CMS-SMP-17-001 ; CERN-EP-2018-320 | ||
Measurement of the differential Drell-Yan cross section in proton-proton collisions at $\sqrt{s} = $ 13 TeV | ||
CMS Collaboration | ||
27 December 2018 | ||
JHEP 12 (2019) 059 | ||
Abstract: Measurements of the differential cross section for the Drell-Yan process, based on proton-proton collision data at a centre-of-mass energy of 13 TeV, collected by the CMS experiment, are presented. The data correspond to an integrated luminosity of 2.8 (2.3) fb$^{-1}$ in the dimuon (dielectron) channel. The total and fiducial cross section measurements are presented as a function of dilepton invariant mass in the range 15 to 3000 GeV, and compared with the perturbative predictions of the standard model. The measured differential cross sections are in good agreement with the theoretical calculations. | ||
Links: e-print arXiv:1812.10529 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; |
Figures | |
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Figure 1:
The observed dimuon (top) and dielectron (bottom) invariant mass spectra within the detector acceptance. The "EW'' label indicates the contributions from the DY production of $\tau ^+\tau ^-$, WW, WZ, and ZZ processes. The "Misid.'' label corresponds W+jets and QCD multijet backgrounds. Each MC process is normalised using the most accurate theoretical cross section value available. The error bars on the data points represent the statistical uncertainty only. |
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Figure 1-a:
The observed dimuon invariant mass spectrum within the detector acceptance. The "EW'' label indicates the contributions from the DY production of $\tau ^+\tau ^-$, WW, WZ, and ZZ processes. The "Misid.'' label corresponds W+jets and QCD multijet backgrounds. Each MC process is normalised using the most accurate theoretical cross section value available. The error bars on the data points represent the statistical uncertainty only. |
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Figure 1-b:
The observed dielectron invariant mass spectrum within the detector acceptance. The "EW'' label indicates the contributions from the DY production of $\tau ^+\tau ^-$, WW, WZ, and ZZ processes. The "Misid.'' label corresponds W+jets and QCD multijet backgrounds. Each MC process is normalised using the most accurate theoretical cross section value available. The error bars on the data points represent the statistical uncertainty only. |
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Figure 2:
The signal acceptance (A), efficiency ($\varepsilon $) and their product for each invariant mass bin in the dimuon (top) and dielectron (bottom) channels, calculated from simulation. The error bars on the data points represent the statistical uncertainty only. |
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Figure 2-a:
The signal acceptance (A), efficiency ($\varepsilon $) and their product for each invariant mass bin in the dimuon channel, calculated from simulation. The error bars on the data points represent the statistical uncertainty only. |
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Figure 2-b:
The signal acceptance (A), efficiency ($\varepsilon $) and their product for each invariant mass bin in the dielectron channel, calculated from simulation. The error bars on the data points represent the statistical uncertainty only. |
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Figure 3:
Summary of the systematic uncertainties on the differential cross section measurement $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ [pb/GeV] in the dimuon (upper) and dielectron (lower) channels. The "Total systematic'' is a quadratic sum of all systematic uncertainty sources except for the "Acceptance + PDF''. |
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Figure 3-a:
Summary of the systematic uncertainties on the differential cross section measurement $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ [pb/GeV] in the dimuon channel. The "Total systematic'' is a quadratic sum of all systematic uncertainty sources except for the "Acceptance + PDF''. |
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Figure 3-b:
Summary of the systematic uncertainties on the differential cross section measurement $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ [pb/GeV] in the dielectron channel. The "Total systematic'' is a quadratic sum of all systematic uncertainty sources except for the "Acceptance + PDF''. |
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Figure 4:
The differential cross section as a function of the dimuon (upper) and dielectron (lower) invariant mass, measured in the full phase space, with FSR correction applied. The spectra are compared with the NNLO theoretical prediction of FEWZ (blue) and the NLO prediction of MadGraph 5_aMC@NLO (red). The NNPDF3.0 PDF set is used in both cases. In the middle and lower panels, the coloured bands denote the theoretical uncertainty and the hatched bands denote the total uncertainty, which is the combination of statistical, systematic, and integrated luminosity components. |
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Figure 4-a:
The differential cross section as a function of the dimuon invariant mass, measured in the full phase space, with FSR correction applied. The spectra are compared with the NNLO theoretical prediction of FEWZ (blue) and the NLO prediction of MadGraph 5_aMC@NLO (red). The NNPDF3.0 PDF set is used in both cases. In the middle and lower panels, the coloured bands denote the theoretical uncertainty and the hatched bands denote the total uncertainty, which is the combination of statistical, systematic, and integrated luminosity components. |
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Figure 4-b:
The differential cross section as a function of the dielectron invariant mass, measured in the full phase space, with FSR correction applied. The spectra are compared with the NNLO theoretical prediction of FEWZ (blue) and the NLO prediction of MadGraph 5_aMC@NLO (red). The NNPDF3.0 PDF set is used in both cases. In the middle and lower panels, the coloured bands denote the theoretical uncertainty and the hatched bands denote the total uncertainty, which is the combination of statistical, systematic, and integrated luminosity components. |
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Figure 5:
Comparison between the measured fiducial cross section (with no FSR correction applied) and the NLO theoretical prediction using MadGraph 5_aMC@NLO in the dimuon (upper) and dielectron (lower) channels. In the bottom panels, the red band represents the theoretical uncertainty and the hatched band represents the total uncertainty, which is the combination of the statistical, systematic, and integrated luminosity components. |
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Figure 5-a:
Comparison between the measured fiducial cross section (with no FSR correction applied) and the NLO theoretical prediction using MadGraph 5_aMC@NLO in the dimuon channel. In the bottom panel, the red band represents the theoretical uncertainty and the hatched band represents the total uncertainty, which is the combination of the statistical, systematic, and integrated luminosity components. |
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Figure 5-b:
Comparison between the measured fiducial cross section (with no FSR correction applied) and the NLO theoretical prediction using MadGraph 5_aMC@NLO in the dielectron channel. In the bottom panel, the red band represents the theoretical uncertainty and the hatched band represents the total uncertainty, which is the combination of the statistical, systematic, and integrated luminosity components. |
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Figure 6:
The differential DY cross section measured for the combination of the two channels and as predicted by the NNLO theoretical calculation of FEWZ in the full phase space. The ratio between the data and the theoretical prediction is presented in the bottom panel. The coloured boxes represent the theoretical uncertainties. |
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Figure 7:
Magnified view of the ratio of the NNLO theoretical prediction from FEWZ to data for the combined differential cross sections in two different mass ranges: $m < $ 200 GeV (top) and $m > $ 200 GeV (bottom). The blue bands represent the theoretical uncertainty on the ratio. The bottom plot also shows the ratio with the photon-induced contribution (red dashed lines), which has a sizeable effect in the high-mass region. |
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Figure 7-a:
Magnified view of the ratio of the NNLO theoretical prediction from FEWZ to data for the combined differential cross sections in the $m < $ 200 GeV mass range. The blue bands represent the theoretical uncertainty on the ratio. The bottom plot also shows the ratio with the photon-induced contribution (red dashed lines), which has a sizeable effect in the high-mass region. |
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Figure 7-b:
Magnified view of the ratio of the NNLO theoretical prediction from FEWZ to data for the combined differential cross sections in the $m > $ 200 GeV mass range. The blue bands represent the theoretical uncertainty on the ratio. The bottom plot also shows the ratio with the photon-induced contribution (red dashed lines), which has a sizeable effect in the high-mass region. |
Tables | |
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Table 1:
Summary of the systematic uncertainties (%) for the $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ (pb/GeV) measurement in the dimuon channel. The column labelled "Total'' corresponds to the quadratic sum of all the experimental sources, except for that Acceptance+PDF. |
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Table 2:
Summary of the systematic uncertainties (%) for the $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ (pb/GeV) measurement in the dielectron channel. The column labelled "Total'' corresponds to the quadratic sum of all the experimental sources, except for that Acceptance+PDF. |
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Table 3:
Summary of the measured values of $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ (pb/GeV) in the dimuon channel with the statistical ($\delta _{\text {stat}}$), experimental ($\delta _{\text {exp}}$) and theoretical ($\delta _{\text {theo}}$) uncertainties, respectively. Here, $\delta _{\text {tot}}$ is the quadratic sum of the three components. |
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Table 4:
Summary of the measured values of $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ (pb/GeV) in the dielectron channel with the statistical ($\delta _{\text {stat}}$), experimental ($\delta _{\text {exp}}$) and theoretical ($\delta _{\text {theo}}$) uncertainties, respectively. Here, $\delta _{\text {tot}}$ is the quadratic sum of the three components. |
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Table 5:
Summary of the measured values of fiducial $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ (pb/GeV) (with no FSR correction applied) in the dimuon channel with the statistical ($\delta _{\text {stat}}$) and experimental ($\delta _{\text {exp}}$) uncertainties shown separately. Here, $\delta _{\text {tot}}$ is the quadratic sum of the two components. |
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Table 6:
Summary of the measured values of fiducial $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ (pb/GeV) (with no FSR correction applied) in the dielectron channel with the statistical ($\delta _{\text {stat}}$) and experimental ($\delta _{\text {exp}}$) uncertainties shown separately. Here, $\delta _{\text {tot}}$ is the quadratic sum of the two components. |
png pdf |
Table 7:
Summary of the combined values of $ {\mathrm {d}}\sigma / {\mathrm {d}}{m}$ (pb/GeV) using the results from both the dimuon and dielectron channels. Here, $\delta _{\text {tot}}$ is the quadratic sum of the statistical, experimental and theoretical uncertainties. |
Summary |
This paper presents measurements of the total and fiducial Drell-Yan differential cross sections ${\mathrm{d}}\sigma / {\mathrm{d}}{m}$ in the dimuon and the dielectron channels as well as their combination, in the dilepton invariant mass range 15 $ < m < $ 3000 GeV, using data collected by the CMS experiment, in proton-proton collisions at a centre-of-mass energy of 13 TeV, corresponding to an integrated luminosity of up to 2.8 fb$^{-1}$. The data are corrected for detector resolution effects, the differences in the efficiency between data and Monte Carlo simulation, and the acceptance. Additionally the final-state photon radiation effects, which are most pronounced below the Z boson peak, are included. The results are in good agreement with the theoretical predictions of the standard model. |
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Compact Muon Solenoid LHC, CERN |