CMS-SMP-16-005 ; CERN-EP-2017-142 | ||
Measurement of the differential cross sections for the associated production of a W boson and jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV | ||
CMS Collaboration | ||
19 July 2017 | ||
Phys. Rev. D 96 (2017) 072005 | ||
Abstract: A measurement of the differential cross sections for a W boson produced in association with jets in the muon decay channel is presented. The measurement is based on 13 TeV proton-proton collision data corresponding to an integrated luminosity of 2.2 fb$^{-1}$, recorded by the CMS detector at the LHC. The cross sections are reported as functions of jet multiplicity, jet transverse momentum $p_{\mathrm{T}}$, jet rapidity, the scalar $p_{\mathrm{T}}$ sum of the jets, and angular correlations between the muon and the jet for different jet multiplicities. The measured cross sections are in agreement with predictions that include multileg leading-order (LO) and next-to-LO matrix element calculations interfaced with parton showers, as well as a next-to-next-to-LO calculation for the W boson and one jet production. | ||
Links: e-print arXiv:1707.05979 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; |
Figures | |
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Figure 1:
Data-to-simulation comparison as a function of the jet multiplicity. The processes included are listed in Table 1. The QCD multijet background is estimated using control samples in data. The ${\mathrm{ t } {}\mathrm{ \bar{t} } } $ background is scaled as discussed in Section 6. The error bars in the ratio panel represent the combined statistical uncertainty of the data and simulation. |
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Figure 2:
Data-to-simulation comparison as functions of the leading jet $ {p_{\mathrm {T}}} $ (left) and $\Delta \phi (\text {$\mu $, $j_{1}$})$ between the muon and the leading jet (right) for one jet inclusive production. The processes included are listed in Table 1. The QCD multijet background is estimated using control samples in data. The ${\mathrm{ t } {}\mathrm{ \bar{t} } } $ background is scaled as discussed in Section 6. The error bars in the ratio panel represent the combined statistical uncertainty of the data and simulation. |
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Figure 2-a:
Data-to-simulation comparison as functions of the leading jet $ {p_{\mathrm {T}}} $ for one jet inclusive production. The processes included are listed in Table 1. The QCD multijet background is estimated using control samples in data. The ${\mathrm{ t } {}\mathrm{ \bar{t} } } $ background is scaled as discussed in Section 6. The error bars in the ratio panel represent the combined statistical uncertainty of the data and simulation. |
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Figure 2-b:
$\Delta \phi (\text {$\mu $, $j_{1}$})$ between the muon and the leading jet for one jet inclusive production. The processes included are listed in Table 1. The QCD multijet background is estimated using control samples in data. The ${\mathrm{ t } {}\mathrm{ \bar{t} } } $ background is scaled as discussed in Section 6. The error bars in the ratio panel represent the combined statistical uncertainty of the data and simulation. |
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Figure 3:
Differential cross section measurement for the exclusive (left) and inclusive jet multiplicities (right), compared to the predictions of MG_aMC FxFx and MG_aMC. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The band around the MG_aMC FxFx prediction represents its theoretical uncertainty including both statistical and systematic components. The lower panels show the ratios of the prediction to the unfolded data. |
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Figure 3-a:
Differential cross section measurement for the exclusive jet multiplicity, compared to the predictions of MG_aMC FxFx and MG_aMC. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The band around the MG_aMC FxFx prediction represents its theoretical uncertainty including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 3-b:
Differential cross section measurement for the inclusive jet multiplicity, compared to the predictions of MG_aMC FxFx and MG_aMC. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The band around the MG_aMC FxFx prediction represents its theoretical uncertainty including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 4:
Differential cross section measurement for the transverse momenta of the four leading jets, shown from left to right for at least 1 and 2 jets (upper) and for at least 3 and 4 jets (lower) on the figures, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $ {p_{\mathrm {T}}} $. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratios of the prediction to the unfolded data. |
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Figure 4-a:
Differential cross section measurement for the transverse momenta of the four leading jets, shown for at least 1 jet, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $ {p_{\mathrm {T}}} $. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 4-b:
Differential cross section measurement for the transverse momenta of the four leading jets, shown for at least 2 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $ {p_{\mathrm {T}}} $. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 4-c:
Differential cross section measurement for the transverse momenta of the four leading jets, shown for at least 3 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $ {p_{\mathrm {T}}} $. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 4-d:
Differential cross section measurement for the transverse momenta of the four leading jets, shown for at least 4 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $ {p_{\mathrm {T}}} $. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 5:
Differential cross section measurement for the absolute rapidities of the four leading jets, shown from left to right for at least 1 and 2 jets (upper) and for at least 3 and 4 jets (lower) on the figures, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $|y|$. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratios of the prediction to the unfolded data. |
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Figure 5-a:
Differential cross section measurement for the absolute rapidities of the four leading jets, shown from least 1 jet, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $|y|$. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 5-b:
Differential cross section measurement for the absolute rapidities of the four leading jets, shown from least 2 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $|y|$. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 5-c:
Differential cross section measurement for the absolute rapidities of the four leading jets, shown from least 3 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $|y|$. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 5-d:
Differential cross section measurement for the absolute rapidities of the four leading jets, shown from least 4 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the first leading jet $|y|$. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panel shows the ratios of the prediction to the unfolded data. |
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Figure 6:
Differential cross section measurement for the jets $ {H_{\mathrm {T}}} $, shown from left to right for at least 1 and 2 jets (upper) and for at least 3 and 4 jets (lower) on the figures, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the jets $ {H_{\mathrm {T}}} $ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the prediction to the unfolded data. |
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Figure 6-a:
Differential cross section measurement for the jets $ {H_{\mathrm {T}}} $, shown for at least 1 jet, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the jets $ {H_{\mathrm {T}}} $ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the predictions to the unfolded data. |
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Figure 6-b:
Differential cross section measurement for the jets $ {H_{\mathrm {T}}} $, shown for at least 2 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the jets $ {H_{\mathrm {T}}} $ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the predictions to the unfolded data. |
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Figure 6-c:
Differential cross section measurement for the jets $ {H_{\mathrm {T}}} $, shown for at least 3 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the jets $ {H_{\mathrm {T}}} $ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the predictions to the unfolded data. |
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Figure 6-d:
Differential cross section measurement for the jets $ {H_{\mathrm {T}}} $, shown for at least 4 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in the jets $ {H_{\mathrm {T}}} $ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the predictions to the unfolded data. |
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Figure 7:
Differential cross section measurement for $\Delta \phi (\text {$\mu $, $j_{i}$})$, shown from left to right for at least 1 and 2 jets (upper) and for at least 3 and 4 jets (lower) on the figures, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in $\Delta \phi (\text {$\mu $, $j_{1}$})$ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the prediction to the unfolded data. |
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Figure 7-a:
Differential cross section measurement for $\Delta \phi (\text {$\mu $, $j_{i}$})$, shown for at least 1 jet, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in $\Delta \phi (\text {$\mu $, $j_{1}$})$ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the predictions to the unfolded data. |
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Figure 7-b:
Differential cross section measurement for $\Delta \phi (\text {$\mu $, $j_{i}$})$, shown for at least 2 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in $\Delta \phi (\text {$\mu $, $j_{1}$})$ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the predictions to the unfolded data. |
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Figure 7-c:
Differential cross section measurement for $\Delta \phi (\text {$\mu $, $j_{i}$})$, shown for at least 3 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in $\Delta \phi (\text {$\mu $, $j_{1}$})$ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the predictions to the unfolded data. |
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Figure 7-d:
Differential cross section measurement for $\Delta \phi (\text {$\mu $, $j_{i}$})$, shown for at least 4 jets, compared to the predictions of MG_aMC FxFx and MG_aMC. The NNLO prediction for $\mathrm{ W } $+1-jet is included in $\Delta \phi (\text {$\mu $, $j_{1}$})$ for one jet inclusive production. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the predictions to the unfolded data. |
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Figure 8:
Differential cross section measurement for $\Delta R(\text {$\mu $, closest jet})$ for one jet inclusive production, compared to the predictions of MG_aMC FxFx, MG_aMC, and the NNLO calculation. The black circular markers with the gray hatched band represent the unfolded data measurement and the total experimental uncertainty. The MG_aMC prediction is given only with its statistical uncertainty. The bands around the MG_aMC FxFx and NNLO predictions represent their theoretical uncertainties including both statistical and systematic components. The lower panels show the ratio of the prediction to the unfolded data. |
Tables | |
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Table 1:
Numbers of events in simulation and data as a function of the exclusive jet multiplicity after the implementation of b tag veto. The processes included are: WW, WZ, and ZZ diboson (VV), QCD multijet, single top quark (Single t), $\mathrm{ Z } /\gamma ^{*}$+jets Drell-Yan (DY+jets), ${\mathrm{ t } {}\mathrm{ \bar{t} } } $, and $\mathrm{ W } (\mu \nu )$+jets signal processes. The QCD multijet background is estimated using control data samples. The ${\mathrm{ t } {}\mathrm{ \bar{t} } } $ background is scaled as discussed in Section 6. |
Summary |
The first measurement of the differential cross sections for a W boson produced in association with jets in proton-proton collisions at a center-of-mass energy of 13 TeV was presented. The collision data correspond to an integrated luminosity of 2.2 fb$^{-1}$ and were collected with the CMS detector during 2015 at the LHC. The differential cross sections are measured using the muon decay mode of the W boson as functions of the exclusive and inclusive jet multiplicities up to a multiplicity of six, the jet transverse momentum $p_{\mathrm{T}}$ and absolute value of rapidity $|y|$ for the four leading jets, and the scalar $p_{\mathrm{T}}$ sum of the jets $H_{\mathrm{T}}$ for an inclusive jet multiplicity up to four. The differential cross sections are also measured as a function of the azimuthal separation between the muon direction from the W boson decay and the direction of the leading jet for up to four inclusive jets, and of the angular distance between the muon and the closest jet in events with at least one jet. The background-subtracted data distributions are corrected for all detector effects by means of regularized unfolding and compared with the predictions of MadGraph{}5_aMC at leading-order (LO) accuracy (MG_aMC) and at next-to-LO (NLO) accuracy (MG_aMC FxFx). The measured data are also compared with a calculation based on the $N$-jettiness subtraction scheme at next-to-NLO (NNLO) accuracy for W+1-jet production. The predictions describe the data well within uncertainties as functions of the exclusive and inclusive jet multiplicities and are in good agreement with data for the jet $p_{\mathrm{T}}$ spectra, with the exception of the MG_aMC LO prediction, which underestimates the data at low to moderate jet $p_{\mathrm{T}}$. The measured $H_{\mathrm{T}}$ distributions are well modeled both by the MG_aMC FxFx NLO prediction for all inclusive jet multiplicities and the NNLO calculation for W+1-jet. The MG_aMC LO prediction underestimates the measured cross sections at low $H_{\mathrm{T}}$. All predictions accurately describe the jet $|y|$ distributions and the cross sections as a function of the azimuthal correlation between the muon and the leading jet. The measured cross section as a function of the angular distance between the muon and the closest jet, which is sensitive to electroweak emission of W bosons, is best described by the NNLO calculation. |
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Compact Muon Solenoid LHC, CERN |