (left) and sum (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 13-a:
The measured differential cross section as a function of the leading and subleading jet rapidity difference (left) and sum (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 13-b:
The measured differential cross section as a function of the leading and subleading jet rapidity difference (left) and sum (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 14:
The measured differential cross section as a function of the Z boson and leading jet rapidity difference (left) and sum (right) for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 14-a:
The measured differential cross section as a function of the Z boson and leading jet rapidity difference (left) and sum (right) for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 14-b:
The measured differential cross section as a function of the Z boson and leading jet rapidity difference (left) and sum (right) for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 15:
The measured differential cross section as a function of the Z boson and leading jet rapidity difference (left) and sum (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 15-a:
The measured differential cross section as a function of the Z boson and leading jet rapidity difference (left) and sum (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 15-b:
The measured differential cross section as a function of the Z boson and leading jet rapidity difference (left) and sum (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 16:
The measured differential cross section as a function of the Z boson and subleading jet rapidity difference (left) and sum (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 16-a:
The measured differential cross section as a function of the Z boson and subleading jet rapidity difference (left) and sum (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 16-b:
The measured differential cross section as a function of the Z boson and subleading jet rapidity difference (left) and sum (right) for events with at least two jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 17:
The measured differential cross section as a function of the Z boson and dijet rapidity difference (left) and sum (right) with two jets inclusive. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 17-a:
The measured differential cross section as a function of the Z boson and dijet rapidity difference (left) and sum (right) with two jets inclusive. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 17-b:
The measured differential cross section as a function of the Z boson and dijet rapidity difference (left) and sum (right) with two jets inclusive. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 18:
The measured differential cross section as a function of the Z boson and leading jet azimuthal difference for events with at least one (left) two (middle), and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 1 and $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 18-a:
The measured differential cross section as a function of the Z boson and leading jet azimuthal difference for events with at least one (left) two (middle), and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 1 and $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 18-b:
The measured differential cross section as a function of the Z boson and leading jet azimuthal difference for events with at least one (left) two (middle), and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 1 and $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 18-c:
The measured differential cross section as a function of the Z boson and leading jet azimuthal difference for events with at least one (left) two (middle), and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 1 and $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 19:
The measured differential cross section as a function of the Z boson and subleading jet azimuthal difference for events with at least two (left) and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

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Figure 19-a:
The measured differential cross section as a function of the Z boson and subleading jet azimuthal difference for events with at least two (left) and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 19-b:
The measured differential cross section as a function of the Z boson and subleading jet azimuthal difference for events with at least two (left) and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 20:
The measured differential cross section as a function of the Z boson and third jet azimuthal difference for events with at least three jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 21:
The measured differential cross section as a function of the leading and subleading jet azimuthal difference for events with at least two (left) and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 21-a:
The measured differential cross section as a function of the leading and subleading jet azimuthal difference for events with at least two (left) and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 21-b:
The measured differential cross section as a function of the leading and subleading jet azimuthal difference for events with at least two (left) and three (right) jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA (for $N_{\text {jets}}\geq $ 2) predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 22:
The measured differential cross section as a function of the leading and third jet azimuthal difference (left) and subleading and third jet azimuthal difference (right) for events with at least three jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 22-a:
The measured differential cross section as a function of the leading and third jet azimuthal difference (left) and subleading and third jet azimuthal difference (right) for events with at least three jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 22-b:
The measured differential cross section as a function of the leading and third jet azimuthal difference (left) and subleading and third jet azimuthal difference (right) for events with at least three jets. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO and LO MG5_aMC predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 23:
Double differential cross sections as a function of leading jet ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet (upper left). The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 23-a:
Double differential cross sections as a function of leading jet ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet (upper left). The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 23-b:
Double differential cross sections as a function of leading jet ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet (upper left). The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 23-c:
Double differential cross sections as a function of leading jet ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet (upper left). The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 23-d:
Double differential cross sections as a function of leading jet ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet (upper left). The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 24:
Double differential cross sections as a function of leading jet and Z boson $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 24-a:
Double differential cross sections as a function of leading jet and Z boson $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 24-b:
Double differential cross sections as a function of leading jet and Z boson $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 24-c:
Double differential cross sections as a function of leading jet and Z boson $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 24-d:
Double differential cross sections as a function of leading jet and Z boson $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 25:
Double differential cross sections as a function of Z boson ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 25-a:
Double differential cross sections as a function of Z boson ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 25-b:
Double differential cross sections as a function of Z boson ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 25-c:
Double differential cross sections as a function of Z boson ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.

png pdf
Figure 25-d:
Double differential cross sections as a function of Z boson ${p_{\mathrm {T}}}$ and $|y|$ for events with at least one jet. The measurement statistical (resp. systematic) uncertainties are represented with vertical error bars (resp. hashed areas). The measurement is compared to the NLO MG5_aMC, LO MG5_aMC, and GENEVA predictions described in Section 6. The predictions uncertainties, estimated as explained in this section, are represented by coloured areas in the ratio plots (light colour for the statistical part and darker colour for the total). Only statistical uncertainty is computed for the LO prediction.
Tables

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Table 1:
Differential cross section in $1^{\text {st}}$ jet $| \eta | $ ($N_{\text {jets}} \geq $ 1) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 2:
Differential cross section in $1^{\text {st}}$ jet $p_{\text {T}}$ ($N_{\text {jets}} \geq $ 1) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 3:
Differential cross section in $2^{\text {nd}}$ jet $| \eta | $ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 4:
Differential cross section in $2^{\text {nd}}$ jet $p_{\text {T}}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 5:
Differential cross section in $3^{\text {rd}}$ jet $| \eta | $ ($N_{\text {jets}} \geq $ 3) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 6:
Differential cross section in $3^{\text {rd}}$ jet $p_{\text {T}}$ ($N_{\text {jets}} \geq $ 3) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 7:
Differential cross section in $4^{\text {th}}$ jet $| \eta | $ ($N_{\text {jets}} \geq $ 4) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 8:
Differential cross section in $4^{\text {th}}$ jet $p_{\text {T}}$ ($N_{\text {jets}} \geq $ 4) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 9:
Differential cross section in $H_{\text {T}}$ ($N_{\text {jets}} \geq $ 1) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 10:
Differential cross section in $H_{\text {T}}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 11:
Differential cross section in $H_{\text {T}}$ ($N_{\text {jets}} \geq $ 3) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 12:
Differential cross section in dijet mass $M_{jj}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 13:
Differential cross section in exclusive jet multiplicity and break down of the systematic uncertainties for the combination of both decay channels.

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Table 14:
Differential cross section in inclusive jet multiplicity and break down of the systematic uncertainties for the combination of both decay channels.

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Table 15:
Differential cross section in $|y_\text {Z}|$ ($N_{\text {jets}} \geq $ 1) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 16:
Differential cross section in $y_\text {diff(jet1,jet2)}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 17:
Differential cross section in $y_\text {sum(jet1,jet2)}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 18:
Differential cross section in $y_\text {diff(Z,jet1)}$ ($N_{\text {jets}} \geq $ 1) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 19:
Differential cross section in $y_\text {sum(Z,jet1)}$ ($N_{\text {jets}} \geq $ 1) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 20:
Differential cross section in $y_\text {diff(Z,jet1)}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 21:
Differential cross section in $y_\text {sum(Z,jet1)}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 22:
Differential cross section in $y_\text {diff(Z,jet2)}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 23:
Differential cross section in $y_\text {sum(Z,jet2)}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 24:
Differential cross section in $y_\text {diff(Z,jet1+jet2)}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 25:
Differential cross section in $y_\text {sum(Z,jet1+jet2)}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

png pdf
Table 26:
Differential cross section in $\Delta \phi _\text {Z,jet1}$ ($N_{\text {jets}} \geq $ 1) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 27:
Differential cross section in $\Delta \phi _\text {Z,jet1}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 28:
Differential cross section in $\Delta \phi _\text {Z,jet1}$ ($N_{\text {jets}} \geq $ 3) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 29:
Differential cross section in $\Delta \phi _\text {Z,jet2}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 30:
Differential cross section in $\Delta \phi _\text {Z,jet2}$ ($N_{\text {jets}} \geq $ 3) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 31:
Differential cross section in $\Delta \phi _\text {Z,jet3}$ ($N_{\text {jets}} \geq $ 3) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 32:
Differential cross section in $\Delta \phi _\text {jet1,jet2}$ ($N_{\text {jets}} \geq $ 2) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 33:
Differential cross section in $\Delta \phi _\text {jet1,jet2}$ ($N_{\text {jets}} \geq $ 3) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 34:
Differential cross section in $\Delta \phi _\text {jet1,jet3}$ ($N_{\text {jets}} \geq $ 3) and break down of the systematic uncertainties for the combination of both decay channels.

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Table 35:
Differential cross section in $\Delta \phi _\text {jet2,jet3}$ ($N_{\text {jets}} \geq $ 3) and break down of the systematic uncertainties for the combination of both decay channels.
Summary
The production of Z bosons, decaying into a pair of electrons or muons, in association with jets has been studied in proton-proton collisions at a centre-of-mass energy of 13 TeV at the LHC with the CMS experiment using data set corresponding to an integrated luminosity of 35.9 fb$^{-1}$ . Differential cross sections have been measured for Z bosons decaying to electrons or muons with transverse momenta ${p_{\mathrm{T}}} > $ 25 GeV and pseudorapidity $|{\eta}| < $ 2.4 requiring at least one jet with ${p_{\mathrm{T}}} > $ 30 GeV and $|{\eta}| < $ 2.4.

Differential cross sections have been measured as a function of the exclusive and inclusive jet multiplicities ($N_\text{jets}$), in jet ${p_{\mathrm{T}}}$ of the Z boson, jet kinematic variables that include jet ${p_{\mathrm{T}}}$, the scalar sum of jet ${p_{\mathrm{T}}}$, and jet rapidity for up to five inclusive $N_\text{jets}$ values.

The results, corrected for detector effects through regularized unfolding, have been compared with two calculations. One being where expectations are computed from particle-level simulations using multileg next-to-leading order predictions and the FxFx merging scheme and the other using multileg leading-order predictions using the MLM parton-shower and matrix-element matching scheme.

High precision has been achieved in measuring the cross sections using the latest experimental methods and larger sets of data than were available in previous CMS publications. Increased number of events has extended the kinematic range of cross sections to higher values of ${p_{\mathrm{T}}}$ and mass opened the possibility of investigating new and rare processes not yet observed. The measurements presented in this note provide a detailed description of the topological structure of $\mathrm{Z} \to \ell^+ \ell^- + \text{jets}$ events that is complementary to the existing measurements of rates and associated jet multiplicities.

In summary, the measured cross sections are in general within their experimental and theoretical uncertainties of the expectations from theory as are $N_\text{jets}$. Nevertheless with increasing deviations are observed for $N_\text{jets} > $ 3. General agreement is found in the distributions of jet variables considered. However, some deviations with respect to the data observed at larger energy scales. Such discrepancies offer the possibility of using the data to improve the modeling.

The results also indicate that multiparton next-to-leading calculations and their associated uncertainty can be used to estimate the $\mathrm{Z} \to \ell^+ \ell^- + \text{jets}$ contributions to measurements and searches at the LHC.
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Compact Muon Solenoid
LHC, CERN