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Search for tb Resonances in Proton-Proton Collisions at √s=7  TeV with the ATLAS Detector

ATLAS Collaboration

ABDELALIM ALY, Ahmed Aly (Collab.), et al.

Abstract

This Letter presents a search for tb resonances in 1.04  fb−1 of LHC proton-proton collision data collected by the ATLAS detector at a center-of-mass energy of 7 TeV. Events with a lepton, missing transverse momentum, and two jets are selected and the invariant mass of the corresponding final state is reconstructed. The search exploits the shape of the tb invariant mass distribution compared to the expected standard model backgrounds. The model of a right-handed W′R with standard model-like couplings is chosen as the benchmark model for this search. No statistically significant excess of events is observed in the data, and upper limits on the cross section times the branching ratio of W′R resonances at 95% C.L. lie in the range of 6.1–1.0 pb for W′R masses ranging from 0.5 to 2.0 TeV. These limits are translated into a lower bound on the allowed right-handed W′R mass, giving mW′R>1.13  TeV at 95%

C.L.

ATLAS Collaboration, ABDELALIM ALY, Ahmed Aly (Collab.), et al . Search for tb Resonances in Proton-Proton Collisions at √s=7  TeV with the ATLAS Detector. Physical Review Letters , 2012, vol. 109, no. 08, p. 081801

DOI : 10.1103/PhysRevLett.109.081801

Available at:

http://archive-ouverte.unige.ch/unige:39870

Disclaimer: layout of this document may differ from the published version.

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Search for tb Resonances in Proton-Proton Collisions at ffiffiffi p s

¼ 7 TeV with the ATLAS Detector

G. Aadet al.* (ATLAS Collaboration)

(Received 4 May 2012; published 21 August 2012)

This Letter presents a search for tb resonances in 1:04 fb1 of LHC proton-proton collision data collected by the ATLAS detector at a center-of-mass energy of 7 TeV. Events with a lepton, missing transverse momentum, and two jets are selected and the invariant mass of the corresponding final state is reconstructed. The search exploits the shape of thetbinvariant mass distribution compared to the expected standard model backgrounds. The model of a right-handedWR0 with standard model-like couplings is chosen as the benchmark model for this search. No statistically significant excess of events is observed in the data, and upper limits on the cross section times the branching ratio ofWR0 resonances at 95% C.L. lie in the range of 6.1–1.0 pb forW0Rmasses ranging from 0.5 to 2.0 TeV. These limits are translated into a lower bound on the allowed right-handedWR0 mass, givingmWR0 >1:13 TeVat 95% C.L.

DOI:10.1103/PhysRevLett.109.081801 PACS numbers: 14.70.Pw, 12.60.Cn, 13.85.Rm, 14.65.Ha

This Letter presents a search fortb(tbortb ) resonances using data collected in 2011 by the ATLAS detector [1] at the Large Hadron Collider (LHC), corresponding to an integrated luminosity of 1:040:04 fb1 [2,3] from pp collisions at a center-of-mass energy of 7 TeV. These resonances include new heavy gauge bosons such as the W0 boson. TheW0 boson is a charged heavy gauge boson that is predicted in many extensions of the standard model (SM) such as universal extra dimensions [4] and little Higgs models [5]. If the W0 boson is assumed to have similar coupling strengths to those of the SM W boson, searches in the W0!‘ decay channel, where ‘ is a charged lepton, are the most sensitive. However, the W0 !tbchannel is competitive ifW0!‘decay is sup- pressed. For example, for a right-handed WR0 this can happen if the right-handed neutrino R is heavy enough to prevent WR0 !‘R decay [6]. The model of a right- handedWR0 with SM-like couplings is chosen as the bench- mark model for the analysis presented in this Letter. The WR0 !tb decay channel has been searched for at the Tevatron [7,8]. The best previous limit on a WR0 with standard model-like couplings of the W0 to quarks was set by the D0 experiment and excludes aWR0 mass below 890 GeV at 95% confidence level.

The innermost part of the ATLAS detector [9], a track- ing system in a 2 T axial magnetic field, measures the momentum of the charged particles produced in the colli- sions. Outside of the solenoid are the calorimeter subsys- tems, which measure the electron, photon, and hadronic particle energies, and the muon spectrometer, which is

used to identify and measure the momentum of muons in a toroidal magnetic field. A three-level trigger system [10]

reduces the event rate and selects the events for analysis.

The tb resonances are searched for in the tb!‘bb decay channel, where the lepton‘is either an electron or a muon. WR0 signal events are simulated to leading order (LO) with the PYTHIA V6.421[11] Monte Carlo (MC) gen- erator, using the MRST2007 LO* parton distribution func- tions (PDFs) [12]. Seven signal samples are simulated, with different WR0 mass assumptions, ranging from 500 GeV to 2.0 TeV, as reported in TableI. The respective signal cross section times the branching ratio values are computed at next-to-leading-order (NLO) [13], using CTEQ6.6 PDFs [14].

Data-driven methods and MC simulated samples are used to estimate and model backgrounds. The ttprocess is simulated with theMC@NLO V3.41[15,16] MC generator, assuming a top quark mass of 172.5 GeV, and using the CTEQ6.6 PDFs. The parton shower is added using the

HERWIG [17] andJIMMY[18] MC generators. Thettcross TABLE I. NLO branching ratios, BðWR0 !tbÞ, and WR0 production cross section times the branching ratio value, ðpp!WR0Þ BðWR0 !tbÞ, in pp collisions at 7 TeV center-of-mass energy [13]. The uncertainties on the branching ratios are due to the top quark mass uncertainty. The uncertain- ties on the cross sections include statistical,s, NLO renormal- ization and factorization scales, and PDF uncertainties.

mW0R [GeV] BðWR0 !tbÞ B[pb]

500 0:2980:002 54:62:1

750 0:3190:001 10:90:6

1000 0:3260:001 2:920:18

1250 0:328<0:001 0:910:07

1500 0:330<0:001 0:310:03

1750 0:331<0:001 0:110:01

2000 0:332<0:001 0:0440:005

*Full author list given at the end of the article.

Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distri- bution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

PRL109,081801 (2012) P H Y S I C A L R E V I E W L E T T E R S 24 AUGUST 2012

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section is obtained from the approximate next-to-next-to- leading order (NNLO) prediction calculated with the

HATHORprogram [19] using the MSTW2008 NNLO PDF sets [20]. The single top quark processes are simulated using theACERMC V3.7[21] MC generator and hadroniza- tion is performed with thePYTHIAMC generator; the cross section is calculated to approximate NNLO [22–24] using the CTEQ6.6 PDFs. Diboson processes are simulated using theHERWIG V6.5MC generator and their cross sections are obtained at NLO using the MCFM[25] program with the MSTW2008 PDFs. The MC samples simulated with the

ACERMCandHERWIG MC generators use the MRST2007 LO* PDFs. Vector boson production in association with jets (Wþlight jets,Wbb,Wcc,Wc, andZþjets with up to five additional partons) is simulated using the

ALPGEN V2.13 [26] MC generator, coupled with the CTEQ6L1 PDFs [14] and hadronization is performed with the HERWIG and JIMMY MC generators. In these samples, additional jets can be created from the parton shower. In order to avoid double counting between the inclusive Wþn parton samples and the parton shower, overlaps are removed following the MLM matching pre- scription [27]. A cross section correction factor is applied to the LOW=Zþjet cross sections computed by compar- ing the LO and NLO predictions from the FEWZ [28]

program. The Wc cross section correction factor is ob- tained using the MCFM [29] program with the CTEQ6.6 PDFs. All samples are passed through the full simulation of the ATLAS detector [30] based on GEANT4[31] and are then reconstructed using the same procedure as collision data. The simulated samples include the effect of multiple ppcollisions per bunch crossing (pileup) which on average is six events per bunch crossing. In order to ensure a good description of the energy scale and resolution, the trigger, the reconstruction and identification efficiency, corrections based on comparisons between data and MC events are applied to the simulated signal and background samples.

The corresponding scale factors are obtained as a function of the object kinematics, resulting in final corrections of the order of a few percent.

Candidate events are identified using single high trans- verse momentum electron and muon triggers and stringent detector and data quality requirements. For each candidate, two jets, one isolated charged lepton, and the missing transverse momentum EmissT are required. The definition of the objects and details of a similar event selection, including lepton isolation requirements, are given in Ref. [32]. The reconstructed charged lepton is required to have a transverse momentum pT>25 GeV to ensure a constant trigger efficiency, jj<2:5for a muon [33–35]

andjj<2:47for an electron [36] (the calorimeter tran- sition region 1:37<jj<1:52 is excluded), and to lie withinR¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi

ðÞ2þ ðÞ2

p <0:15of the correspond- ing triggered lepton. Jets are reconstructed from energy clusters in the calorimeters with the anti-ktalgorithm [37]

with a radius parameter R¼0:4 and calibrated to the hadronic energy scale [38]. Exactly two jets with pT>

25 GeVandjj<2:5are required in the event, and at least one of them must be tagged as a b jet. The b-tagging algorithm uses measurements of the impact parameters of tracks and the properties of reconstructed vertices; these are combined in a neural network to extract a tagging decision for each jet [39]. Based on a ttMC sample, the working point is chosen at ab-tagging efficiency of 57%, leading to a light-quark tagging probability of 0.2% de- rived from the same sample. To account for the differences between observed and simulated jet, pT and, distribu- tions, theb-tagging efficiency and the corresponding scal- ing factors to be applied to MC simulations are derived from data [40]. Events before applying anybtagging are referred to aspretaggedevents. Events where one or both jets arebtagged are referred to assingle-ordouble-tagged events, respectively.

TheEmissT is calculated using calorimeter energy clusters [41] calibrated according to the reconstructed physics ob- ject to which they are associated [42]; events are required to satisfy EmissT >25 GeV. The background contribution from multiple hadron jets (multijet background) is reduced by imposing a requirement on the sum of the W boson transverse mass mTðWÞ [43] and EmissT : mTðWÞ þEmissT >

60 GeV [32]. After applying all selection criteria, the acceptance times efficiency for WR0 signal events with mWR0 ¼1:0 TeV is 1.38% for single-tagged events and 0.49% for double-tagged events.

One of the most important backgrounds for thetbreso- nance search comes fromWproduction in association with either heavy-flavor jets, or light-flavor jets misidentified as bjets. Multijet production is another source of background, when either a hadronic jet is misidentified as a lepton, or when a real high-pT lepton from semileptonic decay of a heavy hadron within a jet fulfills the selection require- ments. Another important background comes from ttpair production in the case that one W boson decays leptoni- cally and the decay products of the otherWboson are lost due to the detector acceptance. Other smaller backgrounds come from single top production, diboson production, and Zþjet events.

Kinematic variable distributions for the Wþjet back- ground are taken from MC samples, while the overall normalization and flavor composition are derived from data; this is done after rejecting signal-like events with thetbinvariant massmtb, which is described later, satisfy- ingmtb>500 GeV. In each jet multiplicity bin, the num- ber of Wþjet events in the data is assumed to be the difference between the number of observed data events and the number of events estimated for SM non-Wþjet pro- cesses including the multijet process estimated from a data-driven method. The overall Wþjet normalization factor is the ratio of the number of Wþjet events in the data to the number of Wþjet events in simulation. The

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flavor composition of theWþjet background is estimated by comparing the MC prediction to data while its depen- dence on jet and b-tagging multiplicity is modeled using MC simulations. The fractions of Wbb, Wcc, Wc, and Wþlight jet components of the total Wþjet MC simu- lations are scaled such that the background sum equals the observed data in three separate samples: a single-tagged one-jet sample and the pretagged and single-tagged two-jet samples. The same scale factor is used forWbbandWcc. The multijet background normalization and the shape of each distribution are obtained from data. The shape of each multijet background distribution is taken from a data sam- ple which requires a jet instead of an isolated lepton. This jet is required to have a detector signature similar to an electron: it must havepT>25 GeVand between 80% and 95% of its energy deposited in the electromagnetic section of the calorimeter. The jet must also be associated with at least four tracks. The normalization is estimated using a binned likelihood fit to the EmissT distribution in data in which the normalization of the Wþjet and the multijet components is allowed to vary. The fit is performed sepa- rately in the pretagged, single-, and double-tagged samples, after applying all selection criteria except the EmissT cut. The uncertainty on the multijet rate is 50% for pretagged and single-tagged events, while it amounts to 100% for double-tagged events. The uncertainty is esti- mated by using themTðWÞdistribution instead of theEmissT distribution in the binned likelihood fit, and by using multi- jet background models built from data samples with low and high numbers ofppcollisions per event.

Thett, single top, Zþjet, and diboson events are nor- malized to the theoretical cross sections and the shape of each distribution is taken from the MC simulation.

Based on the theoretical predictions shown in TableI, the numbers of single- and double-taggedWR0 signal events expected in1:04 fb1are listed in TableII, as a function of mWR0. TableIIIlists the expected background yields.

The tb invariant mass is used as the observable to discriminate signal from background. The neutrino mo- mentum in the decaytb!‘bbis computed assuming the

transverse component to be equal toEmissT , and extracting the longitudinal component (pz) by constraining the ‘- invariant mass tomW ¼80:42 GeV. This gives a quadratic equation in pz and the solution with the smaller jpzj is used. If the solution is complex, only the real part is taken and the imaginary part is neglected.

Figure1 shows the data and expected background dis- tributions of mtb for single- and double-tagged two-jet events. The data event with the highest mtb value corre- sponds to a single-tagged event with mtb’2:0 TeV. The

BUMPHUNTERtool [44] is used to search for a local excess in the data due to the production of a tbresonance. This tool is used to test the consistency of the data with the SM background only hypothesis, comparing the data to the SM prediction over the spectrum of the tb invariant mass, scanning over sliding mass windows from 0.5 to 2.0 TeV.

The width of the mass windows is chosen to be constant in logðmtbÞ as shown in Fig.1to deal with low background MC statistics in the higher mass bins. This comparison has been performed for single- and double-tagged events separately. The region with the highest data-background difference is 1024–1129 (764–842) GeV for single (double)-tagged events. The probability of observing the SM background fluctuating up to or above the number of observed data events in these regions is 0.66 for single- tagged events and 0.72 for double-tagged events. These values, which are based on the statistical error only, in- dicate that there is no significant evidence for tb reso- nances in the observed data.

Systematic uncertainties from various sources affecting the background and the signal acceptance (rate uncer- tainty), as well as shape changes in the invariant mass distribution (shape uncertainty) are considered.

The jet energy scale and the uncertainty on theb-tagging scale factors are the dominant systematic uncertainties for the signal. The background normalization yields are the dominant systematic uncertainty for the background TABLE II. Predicted signal event yields derived using the

theoretical cross section times the branching ratio values for WR0 !tb, for single- and double-tagged two-jet events in 1:04 fb1 of data. The uncertainties correspond to the NLO cross section uncertainties [13].

mWR0 [GeV] Single-tagged Double-tagged

500 97337 45517

750 1749 774

1000 423 151

1250 111 3:90:3

1500 3:20:3 1:00:1

1750 1:00:1 0:260:03

2000 0:360:04 0:090:01

TABLE III. Predicted background event yields compared to the total observed event yields for single- and double-tagged two-jet events in 1:04 fb1 of data. All Wþjet samples are scaled by the factors determined from data, with the uncertain- ties also derived from data. The multijet estimation is from the fitting method with a 50% (100%) uncertainty for single- (double-) tagged events. All the other predictions are derived using the theoretical cross sections and uncertainties.

Samples Single-tagged Double-tagged

Wþjets 59701000 290180

Multijets 1120560 4747

tt 1560130 36030

Single top 124090 12010

Diboson,Zþjets 320120 142

Total prediction 10 2001200 830190

Data 10 428 844

PRL109,081801 (2012) P H Y S I C A L R E V I E W L E T T E R S 24 AUGUST 2012

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contribution. The jet energy scale uncertainty is evaluated by scaling 1 up or down the energy of each jet. The b-tagging scale factors are pT dependent and have an uncertainty between 8% and 20%. The multijet back- ground uncertainty has already been described. The uncer- tainty on the normalization of the Wþjets background and its flavor composition include both systematic contri- butions and a statistical contribution from the limited size of the sample. TheWþjet flavor uncertainties are treated as fully correlated between Wbb and Wcc and uncorre- lated otherwise. Theoretical cross section uncertainties for the top (tt and single top), diboson and Zþjet back- grounds of 10%, 5%, and 60% are assigned, respectively.

The Zþjet theoretical cross section uncertainty is estimated based on the variation of ALPGEN parameters, and a relative uncertainty of 50% on the heavy-quark contributions, but it has a very small impact on the result

due to the small contribution ofZþjet events. Systematic uncertainties due to the residual differences between data and MC simulation for the reconstruction and energy calibration of jets, electrons, and muons are estimated to have a small impact on the result. The uncertainty on the integrated luminosity is 3.7% [3]. The uncertainty on the background modeling in the mtb distribution is evaluated using pretagged data and found to be negligible.

An uncertainty due to the MC event generator is esti- mated by comparing MC@NLOandPOWHEG[45,46] fortt and ACERMC and MC@NLO for single top events. The uncertainty in parton shower modeling is estimated by comparing twoPOWHEGttsamples for which the hadroni- zation is performed by PYTHIA or HERWIG. Uncertainties from modeling the amount of initial and final-state QCD radiation are also taken into account. The uncertainty due to the specific choice of PDFs in the simulated events is determined by reweighting the MC events using the NNPDF20, MSTW2008, and CTEQ6.6 [20] eigenvector PDF sets. Finally, an uncertainty to account for the limited MC sample sizes is also included.

No significant data excess is identified for any value of mtb, and an upper limit on theWR0 !tbproduction cross section () times theBðWR0 !tbÞat 95% credibility-level (C.L.) is determined using a Bayesian approach assuming flat priors [47]. The likelihood function used is the product of the Poisson probabilities over all mass bins [48] per channel. The combination of single- and double-tagged events is done by extending the likelihood function;

the joint likelihood is the product of Poisson probabilities for each individual bin in each channel. Systematic and statistical uncertainties are incorporated and treated as nuisance parameters with a Gaussian probability density function. Figure 2 shows the observed and the expected limits from single- and double-tagged events combined. Observed (expected) upper limits obtained on ðpp!WR0Þ BðWR0 !tbÞat 95% C.L. lie in the range

[GeV]

mtb

500 1000 1500 2000 2500

Events

10-1

1 10 102

103

Data t t W+jets Diboson, Z+jets Single top Multijets

(m = 1 TeV) x 10 W’R

JES Uncertainty

= 1.04 fb-1

L dt

= 7 TeV s ATLAS 2 jets 1-tag

[GeV]

mtb

500 1000 1500 2000 2500

Events

1 10 102

Data t t W+jets Diboson, Z+jets Single top Multijets

(m = 1 TeV) x 10 W’R

JES Uncertainty

= 1.04 fb-1

L dt

= 7 TeV s ATLAS 2 jets 2-tag

FIG. 1 (color online). The distribution ofmtbfor single-tagged (top) and double-tagged (bottom) two-jet events in data com- pared to standard model expectations. The expectedWR0 signal, normalized to the theoretical cross section times the BðWR0 !tbÞ values from TableI, has been scaled by a factor of 10. The effect of the jet energy scale (JES) uncertainty on the predicted background is shown, as are the data statistical un- certainties. The bin width is constant inlogðmtbÞ. The highest bin in each plot includes overflows.

[TeV]

mW’

0.6 0.8 1 1.2 1.4 1.6 1.8 2

tb) [pb] B(W’ × W’)(ppσ

10-1

1 10

102 95% CL Expected limit

σ

± 1 Expected

σ

± 2 Expected

95% CL Observed limit Theory

W’R

ATLAS 1-tag and 2-tag

L dt = 1.04 fb-1

s = 7 TeV

FIG. 2 (color online). 95% C.L. limit on the cross section, ðpp!WR0Þ, times branching ratio for W0R!tbas a function of theW0boson mass. The theory curve is also shown.

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6.1–1.0 (4.5–1.4) pb for WR0 masses ranging from 0.5 to 2.0 TeV. TheseBlimits are also applicable to a left- handed W0. The B limits are converted into mass limits using the intersection between the theoretical Bcurve as a function of mWR0 and the expected and observedBlimit curves. The corresponding observed (expected) 95% C.L. lower limit ismW0R>1:13ð1:13Þ TeV.

These are currently the most stringent direct limits on production ofWR0 !tb.

We thank CERN for the very successful operation of the LHC, as well as the support staff from our institutions without whom ATLAS could not be operated efficiently.

We thank Z. Sullivan for discussions on theW0model and for providing NLO signal cross section calculations. We acknowledge the support of ANPCyT, Argentina; YerPhI, Armenia; ARC, Australia; BMWF, Austria; ANAS, Azerbaijan; SSTC, Belarus; CNPq and FAPESP, Brazil;

NSERC, NRC and CFI, Canada; CERN; CONICYT, Chile;

CAS, MOST and NSFC, China; COLCIENCIAS, Colombia; MSMT CR, MPO CR and VSC CR, Czech Republic; DNRF, DNSRC and Lundbeck Foundation, Denmark; EPLANET and ERC, European Union; IN2P3- CNRS, CEA-DSM/IRFU, France; GNAS, Georgia;

BMBF, DFG, HGF, MPG and AvH Foundation, Germany; GSRT, Greece; ISF, MINERVA, GIF, DIP and Benoziyo Center, Israel; INFN, Italy; MEXT and JSPS, Japan; CNRST, Morocco; FOM and NWO, Netherlands;

RCN, Norway; MNiSW, Poland; GRICES and FCT, Portugal; MERYS (MECTS), Romania; MES of Russia and ROSATOM, Russian Federation; JINR; MSTD, Serbia; MSSR, Slovakia; ARRS and MVZT, Slovenia;

DST/NRF, South Africa; MICINN, Spain; SRC and Wallenberg Foundation, Sweden; SER, SNSF and Cantons of Bern and Geneva, Switzerland; NSC, Taiwan;

TAEK, Turkey; STFC, the Royal Society and Leverhulme Trust, United Kingdom; DOE and NSF, United States of America. The crucial computing support from all WLCG partners is acknowledged gratefully, in particular, from CERN and the ATLAS Tier-1 facilities at TRIUMF (Canada), NDGF (Denmark, Norway, Sweden), CC- IN2P3 (France), KIT/GridKA (Germany), INFN-CNAF (Italy), NL-T1 (Netherlands), PIC (Spain), ASGC (Taiwan), RAL (UK) and BNL (USA) and in the Tier-2 facilities worldwide.

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51b High Energy Physics Institute, Tbilisi State University, Tbilisi, Georgia. 52 II Physikalisches Institut, Justus-Liebig-Universita¨t Giessen,

51b High Energy Physics Institute, Tbilisi State University, Tbilisi, Georgia. 52 II Physikalisches Institut, Justus-Liebig-Universita¨t Giessen,

50b High Energy Physics Institute, Tbilisi State University, Tbilisi, Georgia. 51 II Physikalisches Institut, Justus-Liebig-Universit¨at Giessen,

50b High Energy Physics Institute, Tbilisi State University, Tbilisi, Georgia.. 51 II Physikalisches Institut, Justus-Liebig-Universita¨t Giessen,