Physics Letters B 718 (2013) 752–772 Contents lists available at SciVerse ScienceDirect Physics Letters B www.elsevier.com/locate/physletb Forward–backward asymmetry of Drell–Yan lepton pairs in pp collisions at √ s = 7 TeV ✩ .CMS Collaboration � CERN, Switzerland a r t i c l e i n f o a b s t r a c t Article history: Received 17 July 2012 Received in revised form 14 October 2012 Accepted 30 October 2012 Available online 5 November 2012 Editor: M. Doser Keywords: CMS Physics Electroweak Drell–Yan A measurement of the forward–backward asymmetry (AFB) of Drell–Yan lepton pairs in pp collisions at√ s = 7 TeV is presented. The data sample, collected with the CMS detector, corresponds to an integrated luminosity of 5 fb−1. The asymmetry is measured as a function of dilepton mass and rapidity in the dielectron and dimuon channels. Combined results from the two channels are presented, and are compared with the standard model predictions. The AFB measurement in the dimuon channel and the combination of the two channels are the first such results obtained at a hadron collider. The measured asymmetries are consistent with the standard model predictions. © 2012 CERN. Published by Elsevier B.V. All rights reserved. The amplitude for the standard model (SM) Drell–Yan process qq → Z/γ ∗ → �+�− contains both the vector and the axial-vector couplings of electroweak bosons to fermions [1,2]. The differential cross section can be written as dσ d cos θ∗ = C [ 3 8 ( 1 + cos2 θ∗) + AFB cos θ∗ ] (1) for a given dilepton invariant mass, at leading order, where θ∗ is the emission angle of the lepton (�−) relative to the quark momen- tum in the dilepton centre-of-mass frame. Forward and backward events are defined by cos θ∗ > 0 and < 0, respectively, and the asymmetry parameter AFB is defined as AFB = σF − σB σF + σB , (2) where σF and σB are the total cross sections for forward and back- ward events. Within the SM, the parameters C and AFB depend on the vector and axial-vector couplings of the quarks and leptons to the Z boson and on the electric charge of the fermions. The Drell–Yan cross section is modified by higher-order quan- tum chromodynamic (QCD) and radiative electroweak corrections. The electroweak corrections are negligible except near the Z peak. At dilepton masses near the Z peak, AFB is predicted to be small ✩ © CERN for the benefit of the CMS Collaboration. � E-mail address: cms-publication-committee-chair@cern.ch. because of the small value of the lepton vector coupling in the SM, and is sensitive to the electroweak mixing parameter sin2 θW. Our measurement of sin2 θW with a maximum-likelihood fit tech- nique based on a smaller data set was reported in Ref. [3]. Above and below the Z peak, AFB exhibits a characteristic energy depen- dence governed by virtual photon and Z interference. Deviations from the SM prediction for AFB may indicate the existence of parti- cles beyond the standard model [4–11]. If a resonant state exists at high mass, it will interfere with the SM amplitudes and will cause the AFB to have a structure near the mass of the new state. There- fore, studying AFB at high mass is particularly useful in a search for resonances that might be missed by a search using the dilep- ton mass spectrum alone. The measurement presented in Ref. [3] and the AFB mea- surement are complementary. The electroweak mixing parameter was measured within the framework of the SM using events in a dimuon mass window of M(μ+μ−) = 80–100 GeV, while in the current analysis we test the SM and look for signs of new physics at high dilepton mass. The electroweak mixing angle measurement was performed in the dimuon channel. Here we present the re- sults of a measurement of AFB with more data, the addition of the dielectron channel, and the combination of the two channels, as a function of mass in a wide mass range and in separate rapid- ity bins. To study the forward–backward asymmetry, we use the Collins– Soper frame [12], in which θ∗ CS is defined to be the angle between the lepton momentum and the axis that bisects the angle between 0370-2693/ © 2012 CERN. Published by Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.physletb.2012.10.082 http://dx.doi.org/10.1016/j.physletb.2012.10.082 http://www.ScienceDirect.com/ http://www.elsevier.com/locate/physletb mailto:cms-publication-committee-chair@cern.ch http://dx.doi.org/10.1016/j.physletb.2012.10.082 CMS Collaboration / Physics Letters B 718 (2013) 752–772 753 the direction of one proton and the direction opposite to the other proton in the centre-of-mass frame of the dilepton. Use of this frame reduces the uncertainties due to the unknown transverse momentum of the incoming quarks. The sign of the longitudinal boost of the dilepton system is used to define the orientation of the Collins–Soper frame. The angle θ∗ CS is calculated from quanti- ties measured in the lab frame as cos θ∗ CS = Q z |Q z| 2(P+ 1 P− 2 − P− 1 P+ 2 ) |Q | √ Q 2 + Q 2 T , (3) where Q is the four-momentum of the dilepton and Q T and Q z are the transverse and longitudinal components of the dilep- ton momentum with respect to the beam axis; P1 (P2) repre- sents the four-momentum of the lepton (antilepton); and P± i = (P 0 i ± P 3 i )/ √ 2. The quark direction is not determined a priori at the Large Hadron Collider (LHC) [13] because both beams con- sist of protons. However, because the antiquark is necessarily a sea quark, on average we expect it to carry less momentum than the valence quark, and therefore the dilepton system is usually boosted in the direction of the valence quark [5,14,15]. This assumption is taken into account by including the sign of the longitudinal boost in the definition of cos θ∗ CS. The forward–backward asymmetry is dependent on the dilepton rapidity, y = 1 2 ln[(E + Q z)/(E − Q z)], where E and Q z refer to the energy and the third component of the momentum of the dilepton, respectively. The raw AFB measurement is distorted compared to the parton- level asymmetry, mainly because of the dilepton mass resolution of the detector and final-state electromagnetic radiation (FSR). The asymmetry is further distorted by the detector acceptance and di- luted by the imperfect knowledge of the quark direction at the LHC. In this Letter we present the AFB measurements unfolded to the electroweak vertex (Born level), taking into account the FSR, mass resolution, and other detector effects. The results are not cor- rected for the dilution effects due to the acceptance and unknown quark direction because such corrections require information that is not directly observable. This analysis is based on a data sample of 5 fb−1 collected with the Compact Muon Solenoid (CMS) detector in 2011 at a centre-of- mass energy of 7 TeV. A detailed description of the CMS detector can be found in [16]. The central feature of the CMS detector is a 3.8 T superconducting solenoid of 6 m internal diameter. The silicon pixel and strip tracker, the crystal electromagnetic calor- imeter (ECAL), and the brass/scintillator hadron calorimeter are located inside this solenoid. Muons are measured in the pseudo- rapidity window |η| < 2.4 using the tracker and the muon sys- tem, which is instrumented with detection planes of three com- plementary technologies embedded in the steel return yoke of the magnet: drift tube chambers (DT), cathode strip chambers (CSC), and resistive plate chambers (RPC) [17]. Pseudorapidity is defined as η = − ln[tan(θ/2)], where the polar angle θ is mea- sured with respect to the anticlockwise-beam direction. The DT technology is used in the barrel (|η| < 1.2), and CSC in the end- caps (0.9 < |η| < 2.4). These are complemented by an RPC system that covers both regions up to |η| < 1.6. Electrons are detected as energy clusters in the ECAL and as tracks in the silicon tracker. The ECAL consists of nearly 76 000 lead tungstate crystals, which pro- vide coverage in pseudorapidity |η| < 1.5 in the barrel region and 1.5 < |η| < 3.0 in the two endcap regions. The signal (Z/γ ∗ → μ+μ−,e+e−) and the Z → ττ process, which is considered as a background in this analysis, are simu- lated using powheg [18–20] at next-to-leading order (NLO). Parton showering is simulated using pythia v6.4.24 [21] with tune Z2, while the NLO parton distribution function (PDF) is CT10 [22]. The W + jets and tt background events are generated using Mad- Graph [23] and pythia; the tauola package is used to describe τ decays [24]. Event samples of WW, WZ, ZZ, and QCD multijet backgrounds are generated using pythia. The generated events are processed with the Geant4-based [25,26] CMS detector simulation and reconstructed with the same software as the collision data. The signal MC samples include pileup conditions (multiple pp in- teractions occurring in the same bunch crossing) matching those observed in the 2011 data sample. For data taken in the earlier part of 2011, the dimuon analy- sis is based on triggers that select events containing at least two muons, each with transverse momentum pT of at least 6 or at least 7 GeV, depending on the running period. For the later run- ning period, the triggers select events containing two muons, one with pT > 13 GeV or 17 GeV and the other with pT > 8 GeV. Within a CSC or DT muon chamber, the hits in the multiple de- tection layers are fitted to a straight line representing a segment of the muon track. In the offline analysis, tracks reconstructed from hits in the silicon tracker are matched to tracks reconstructed from muon segments alone, and then the individual hits in the tracker and muon detectors are refitted to an overall track. In addition, to increase the acceptance for low momentum muons that may not penetrate deeply into the muon system, tracks from the sili- con tracker are extrapolated into the muon system and any that match at least one muon chamber track segment are taken to be muon candidates. In both cases, multiple scattering and energy loss are taken into account as muons traverse the CMS detector. Well-reconstructed muons are selected by requiring (1) at least 10 hits in the tracker, including at least one in the pixel detector; (2) at least one segment in the muon system; (3) a normalized χ2 < 10 for the overall muon fit (if used); and (4) a transverse distance of closest approach to the beam axis of less than 2 mm. Cosmic ray muons that traverse CMS close to the interaction point can appear as back-to-back dimuons, but these are removed by requiring the muon pairs to have an acollinearity greater than 2.5 mrad. Each muon is required to be isolated from other charged tracks based on tracker information alone. No attempt is made to use radiated photons detected in ECAL to correct muon ener- gies for FSR. The unfolding procedure corrects for the effect of FSR on AFB on a statistical basis. More details on muon reconstruc- tion and identification can be found in Ref. [27]. Trigger efficiency factors are calculated and applied for different data-taking peri- ods. Each muon is required to be within the acceptance of the muon system (|η| � 2.4) and have pT > 20 GeV. Events are se- lected in which opposite-charge muon pairs meet the above re- quirements. Dielectron candidates are selected online by requiring two ECAL clusters, each with transverse energy ET exceeding a threshold value. Offline reconstruction of electrons starts by building super- clusters in the ECAL in order to collect the energy radiated by bremsstrahlung in the tracker material, following the procedure described in Ref. [28]. A specialized tracking algorithm is used to accommodate changes of curvature due to bremsstrahlung. Super- clusters are then matched to electron tracks. Electron candidates are required to have a minimum supercluster ET of 20 GeV af- ter ECAL energy-scale corrections. Electrons are restricted to the same phase space as the muons, defined by pT > 20 GeV and |η| < 2.4, for an unambiguous comparison and combination of the two channels. In order to avoid the inhomogeneous response at the interfaces between the ECAL barrel and endcaps, electrons are further required to fall within the pseudorapidity ranges |η| � 1.44 or 1.57 < |η| < 2.40. Electrons are identified by means of shower shape variables, and electron isolation criteria are based on a variable that combines the tracker and calorimeter measure- ments. Electrons arising from photon conversions are suppressed 754 CMS Collaboration / Physics Letters B 718 (2013) 752–772 Fig. 1. The unfolded μ+μ− and e+e− measurements of AFB at the Born level in four |y| bins for pT(�) > 20 GeV and |η(�)| < 2.4. The data points are shown with statistical error bars. by requiring that there be no missing tracker hits before the first hit on the reconstructed track matched to the electron, and also by rejecting a candidate if it forms a pair with a nearby track that is consistent with a conversion. More details on electron recon- struction and identification can be found in Ref. [29]. Energy scale, resolution, and efficiency factors are calculated and applied for dif- ferent data-taking periods. Energy scale and resolution factors are derived using χ2 tests, taking the MC dielectron mass distribution as a constraint. Events are selected in which opposite-charge elec- tron pairs meet the above requirements. For both lepton channels, the main sources of background are Z → ττ and QCD dijets for the low mass region and tt for the high mass region. Diboson (WW, WZ, and ZZ) and inclusive W pro- duction processes are lesser sources of background. Because some QCD jets can pass the electron identification criteria, the QCD back- ground contribution is non-negligible in the dielectron channel below the Z peak. Electroweak backgrounds are estimated using MC samples. For both channels, QCD background is estimated from the data under the assumption that same-sign and opposite-sign lepton pairs are equally probable because the misidentification of a charged particle in a jet as a lepton or antilepton is equally likely. Backgrounds are estimated for forward and backward events sepa- rately and subtracted bin by bin. The total background contribution to the data ranges from 0.17% to 0.21% in the dimuon channel and from 0.68% to 0.80% in the dielectron channel. After background subtraction, the numbers of events found in the muon channel in the forward and backward regions are 950 570 and 929 737, re- spectively. The corresponding numbers in the electron channel are 448 338 and 438 035. All results are given in the phase-space region defined by pT(�) > 20 GeV and |η(�)| < 2.4. We calculate the cos θ∗ CS distribu- tions in ten bins of dilepton mass M and four bins of rapidity |y|, the limits of which are defined to be M = 40,50,60,76,86,96, 106,120,150,200, and 2000 GeV and |y| = 0,1.00,1.25,1.50, and 2.40. The forward–backward asymmetry is diluted by the events in which the assumed quark and antiquark directions are incorrect. The asymmetry is further reduced by the acceptance requirements. No corrections are applied for either of these effects. The |y| < 1 bin has the largest asymmetry dilution due to the unknown quark direction, but the smallest acceptance effect. The next two bins, 1.00 < |y| < 1.25 and 1.25 < |y| < 1.50, have the largest asymme- try. The highest rapidity bin, 1.50 < |y| < 2.40, is least affected by the unknown quark direction but suffers a large acceptance reduc- tion resulting in a smaller asymmetry compared to other |y| bins. To correct for FSR, mass resolution, efficiencies, and other de- tector effects, we unfold the forward and backward mass spectra in each |y| bin. The unfolding procedure is performed using a matrix inversion technique [30]. The unfolding is performed with response matrices that provide a mapping between the corrected and mea- sured numbers of events in each mass and rapidity bin: Nmeas j (F ,k) = 10∑ i=1 RFF ji (k)Ncorrected i (F ,k) [ j = 1, . . . ,10, k = 1, . . . ,4, (4) Nmeas j (B,k) = 10∑ i=1 RBB ji (k)Ncorrected i (B,k) [ j = 1, . . . ,10, k = 1, . . . ,4. (5) CMS Collaboration / Physics Letters B 718 (2013) 752–772 755 Fig. 2. The unfolded and combined (μ+μ− and e+e−) measurement of AFB at the Born level in four |y| bins for pT(�) > 20 GeV and |η(�)| < 2.4. The data points are shown with both statistical error bars and combined statistical and systematic error bars. The error bars on the MC points represent the quadratically summed PDF uncertainties and statistical errors. The horizontal extent of the error bars indicates the bin width (except for the last bin, which is truncated at 400 GeV). Beneath each plot is shown the difference between data and MC, normalized by the combined statistical and systematic uncertainty. The green and yellow bands indicate the 1σ and 2σ differences of data from theory predictions. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this Letter.) In these equations, N j(F ,k) and N j(B,k) refer to the number of forward (F ) and backward (B) events within the acceptance (pT > 20 GeV and |η| < 2.4) in each mass bin j for the rapidity bin k; RFF ji (k) is the response matrix describing the transfer of forward events from generated mass bin i to observed mass bin j, while RBB ji (k) is the response matrix for the backward events. We construct the response matrices for unfolding the re- constructed forward and backward mass spectra in each |y| bin to the Born level. The response matrices are calculated using MC events before and after simulation of FSR and the detector ef- fects. Therefore they account for the FSR and mass resolution as well as the efficiency within the detector acceptance. In the di- electron channel, the gap in ECAL in the pseudorapidity range of 1.44 < |η| < 1.57 is treated as an inefficiency and corrected by the unfolding procedure. The response matrices that represent the forward generated but backward reconstructed events (and vice versa) have a negligible contribution and are not used in this study, but the effect of this approximation is taken into account in the systematic uncertainties. The unfolded values are obtained by inverting the above equations. The corresponding uncertainties are calculated taking into account the correlations due to the unfold- ing procedure. The estimated uncertainties are verified by apply- ing the procedure to a large number of independent MC samples. These MC samples are also used to check whether there is a bias in the AFB values obtained through unfolding, and the maximum difference in AFB is found to be 0.06. Systematic uncertainties are estimated in each M–|y| bin using MC events. All systematic uncertainties are assumed to be inde- pendent and are combined in quadrature. Although the background is small in the Drell–Yan process, un- certainties in the background estimation lead to systematic errors in the final results. We take a conservative approach and assume that this small background is uncertain by 100%, and therefore scale the background up and down by 100% and repeat the anal- ysis. The largest difference from the nominal AFB is found to be 0.04. The systematic uncertainty in the background estimate in all other bins is smaller than 0.03. To quantify possible systematic uncertainties that could arise from the modelling of FSR in pythia, we examine the events that show the largest change in lepton momentum pre- and post-radiation. The pythia description of FSR agrees with data to within ±5%, so we reweight by ±5% the events for which the difference of the momenta of a lepton pre- and post-radiation is larger than 1 GeV. The distributions obtained from the reweighted events are used to obtain new values for AFB. Even such a large change in event weights results in a change in the value of AFB of less than 0.02. These changes in the value of AFB are assigned as systematic uncertainties arising from uncertainty in the modelling of FSR. The systematic uncertainties related to detector alignment are studied using MC samples with different assumed tracker recon- struction geometries (basic distortions) based on the cylindrical 756 CMS Collaboration / Physics Letters B 718 (2013) 752–772 Table 1 Unfolded combined measurements of AFB in each M–|y| bin. The average mass in each bin is shown, together with the measured AFB and the corresponding statistical, systematic, and total uncertainties. The statistical and systematic uncertainties are combined in quadrature to obtain the total uncertainties. The AFB values estimated from MC are also shown, with the corresponding statistical and PDF uncertainties. The final column shows the larger of the differences AFB(Born) − AFB(raw) in the muon and electron channels. |y| M [GeV] 〈M〉 [GeV] AFB(data) Stat. err. Syst. err. Tot. err. AFB(MC) Stat. err. (MC) PDF err. Unfolding 0–1 40–50 46.2 −0.014 0.014 0.017 0.022 −0.017 0.005 0.001 −0.002 50–60 55.0 −0.017 0.012 0.005 0.013 −0.029 0.004 0.001 0.001 60–76 68.7 −0.039 0.010 0.005 0.011 −0.044 0.003 0.002 −0.015 76–86 82.5 −0.022 0.008 0.010 0.013 −0.028 0.002 0.001 −0.015 86–96 91.1 0.006 0.001 0.001 0.002 0.007 0.001 0.001 −0.001 96–106 99.3 0.024 0.006 0.012 0.014 0.035 0.002 0.002 0.003 106–120 111.5 0.060 0.012 0.006 0.013 0.055 0.004 0.004 0.003 120–150 131.5 0.072 0.014 0.010 0.017 0.092 0.006 0.006 −0.007 150–200 169.5 0.116 0.020 0.034 0.040 0.123 0.009 0.006 0.011 200–400 278.6 0.147 0.024 0.035 0.042 0.174 0.011 0.007 0.001 1–1.25 40–50 46.2 −0.022 0.032 0.019 0.037 −0.024 0.011 0.001 −0.004 50–60 55.0 −0.034 0.028 0.019 0.034 −0.079 0.008 0.002 −0.005 60–76 68.7 −0.095 0.023 0.025 0.034 −0.103 0.005 0.001 −0.045 76–86 82.5 −0.046 0.017 0.024 0.029 −0.062 0.003 0.001 −0.051 86–96 91.1 0.018 0.003 0.004 0.005 0.018 0.001 0.001 −0.001 96–106 99.2 0.085 0.017 0.039 0.043 0.081 0.004 0.004 −0.021 106–120 111.5 0.109 0.026 0.026 0.037 0.146 0.009 0.007 0.002 120–150 131.6 0.185 0.035 0.024 0.042 0.210 0.012 0.012 −0.002 150–200 169.0 0.261 0.050 0.029 0.058 0.260 0.018 0.009 0.006 200–400 273.1 0.340 0.060 0.051 0.078 0.364 0.024 0.010 0.005 1.25–1.5 40–50 46.2 0.002 0.035 0.062 0.072 −0.012 0.011 0.002 −0.002 50–60 55.0 −0.064 0.030 0.033 0.044 −0.104 0.009 0.002 −0.004 60–76 68.6 −0.140 0.025 0.023 0.034 −0.131 0.005 0.001 −0.055 76–86 82.5 −0.055 0.020 0.030 0.036 −0.076 0.003 0.001 −0.056 86–96 91.1 0.021 0.003 0.003 0.004 0.020 0.001 0.001 −0.001 96–106 99.3 0.147 0.023 0.044 0.050 0.094 0.004 0.005 0.050 106–120 111.5 0.187 0.032 0.031 0.045 0.164 0.010 0.007 0.005 120–150 131.5 0.242 0.039 0.027 0.047 0.238 0.013 0.010 0.013 150–200 169.6 0.283 0.057 0.046 0.073 0.294 0.019 0.012 −0.005 200–400 274.3 0.390 0.074 0.043 0.086 0.352 0.026 0.010 0.004 1.5–2.4 40–50 46.2 −0.053 0.024 0.061 0.066 −0.055 0.007 0.001 −0.006 50–60 54.8 −0.084 0.023 0.044 0.050 −0.088 0.006 0.001 −0.006 60–76 68.4 −0.124 0.020 0.033 0.039 −0.143 0.004 0.001 −0.053 76–86 82.5 −0.114 0.028 0.045 0.053 −0.080 0.002 0.001 −0.127 86–96 91.1 0.024 0.003 0.003 0.004 0.020 0.001 0.001 0.002 96–106 99.3 0.123 0.053 0.055 0.076 0.091 0.003 0.003 0.059 106–120 111.5 0.158 0.031 0.024 0.039 0.196 0.007 0.005 −0.003 120–150 131.5 0.231 0.038 0.028 0.047 0.229 0.010 0.009 0.004 150–200 169.4 0.234 0.053 0.028 0.060 0.252 0.015 0.007 0.009 200–400 259.1 0.340 0.072 0.063 0.096 0.298 0.022 0.006 0.028 Table 2 Estimated systematic uncertainties on AFB, in units of 10−3, for each rapidity bin, in the mass bin around the Z peak, M = 86–96 GeV. The components are discussed in the text. |y| 0–1 1–1.25 1.25–1.5 1.5–2.4 FSR ±0.1 +0.4/−0.1 +0.8/−0.1 +6.2/−0.2 Energy scale ±0.1 +0.4/−0.1 +0.9/−0.5 +0.3/−0.4 Resolution +0.1/−0.2 +0.6/−0.5 ±0.2 +0.0/−0.9 Alignment +0.4/−0.1 +0.5/−0.1 +0.7/−0.0 +0.0/−1.9 Background ±0.1 ±0.1 ±0.1 ±0.1 Pileup and eff. +0.2/−1.2 +0.3/−0.9 +1.9/−0.3 +0.5/−1.1 Unfolding +0.1/−0.0 +3.5/−0.0 +1.4/−0.0 +1.1/−0.0 PDFs ±0.6 ±0.4 ±1.4 ±1.4 symmetry of the tracker system [31]. The differences between the AFB values obtained with the ideal geometry and the other scenarios are evaluated. For each M–|y| bin, the largest difference is taken as the alignment uncertainty. The largest of these uncer- tainties over the entire M–|y| range is 0.01. In the dielectron channel, the uncertainties obtained from the χ2 minimization used to obtain the energy-scale and resolu- tion factors are used to modify the energy scale and hence calcu- late the associated uncertainties. In the dimuon channel, no energy scale or resolution factors are applied, but to account for a possi- ble scale uncertainty the energy scale is changed by 0.1% and the analysis is repeated. The resulting mass shift is found to be neg- ligible. The largest systematic uncertainty due to energy scale and resolution is found to be 0.02 in AFB. The trigger efficiency uncertainties are estimated by compar- ing the results before and after trigger scale factors are ap- plied for both channels. The uncertainties due to pileup are es- timated by comparing results with different pileup multiplicity profiles for both channels. The efficiency uncertainties are found to be smaller than 0.005 and the pileup reweighting uncertainties smaller than 0.03 in AFB. The resulting total experimental systematic uncertainty is at most 0.1 in AFB; however, for most of the bins the total experi- mental uncertainty is less than 0.05. CMS Collaboration / Physics Letters B 718 (2013) 752–772 757 The total experimental systematic uncertainty does not include the PDF or αs uncertainties. To determine these, we follow the recommendation of the PDF4LHC Working Group [32,33]. At the NLO level, the recommendation is to reweight a sample generated with the CT10 PDF set [22,34] to obtain samples that mimic the NNPDF2.1 [35] and MSTW2008 [36] PDFs. The internal degrees of freedom of each PDF set are varied. Samples corresponding to dif- ferent αs(M Z ) assumptions are obtained in a similar manner. The value of AFB is calculated in each M–|y| bin for each variation. The resulting variations in AFB are combined to obtain the PDF uncer- tainty, following the PDF4LHC prescription. The largest uncertainty is found to be 0.012. The unfolded AFB distributions at the Born level for the dimuon and dielectron channels are shown in Fig. 1. The measurements in the two channels agree well with each other. The unfolded and combined AFB distributions at the Born level are displayed in Fig. 2 and Table 1. All these distributions are in agreement with the SM expectations and there is no indication of non-SM physics. The re- versal of the sign of AFB near the Z peak is due to the change of sign of the Z–γ ∗ interference term. The asymmetry is already evi- dent at the raw level, before unfolding, and the bins that are most affected by unfolding are those just below and just above the Z peak. Table 1 also shows the difference of the unfolded and raw asymmetries in each bin. Table 2 shows the estimated systematic uncertainties in each rapidity bin for the mass bin around the Z peak. In summary, we have presented a measurement of the forward– backward asymmetry AFB for opposite-charge lepton pairs pro- duced via an intermediate Z/γ ∗ at √ s = 7 TeV in the CMS experiment, based on a sample of pp collisions corresponding to an integrated luminosity of 5 fb−1. The asymmetry is studied as a function of the dilepton rapidity and the dilepton mass M for M > 40 GeV. The unfolded and combined measurements at the Born level are presented. We find the AFB distributions to be consistent with the standard model predictions. The AFB mea- surement in the dimuon channel and the combination of the two channels are the first such results obtained at a hadron col- lider. Acknowledgements We congratulate our colleagues in the CERN accelerator depart- ments for the excellent performance of the LHC machine. We thank the technical and administrative staff at CERN and other CMS institutes, and acknowledge support from: FMSR (Austria); FNRS and FWO (Belgium); CNPq, CAPES, FAPERJ, and FAPESP (Brazil); MES (Bulgaria); CERN; CAS, MoST, and NSFC (China); COLCIENCIAS (Colombia); MSES (Croatia); RPF (Cyprus); MoER, SF0690030s09 and ERDF (Estonia); Academy of Finland, MEC, and HIP (Finland); CEA and CNRS/IN2P3 (France); BMBF, DFG, and HGF (Germany); GSRT (Greece); OTKA and NKTH (Hungary); DAE and DST (India); IPM (Iran); SFI (Ireland); INFN (Italy); NRF and WCU (Korea); LAS (Lithuania); CINVESTAV, CONACYT, SEP, and UASLP-FAI (Mexico); MSI (New Zealand); PAEC (Pakistan); MSHE and NSC (Poland); FCT (Portugal); JINR (Armenia, Belarus, Georgia, Ukraine, Uzbek- istan); MON, RosAtom, RAS and RFBR (Russia); MSTD (Serbia); MICINN and CPAN (Spain); Swiss Funding Agencies (Switzerland); NSC (Taipei); TUBITAK and TAEK (Turkey); STFC (United Kingdom); DOE and NSF (USA). 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Bhattacharya, S. Dutta, B. Gomber, Sa. Jain, Sh. Jain, R. Khurana, S. Sarkar, M. Sharan Saha Institute of Nuclear Physics, Kolkata, India A. Abdulsalam, R.K. Choudhury, D. Dutta, S. Kailas, V. Kumar, P. Mehta, A.K. Mohanty 5, L.M. Pant, P. Shukla Bhabha Atomic Research Centre, Mumbai, India T. Aziz, S. Ganguly, M. Guchait 20, M. Maity 21, G. Majumder, K. Mazumdar, G.B. Mohanty, B. Parida, K. Sudhakar, N. Wickramage Tata Institute of Fundamental Research – EHEP, Mumbai, India 762 CMS Collaboration / Physics Letters B 718 (2013) 752–772 S. Banerjee, S. Dugad Tata Institute of Fundamental Research – HECR, Mumbai, India H. Arfaei, H. Bakhshiansohi 22, S.M. Etesami 23, A. Fahim 22, M. Hashemi, A. Jafari 22, M. Khakzad, A. Mohammadi 24, M. Mohammadi Najafabadi, S. Paktinat Mehdiabadi, B. Safarzadeh 25, M. Zeinali 23 Institute for Research in Fundamental Sciences (IPM), Tehran, Iran M. Abbrescia a,b, L. Barbone a,b, C. Calabria a,b,5, S.S. Chhibra a,b, A. Colaleo a, D. Creanza a,c, N. 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Nam Kangwon National University, Chunchon, Republic of Korea S. Chang, J. Chung, D.H. Kim, G.N. Kim, D.J. Kong, H. Park, S.R. Ro, D.C. Son, T. Son Kyungpook National University, Daegu, Republic of Korea J.Y. Kim, Zero J. Kim, S. Song Chonnam National University, Institute for Universe and Elementary Particles, Kwangju, Republic of Korea S. Choi, D. Gyun, B. Hong, M. Jo, H. Kim, T.J. Kim, K.S. Lee, D.H. Moon, S.K. Park Korea University, Seoul, Republic of Korea M. Choi, S. Kang, J.H. Kim, C. Park, I.C. Park, S. Park, G. Ryu University of Seoul, Seoul, Republic of Korea Y. Cho, Y. Choi, Y.K. Choi, J. Goh, M.S. Kim, E. Kwon, B. Lee, J. Lee, S. Lee, H. Seo, I. Yu Sungkyunkwan University, Suwon, Republic of Korea 764 CMS Collaboration / Physics Letters B 718 (2013) 752–772 M.J. Bilinskas, I. Grigelionis, M. Janulis, A. Juodagalvis Vilnius University, Vilnius, Lithuania H. Castilla-Valdez, E. De La Cruz-Burelo, I. Heredia-de La Cruz, R. Lopez-Fernandez, R. Magaña Villalba, J. 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Boimska, T. Frueboes, R. Gokieli, M. Górski, M. Kazana, K. Nawrocki, K. Romanowska-Rybinska, M. Szleper, G. Wrochna, P. Zalewski Soltan Institute for Nuclear Studies, Warsaw, Poland N. Almeida, P. Bargassa, A. David, P. Faccioli, M. Fernandes, P.G. Ferreira Parracho, M. Gallinaro, J. Seixas, J. Varela, P. Vischia Laboratório de Instrumentação e Física Experimental de Partículas, Lisboa, Portugal I. Belotelov, I. Golutvin, I. Gorbunov, A. Kamenev, V. Karjavin, V. Konoplyanikov, G. Kozlov, A. Lanev, A. Malakhov, P. Moisenz, V. Palichik, V. Perelygin, M. Savina, S. Shmatov, V. Smirnov, A. Volodko, A. Zarubin Joint Institute for Nuclear Research, Dubna, Russia S. Evstyukhin, V. Golovtsov, Y. Ivanov, V. Kim, P. Levchenko, V. Murzin, V. Oreshkin, I. Smirnov, V. Sulimov, L. Uvarov, S. Vavilov, A. Vorobyev, An. Vorobyev Petersburg Nuclear Physics Institute, Gatchina (St. Petersburg), Russia Yu. Andreev, A. Dermenev, S. Gninenko, N. Golubev, M. Kirsanov, N. Krasnikov, V. Matveev, A. Pashenkov, D. Tlisov, A. Toropin Institute for Nuclear Research, Moscow, Russia CMS Collaboration / Physics Letters B 718 (2013) 752–772 765 V. Epshteyn, M. Erofeeva, V. Gavrilov, M. Kossov 5, N. Lychkovskaya, V. Popov, G. Safronov, S. Semenov, V. Stolin, E. Vlasov, A. Zhokin Institute for Theoretical and Experimental Physics, Moscow, Russia A. Belyaev, E. Boos, M. Dubinin 4, L. Dudko, A. Ershov, A. Gribushin, V. Klyukhin, O. Kodolova, I. Lokhtin, A. Markina, S. Obraztsov, M. Perfilov, S. Petrushanko, A. Popov, L. Sarycheva †, V. Savrin, A. Snigirev Moscow State University, Moscow, Russia V. Andreev, M. Azarkin, I. Dremin, M. Kirakosyan, A. Leonidov, G. Mesyats, S.V. Rusakov, A. Vinogradov P.N. Lebedev Physical Institute, Moscow, Russia I. Azhgirey, I. Bayshev, S. Bitioukov, V. Grishin 5, V. Kachanov, D. Konstantinov, A. Korablev, V. Krychkine, V. Petrov, R. Ryutin, A. Sobol, L. Tourtchanovitch, S. Troshin, N. Tyurin, A. Uzunian, A. Volkov State Research Center of Russian Federation, Institute for High Energy Physics, Protvino, Russia P. Adzic 31, M. Djordjevic, M. Ekmedzic, D. Krpic 31, J. Milosevic University of Belgrade, Faculty of Physics and Vinca Institute of Nuclear Sciences, Belgrade, Serbia M. Aguilar-Benitez, J. Alcaraz Maestre, P. Arce, C. Battilana, E. Calvo, M. Cerrada, M. Chamizo Llatas, N. Colino, B. De La Cruz, A. Delgado Peris, D. Domínguez Vázquez, C. Fernandez Bedoya, J.P. Fernández Ramos, A. Ferrando, J. Flix, M.C. Fouz, P. Garcia-Abia, O. Gonzalez Lopez, S. Goy Lopez, J.M. Hernandez, M.I. Josa, G. Merino, J. Puerta Pelayo, A. Quintario Olmeda, I. Redondo, L. Romero, J. Santaolalla, M.S. Soares, C. Willmott Centro de Investigaciones Energéticas Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain C. Albajar, G. Codispoti, J.F. de Trocóniz Universidad Autónoma de Madrid, Madrid, Spain H. Brun, J. Cuevas, J. Fernandez Menendez, S. Folgueras, I. Gonzalez Caballero, L. Lloret Iglesias, J. Piedra Gomez 32 Universidad de Oviedo, Oviedo, Spain J.A. Brochero Cifuentes, I.J. Cabrillo, A. Calderon, S.H. Chuang, J. Duarte Campderros, M. Felcini 33, M. Fernandez, G. Gomez, J. Gonzalez Sanchez, C. Jorda, P. Lobelle Pardo, A. Lopez Virto, J. Marco, R. Marco, C. Martinez Rivero, F. Matorras, F.J. Munoz Sanchez, T. Rodrigo, A.Y. Rodríguez-Marrero, A. Ruiz-Jimeno, L. Scodellaro, M. Sobron Sanudo, I. Vila, R. Vilar Cortabitarte Instituto de Física de Cantabria (IFCA), CSIC – Universidad de Cantabria, Santander, Spain D. Abbaneo, E. Auffray, G. Auzinger, P. Baillon, A.H. Ball, D. Barney, C. Bernet 6, G. Bianchi, P. Bloch, A. Bocci, A. Bonato, C. Botta, H. Breuker, T. Camporesi, G. Cerminara, T. Christiansen, J.A. Coarasa Perez, D. D’Enterria, A. Dabrowski, A. De Roeck, S. Di Guida, M. Dobson, N. Dupont-Sagorin, A. Elliott-Peisert, B. Frisch, W. Funk, G. Georgiou, M. Giffels, D. Gigi, K. Gill, D. Giordano, M. Giunta, F. Glege, R. Gomez-Reino Garrido, P. Govoni, S. Gowdy, R. Guida, M. 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Palmonari, G.A. Pierro, I. Ross, A. Savin, W.H. Smith, J. Swanson University of Wisconsin, Madison, USA * Corresponding author. E-mail address: cms-publication-committee-chair@cern.ch (P. Sphicas). † Deceased. 1 Also at Vienna University of Technology, Vienna, Austria. 2 Also at National Institute of Chemical Physics and Biophysics, Tallinn, Estonia. 3 Also at Universidade Federal do ABC, Santo Andre, Brazil. 4 Also at California Institute of Technology, Pasadena, USA. 5 Also at CERN, European Organization for Nuclear Research, Geneva, Switzerland. 6 Also at Laboratoire Leprince-Ringuet, Ecole Polytechnique, IN2P3-CNRS, Palaiseau, France. 7 Also at Suez Canal University, Suez, Egypt. 8 Also at Zewail City of Science and Technology, Zewail, Egypt. 9 Also at Cairo University, Cairo, Egypt. 10 Also at Fayoum University, El-Fayoum, Egypt. 11 Also at British University, Cairo, Egypt. 12 Now at Ain Shams University, Cairo, Egypt. 13 Also at Soltan Institute for Nuclear Studies, Warsaw, Poland. 14 Also at Université de Haute-Alsace, Mulhouse, France. 15 Now at Joint Institute for Nuclear Research, Dubna, Russia. 16 Also at Moscow State University, Moscow, Russia. 17 Also at Brandenburg University of Technology, Cottbus, Germany. 18 Also at Institute of Nuclear Research ATOMKI, Debrecen, Hungary. 19 Also at Eötvös Loránd University, Budapest, Hungary. 20 Also at Tata Institute of Fundamental Research – HECR, Mumbai, India. 21 Also at University of Visva-Bharati, Santiniketan, India. 22 Also at Sharif University of Technology, Tehran, Iran. 23 Also at Isfahan University of Technology, Isfahan, Iran. 24 Also at Shiraz University, Shiraz, Iran. 25 Also at Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Teheran, Iran. 26 Also at Facoltà Ingegneria, Università di Roma, Roma, Italy. 27 Also at Università della Basilicata, Potenza, Italy. 28 Also at Università degli Studi Guglielmo Marconi, Roma, Italy. 29 Also at Università degli studi di Siena, Siena, Italy. 30 Also at University of Bucharest, Faculty of Physics, Bucuresti-Magurele, Romania. 31 Also at Faculty of Physics of University of Belgrade, Belgrade, Serbia. 32 Also at University of Florida, Gainesville, USA. 33 Also at University of California, Los Angeles, Los Angeles, USA. 34 Also at Scuola Normale e Sezione dell’INFN, Pisa, Italy. 35 Also at INFN Sezione di Roma; Università di Roma “La Sapienza”, Roma, Italy. 36 Also at University of Athens, Athens, Greece. 37 Also at Rutherford Appleton Laboratory, Didcot, United Kingdom. 38 Also at The University of Kansas, Lawrence, USA. 39 Also at Paul Scherrer Institut, Villigen, Switzerland. 40 Also at Institute for Theoretical and Experimental Physics, Moscow, Russia. 41 Also at Gaziosmanpasa University, Tokat, Turkey. 42 Also at Adiyaman University, Adiyaman, Turkey. 43 Also at The University of Iowa, Iowa City, USA. 44 Also at Mersin University, Mersin, Turkey. 45 Also at Ozyegin University, Istanbul, Turkey. 46 Also at Kafkas University, Kars, Turkey. 47 Also at Suleyman Demirel University, Isparta, Turkey. 48 Also at Ege University, Izmir, Turkey. 49 Also at School of Physics and Astronomy, University of Southampton, Southampton, United Kingdom. 50 Also at INFN Sezione di Perugia; Università di Perugia, Perugia, Italy. mailto:cms-publication-committee-chair@cern.ch 772 CMS Collaboration / Physics Letters B 718 (2013) 752–772 51 Also at University of Sydney, Sydney, Australia. 52 Also at Utah Valley University, Orem, USA. 53 Also at Institute for Nuclear Research, Moscow, Russia. 54 Also at University of Belgrade, Faculty of Physics and Vinca Institute of Nuclear Sciences, Belgrade, Serbia. 55 Also at Argonne National Laboratory, Argonne, USA. 56 Also at Erzincan University, Erzincan, Turkey. 57 Also at KFKI Research Institute for Particle and Nuclear Physics, Budapest, Hungary. 58 Also at Kyungpook National University, Daegu, Republic of Korea. Forward-backward asymmetry of Drell-Yan lepton pairs in pp collisions at √s = 7 TeV Acknowledgements Open access References CMS Collaboration