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| CMS-SMP-19-009 ; CERN-EP-2021-175 | ||
| Measurement of differential cross sections for the production of a Z boson in association with jets in proton-proton collisions at $\sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| 5 May 2022 | ||
| Phys. Rev. D 108 (2023) 052004 | ||
| Abstract: A measurement is presented of the production of Z bosons that decay into two electrons or muons in association with jets, in proton-proton collisions at a centre-of-mass energy of 13 TeV. The data were recorded by the CMS Collaboration at the LHC with an integrated luminosity of 35.9 fb$^{-1}$. The differential cross sections are measured as a function of the transverse momentum (${p_{\mathrm{T}}}$) of the Z boson and the transverse momentum and rapidities of the five jets with largest ${p_{\mathrm{T}}}$. The jet multiplicity distribution is measured for up to eight jets. The hadronic activity in the events is estimated using the scalar sum of the ${p_{\mathrm{T}}}$ of all the jets. All measurements are unfolded to the stable particle-level and compared with predictions from various Monte Carlo event generators, as well as with expectations at leading and next-to-leading orders in perturbative quantum chromodynamics. | ||
| Links: e-print arXiv:2205.02872 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
The 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent the total statistical uncertainties from the data and simulation samples. |
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Figure 1-a:
The 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent the total statistical uncertainties from the data and simulation samples. |
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Figure 1-b:
The 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent the total statistical uncertainties from the data and simulation samples. |
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Figure 1-c:
The 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent the total statistical uncertainties from the data and simulation samples. |
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Figure 1-d:
The 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 (such as nonresonant background, NRB) as described in Section 7. The error bars around the data points represent the statistical uncertainties. The distribution ratio of simulation to data is shown in the bottom frames, with error bars that represent 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 (right), and three (bottom) 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 the statistical uncertainty is displayed 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 (right), and three (bottom) 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 the statistical uncertainty is displayed 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 (right), and three (bottom) 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 the statistical uncertainty is displayed 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 (right), and three (bottom) 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed 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 (right), and three (bottom) 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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 (right), and three (bottom) 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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 (right), and three (bottom) 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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 (right), and three (bottom) 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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed for the LO prediction. |
png pdf |
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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed 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 the statistical uncertainty is displayed for the LO prediction. |
| 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 in 2016 by the CMS experiment using a data set with an integrated luminosity of 35.9 fb$^{-1}$. Differential cross sections have been measured for Z bosons decaying to electrons or muons with transverse momentum ${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 ($N_\text{jets}$), the ${p_{\mathrm{T}}}$ of the Z boson, and kinematic variables that include jet transverse momenta, the scalar sum for up to five inclusive $N_\text{jets}$, rapidity, dijet invariant mass ($M_\text{jj}$) and their sum values. The results, corrected for detector effects through unfolding, are compared with three theoretical predictions: (1) the expectations are computed from particle-level simulations using merged leading-order (LO) calculations with the ${k_{\mathrm{T}}}$-MLM parton-showers and matrix-element matching scheme; (2) using next-to-leading-order (NLO) calculations and the FxFx merging scheme; and (3) the Geneva MC program, where a next-to-NLO (NNLO) calculation for Drell-Yan production is combined with higher-order resummation. High precision is achieved in measuring the cross sections using the latest experimental methods and larger sets of data than were available in previous CMS publications. The increased number of events is extended the kinematic range to higher values of ${p_{\mathrm{T}}}$ and mass. The measurements presented in this paper provide a detailed description of the topological structure of $\mathrm{Z}\to\ell^+\ell^-$+jets events that is complementary to the existing measurements of rates and associated jet multiplicities. The kinematics of $\mathrm{Z}$+jets events is studied in detail. The measured differential cross sections and $N_\text{jets}$ distributions are within the experimental and theoretical uncertainties. Some deviations are observed for $N_\text{jets} > $ 3. Such discrepancies offer the possibility of using these data to further improve the modeling. The results also indicate that multiparton NLO calculations can be used to estimate the $\mathrm{Z}\to\ell^+\ell^-$+jets contributions to measurements and searches at the LHC. |
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