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CMS-EWK-11-016 ; CERN-PH-EP-2015-031
A study of final-state radiation in decays of Z bosons produced in pp collisions at 7 TeV
Phys. Rev. D 91 (2015) 092012
Abstract: The differential cross sections for the production of photons in Z to μ+μγ decays are presented as a function of the transverse energy of the photon and its separation from the nearest muon. The data for these measurements were collected with the CMS detector and correspond to an integrated luminosity of 4.7 fb1 of pp collisions at s = 7 TeV delivered by the CERN LHC. The cross sections are compared to simulations with POWHEG and PYTHIA, where PYTHIA is used to simulate parton showers and final-state photons. These simulations match the data to better than 5%.
Figures & Tables CMS Publications
Figures

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Figure 1-a:
Distributions of the photon isolation variable Iγ for the control region (a) and for the signal region (b) after all corrections have been applied. The bottom panels display the ratio of data to the MC expectation. The requirement for FSR photons is Iγ< 6 GeV.

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Figure 1-b:
Distributions of the photon isolation variable Iγ for the control region (a) and for the signal region (b) after all corrections have been applied. The bottom panels display the ratio of data to the MC expectation. The requirement for FSR photons is Iγ< 6 GeV.

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Figure 2-a:
Two examples of an s distribution s=1(M2μμγM2μμ)/(M2ZM2μμ) fit with a skewed Gaussian as described in the text. The (a) and (b) plots pertain to photons in the ECAL barrel with 5 <ET< 10 GeV and in the ECAL endcaps with 20 <ET< 40 GeV, respectively. The circle points and solid curve represent the data and the triangle points and dotted curve represent the simulation.

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Figure 2-b:
Two examples of an s distribution s=1(M2μμγM2μμ)/(M2ZM2μμ) fit with a skewed Gaussian as described in the text. The (a) and (b) plots pertain to photons in the ECAL barrel with 5 <ET< 10 GeV and in the ECAL endcaps with 20 <ET< 40 GeV, respectively. The circle points and solid curve represent the data and the triangle points and dotted curve represent the simulation.

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Figure 3-a:
Measured differential cross sections dσ/dET (a) and dσ/dΔRμγ (b). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA calculation including theoretical uncertainties. The bottom panels display the ratio of data to the MC expectation. A bin-centering procedure has been applied.

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Figure 3-b:
Measured differential cross sections dσ/dET (a) and dσ/dΔRμγ (b). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA calculation including theoretical uncertainties. The bottom panels display the ratio of data to the MC expectation. A bin-centering procedure has been applied.

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Figure 4-a:
Measured differential cross sections dσ/dET for photons close to the muon (0.05 <dσ/dΔRμγ 0.5, a) and far from the muon (0.5 <dσ/dΔRμγ 3, b). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA calculation including theoretical uncertainties. The bottom panels display the ratio of data to the MC expectation. A bin-centering procedure has been applied.

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Figure 4-b:
Measured differential cross sections dσ/dET for photons close to the muon (0.05 <dσ/dΔRμγ 0.5, a) and far from the muon (0.5 <dσ/dΔRμγ 3, b). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA calculation including theoretical uncertainties. The bottom panels display the ratio of data to the MC expectation. A bin-centering procedure has been applied.

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Figure 5-a:
Measured differential cross sections dσ/dET and dσ/dΔRμγ for qT< 10 GeV (a, b) and qT> 50 GeV (c, d). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA calculation including theoretical uncertainties. The bottom panels display the ratio of data to the MC expectation. A bin-centering procedure has been applied.

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Figure 5-b:
Measured differential cross sections dσ/dET and dσ/dΔRμγ for qT< 10 GeV (a, b) and qT> 50 GeV (c, d). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA calculation including theoretical uncertainties. The bottom panels display the ratio of data to the MC expectation. A bin-centering procedure has been applied.

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Figure 5-c:
Measured differential cross sections dσ/dET and dσ/dΔRμγ for qT< 10 GeV (a, b) and qT> 50 GeV (c, d). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA calculation including theoretical uncertainties. The bottom panels display the ratio of data to the MC expectation. A bin-centering procedure has been applied.

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Figure 5-d:
Measured differential cross sections dσ/dET and dσ/dΔRμγ for qT< 10 GeV (a, b) and qT> 50 GeV (c, d). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA calculation including theoretical uncertainties. The bottom panels display the ratio of data to the MC expectation. A bin-centering procedure has been applied.

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Figure 6-a:
Distributions of the dimuon mass Mμμ (a) and the three-body mass Mμμγ (b). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA prediction. The bottom panels display the ratio of data to the MC expectation.

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Figure 6-b:
Distributions of the dimuon mass Mμμ (a) and the three-body mass Mμμγ (b). The dots with error bars represent the data, and the shaded bands represent the POWHEG+PYTHIA prediction. The bottom panels display the ratio of data to the MC expectation.
Tables

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Table 1:
Summary of kinematic and fiducial event requirements

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Table 2:
Composition of the signal sample. The simulation has been tuned to reproduce the data in the control region.

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Table 3:
Relative systematic uncertainties for dσ/dET (in percent).

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Table 4:
Relative systematic uncertainties for dσ/dΔRμγ (in percent).

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Table 5:
Measured differential cross section dσ/dET in pb/GeV. For the data values, the first uncertainty is statistical and the second is systematic. For the theory values, the uncertainty combines statistical, PDF, and renormalization/factorization scale components.

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Table 6:
Measured differential cross section dσ/dΔRμγ in pb. For the data values, the first uncertainty is statistical and the second is systematic. For the theory values, the uncertainty combines statistical, PDF, and renormalization/factorization scale components.
Compact Muon Solenoid
LHC, CERN