Article
Reference
Search for New High-Mass Particles Decaying to Lepton Pairs in pp Collisions at s√=1.96 TeV
CDF Collaboration
CAMPANELLI, Mario (Collab.), et al.
Abstract
A search for new particles (X) that decay to electron or muon pairs has been performed using approximately 200 pb−1 of pp collision data at s√=1.96 TeV collected by the CDF II experiment at the Fermilab Tevatron. Limits on σ(pp→X)BR(X→ℓℓ) are presented as a function of dilepton invariant mass mℓℓ>150 GeV/c2, for different spin hypotheses (0, 1, or 2). The limits are approximately 25 fb for mℓℓ>600 GeV/c2. Lower mass bounds for X from representative models beyond the standard model including heavy neutral gauge bosons are presented.
CDF Collaboration, CAMPANELLI, Mario (Collab.), et al . Search for New High-Mass Particles Decaying to Lepton Pairs in pp Collisions at s√=1.96 TeV. Physical Review Letters , 2005, vol.
95, no. 25, p. 252001
DOI : 10.1103/PhysRevLett.95.252001
Available at:
http://archive-ouverte.unige.ch/unige:38289
Disclaimer: layout of this document may differ from the published version.
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Search for New High-Mass Particles Decaying to Lepton Pairs in p p Collisions at p s
1:96 TeV
A. Abulencia,23D. Acosta,17J. Adelman,13T. Affolder,10T. Akimoto,53M. G. Albrow,16D. Ambrose,16S. Amerio,42 D. Amidei,33A. Anastassov,50K. Anikeev,16A. Annovi,44J. Antos,1M. Aoki,53G. Apollinari,16J.-F. Arguin,32 T. Arisawa,55A. Artikov,14W. Ashmanskas,16A. Attal,8F. Azfar,41P. Azzi-Bacchetta,42P. Azzurri,44N. Bacchetta,42 H. Bachacou,28W. Badgett,16A. Barbaro-Galtieri,28V. E. Barnes,46B. A. Barnett,24S. Baroiant,7V. Bartsch,30G. Bauer,31
F. Bedeschi,44S. Behari,24S. Belforte,52G. Bellettini,44J. Bellinger,57A. Belloni,31E. Ben-Haim,16D. Benjamin,15 A. Beretvas,16J. Beringer,28T. Berry,29A. Bhatti,48M. Binkley,16D. Bisello,42M. Bishai,16R. E. Blair,2C. Blocker,6
K. Bloom,33B. Blumenfeld,24A. Bocci,48A. Bodek,47V. Boisvert,47G. Bolla,46A. Bolshov,31D. Bortoletto,46 J. Boudreau,45S. Bourov,16A. Boveia,10B. Brau,10C. Bromberg,34E. Brubaker,13J. Budagov,14H. S. Budd,47S. Budd,23
K. Burkett,16G. Busetto,42P. Bussey,20K. L. Byrum,2S. Cabrera,15M. Campanelli,19M. Campbell,33F. Canelli,8 A. Canepa,46D. Carlsmith,57R. Carosi,44S. Carron,15M. Casarsa,52A. Castro,5P. Catastini,44D. Cauz,52 M. Cavalli-Sforza,3A. Cerri,28L. Cerrito,41S. H. Chang,27J. Chapman,33Y. C. Chen,1M. Chertok,7G. Chiarelli,44 G. Chlachidze,14F. Chlebana,16I. Cho,27K. Cho,27D. Chokheli,14J. P. Chou,21P. H. Chu,23S. H. Chuang,57K. Chung,12
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A. F. Garfinkel,46C. Gay,58H. Gerberich,23E. Gerchtein,12D. Gerdes,33S. Giagu,49P. Giannetti,44A. Gibson,28 K. Gibson,12C. Ginsburg,16K. Giolo,46M. Giordani,52M. Giunta,44G. Giurgiu,12V. Glagolev,14D. Glenzinski,16 M. Gold,36N. Goldschmidt,33J. Goldstein,41G. Gomez,11G. Gomez-Ceballos,11M. Goncharov,51O. Gonza´lez,46 I. Gorelov,36A. T. Goshaw,15Y. Gotra,45K. Goulianos,48A. Gresele,42M. Griffiths,29S. Grinstein,21C. Grosso-Pilcher,13 U. Grundler,23J. Guimaraes da Costa,21C. Haber,28S. R. Hahn,16K. Hahn,43E. Halkiadakis,47A. Hamilton,32B-Y. Han,47 R. Handler,57F. Happacher,18K. Hara,53M. Hare,54S. Harper,41R. F. Harr,56R. M. Harris,16K. Hatakeyama,48J. Hauser,8 C. Hays,15H. Hayward,29A. Heijboer,43B. Heinemann,29J. Heinrich,43M. Hennecke,25M. Herndon,57J. Heuser,25
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V. Khotilovich,51B. Kilminster,38D. H. Kim,27H. S. Kim,27J. E. Kim,27M. J. Kim,12M. S. Kim,27S. B. Kim,27 S. H. Kim,53Y. K. Kim,13M. Kirby,15L. Kirsch,6S. Klimenko,17M. Klute,31B. Knuteson,31B. R. Ko,15H. Kobayashi,53
K. Kondo,55D. J. Kong,27J. Konigsberg,17K. Kordas,18A. Korytov,17A. V. Kotwal,15A. Kovalev,43J. Kraus,23 I. Kravchenko,31M. Kreps,25A. Kreymer,16J. Kroll,43N. Krumnack,4M. Kruse,15V. Krutelyov,51S. E. Kuhlmann,2
Y. Kusakabe,55S. Kwang,13A. T. Laasanen,46S. Lai,32S. Lami,44S. Lammel,16M. Lancaster,30R. L. Lander,7 K. Lannon,38A. Lath,50G. Latino,44I. Lazzizzera,42C. Lecci,25T. LeCompte,2J. Lee,47J. Lee,27S. W. Lee,51R. Lefe`vre,3 N. Leonardo,31S. Leone,44S. Levy,13J. D. Lewis,16K. Li,58C. Lin,58C. S. Lin,16M. Lindgren,16E. Lipeles,9T. M. Liss,23 A. Lister,19D. O. Litvintsev,16T. Liu,16Y. Liu,19N. S. Lockyer,43A. Loginov,35M. Loreti,42P. Loverre,49R.-S. Lu,1
D. Lucchesi,42P. Lujan,28P. Lukens,16G. Lungu,17L. Lyons,41J. Lys,28R. Lysak,1E. Lytken,46P. Mack,25 D. MacQueen,32R. Madrak,16K. Maeshima,16P. Maksimovic,24G. Manca,29F. Margaroli,5R. Marginean,16C. Marino,23
A. Martin,58M. Martin,24V. Martin,37M. Martı´nez,3T. Maruyama,53H. Matsunaga,53M. E. Mattson,56R. Mazini,32 P. Mazzanti,5K. S. McFarland,47D. McGivern,30P. McIntyre,51P. McNamara,50R. McNulty,29A. Mehta,29 S. Menzemer,31A. Menzione,44P. Merkel,46C. Mesropian,48A. Messina,49M. von der Mey,8T. Miao,16N. Miladinovic,6
J. Miles,31R. Miller,34J. S. Miller,33C. Mills,10M. Milnik,25R. Miquel,28S. Miscetti,18G. Mitselmakher,17 A. Miyamoto,26N. Moggi,5B. Mohr,8R. Moore,16M. Morello,44P. Movilla Fernandez,28J. Mu¨lmensta¨dt,28 A. Mukherjee,16M. Mulhearn,31Th. Muller,25R. Mumford,24P. Murat,16J. Nachtman,16S. Nahn,58I. Nakano,39
A. Napier,54D. Naumov,36V. Necula,17C. Neu,43M. S. Neubauer,9J. Nielsen,28T. Nigmanov,45L. Nodulman,2 O. Norniella,3T. Ogawa,55S. H. Oh,15Y. D. Oh,27T. Okusawa,40R. Oldeman,29R. Orava,22K. Osterberg,22 C. Pagliarone,44E. Palencia,11R. Paoletti,44V. Papadimitriou,16A. Papikonomou,25A. A. Paramonov,13B. Parks,38
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F. Prakoshyn,14A. Pronko,16J. Proudfoot,2F. Ptohos,18G. Punzi,44J. Pursley,24J. Rademacker,41A. Rahaman,45 A. Rakitin,31S. Rappoccio,21F. Ratnikov,50B. Reisert,16V. Rekovic,36N. van Remortel,22P. Renton,41M. Rescigno,49 S. Richter,25F. Rimondi,5K. Rinnert,25L. Ristori,44W. J. Robertson,15A. Robson,20T. Rodrigo,11E. Rogers,23S. Rolli,54 R. Roser,16M. Rossi,52R. Rossin,17C. Rott,46A. Ruiz,11J. Russ,12V. Rusu,13D. Ryan,54H. Saarikko,22S. Sabik,32 A. Safonov,7W. K. Sakumoto,47G. Salamanna,49O. Salto,3D. Saltzberg,8C. Sanchez,3L. Santi,52S. Sarkar,49K. Sato,53
P. Savard,32A. Savoy-Navarro,16T. Scheidle,25P. Schlabach,16E. E. Schmidt,16M. P. Schmidt,58M. Schmitt,37 T. Schwarz,33L. Scodellaro,11A. L. Scott,10A. Scribano,44F. Scuri,44A. Sedov,46S. Seidel,36Y. Seiya,40A. Semenov,14
F. Semeria,5L. Sexton-Kennedy,16I. Sfiligoi,18M. D. Shapiro,28T. Shears,29P. F. Shepard,45D. Sherman,21 M. Shimojima,53M. Shochet,13Y. Shon,57I. Shreyber,35A. Sidoti,44A. Sill,16P. Sinervo,32A. Sisakyan,14J. Sjolin,41 A. Skiba,25A. J. Slaughter,16K. Sliwa,54D. Smirnov,36J. R. Smith,7F. D. Snider,16R. Snihur,32M. Soderberg,33A. Soha,7
S. Somalwar,50V. Sorin,34J. Spalding,16F. Spinella,44P. Squillacioti,44M. Stanitzki,58A. Staveris-Polykalas,44 R. St. Denis,20B. Stelzer,8O. Stelzer-Chilton,32D. Stentz,37J. Strologas,36D. Stuart,10J. S. Suh,27A. Sukhanov,17
K. Sumorok,31H. Sun,54T. Suzuki,53A. Taffard,23R. Tafirout,32R. Takashima,39Y. Takeuchi,53K. Takikawa,53 M. Tanaka,2R. Tanaka,39M. Tecchio,33P. K. Teng,1K. Terashi,48S. Tether,31J. Thom,16A. S. Thompson,20 E. Thomson,43P. Tipton,47V. Tiwari,12S. Tkaczyk,16D. Toback,51K. Tollefson,34T. Tomura,53D. Tonelli,44 M. To¨nnesmann,34S. Torre,44D. Torretta,16S. Tourneur,16W. Trischuk,32R. Tsuchiya,55S. Tsuno,39N. Turini,44 F. Ukegawa,53T. Unverhau,20S. Uozumi,53D. Usynin,43L. Vacavant,28A. Vaiciulis,47S. Vallecorsa,19A. Varganov,33
E. Vataga,36G. Velev,16G. Veramendi,23V. Veszpremi,46T. Vickey,23R. Vidal,16I. Vila,11R. Vilar,11I. Vollrath,32 I. Volobouev,28F. Wu¨rthwein,9P. Wagner,51R. G. Wagner,2R. L. Wagner,16W. Wagner,25R. Wallny,8T. Walter,25 Z. Wan,50M. J. Wang,1S. M. Wang,17A. Warburton,32B. Ward,20S. Waschke,20D. Waters,30T. Watts,50M. Weber,28
W. C. Wester III,16B. Whitehouse,54D. Whiteson,43A. B. Wicklund,2E. Wicklund,16H. H. Williams,43P. Wilson,16 B. L. Winer,38P. Wittich,43S. Wolbers,16C. Wolfe,13S. Worm,50T. Wright,33X. Wu,19S. M. Wynne,29A. Yagil,16 K. Yamamoto,40J. Yamaoka,50Y. Yamashita,39C. Yang,58U. K. Yang,13W. M. Yao,28G. P. Yeh,16J. Yoh,16K. Yorita,13
T. Yoshida,40I. Yu,27S. S. Yu,43J. C. Yun,16L. Zanello,49A. Zanetti,52I. Zaw,21F. Zetti,44X. Zhang,23 J. Zhou,50and S. Zucchelli5
(CDF Collaboration)
1Institute of Physics, Academia Sinica, Taipei, Taiwan 11529, Republic of China
2Argonne National Laboratory, Argonne, Illinois 60439, USA
3Institut de Fisica d’Altes Energies, Universitat Autonoma de Barcelona, E-08193, Bellaterra (Barcelona), Spain
4Baylor University, Waco, Texas 76798, USA
5Istituto Nazionale di Fisica Nucleare, University of Bologna, I-40127 Bologna, Italy
6Brandeis University, Waltham, Massachusetts 02254, USA
7University of California, Davis, Davis, California 95616, USA
8University of California, Los Angeles, Los Angeles, California 90024, USA
9University of California, San Diego, La Jolla, California 92093, USA
10University of California, Santa Barbara, Santa Barbara, California 93106, USA
11Instituto de Fisica de Cantabria, CSIC-University of Cantabria, 39005 Santander, Spain
12Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
13Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA
14Joint Institute for Nuclear Research, RU-141980 Dubna, Russia
15Duke University, Durham, North Carolina 27708
16Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA
17University of Florida, Gainesville, Florida 32611, USA
18Laboratori Nazionali di Frascati, Istituto Nazionale di Fisica Nucleare, I-00044 Frascati, Italy
19University of Geneva, CH-1211 Geneva 4, Switzerland
20Glasgow University, Glasgow G12 8QQ, United Kingdom
21Harvard University, Cambridge, Massachusetts 02138, USA
252001-2
22Division of High Energy Physics, Department of Physics, University of Helsinki and Helsinki Institute of Physics, FIN-00014, Helsinki, Finland
23University of Illinois, Urbana, Illinois 61801, USA
24The Johns Hopkins University, Baltimore, Maryland 21218, USA
25Institutfu¨r Experimentelle Kernphysik, Universita¨t Karlsruhe, 76128 Karlsruhe, Germany
26High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305, Japan
27Center for High Energy Physics: Kyungpook National University, Taegu 702-701, Korea, Seoul National University, Seoul 151-742, Korea,
and SungKyunKwan University, Suwon 440-746, Korea
28Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
29University of Liverpool, Liverpool L69 7ZE, United Kingdom
30University College London, London WC1E 6BT, United Kingdom
31Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
32Institute of Particle Physics: McGill University, Montre´al H3A 2T8, Canada and University of Toronto, Toronto M5S 1A7, Canada
33University of Michigan, Ann Arbor, Michigan 48109, USA
34Michigan State University, East Lansing, Michigan 48824, USA
35Institution for Theoretical and Experimental Physics, ITEP, Moscow 117259, Russia
36University of New Mexico, Albuquerque, New Mexico 87131, USA
37Northwestern University, Evanston, Illinois 60208, USA
38The Ohio State University, Columbus, Ohio 43210, USA
39Okayama University, Okayama 700-8530, Japan
40Osaka City University, Osaka 588, Japan
41University of Oxford, Oxford OX1 3RH, United Kingdom
42University of Padova, Istituto Nazionale di Fisica Nucleare, Sezione di Padova-Trento, I-35131 Padova, Italy
43University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
44Istituto Nazionale di Fisica Nucleare Pisa, Universities of Pisa, Siena and Scuola Normale Superiore, I-56127 Pisa, Italy
45University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
46Purdue University, West Lafayette, Indiana 47907, USA
47University of Rochester, Rochester, New York 14627, USA
48The Rockefeller University, New York, New York 10021, USA
49Istituto Nazionale di Fisica Nucleare, Sezione di Roma 1, University of Rome ‘‘La Sapienza’’, I-00185 Roma, Italy
50Rutgers University, Piscataway, New Jersey 08855, USA
51Texas A&M University, College Station, Texas 77843, USA
52Istituto Nazionale di Fisica Nucleare, University of Trieste, Udine, Italy
53University of Tsukuba, Tsukuba, Ibaraki 305, Japan
54Tufts University, Medford, Massachusetts 02155, USA
55Waseda University, Tokyo 169, Japan
56Wayne State University, Detroit, Michigan 48201, USA
57University of Wisconsin, Madison, Wisconsin 53706, USA
58Yale University, New Haven, Connecticut 06520, USA (Received 25 July 2005; published 12 December 2005)
A search for new particles (X) that decay to electron or muon pairs has been performed using approximately200 pb1 ofpp collision data at
ps
1:96 TeVcollected by the CDF II experiment at the Fermilab Tevatron. Limits on pp!XBRX!‘‘ are presented as a function of dilepton invariant massm‘‘>150 GeV=c2, for different spin hypotheses (0, 1, or 2). The limits are approximately 25 fb form‘‘>600 GeV=c2. Lower mass bounds forXfrom representative models beyond the standard model including heavy neutral gauge bosons are presented.
DOI:10.1103/PhysRevLett.95.252001 PACS numbers: 13.85.Rm, 12.38.Qk, 13.85.Qk, 14.70.Pw
A search for new particles (X) has been performed in the dilepton (ee and ) decay channel using pp collision data at
ps
1:96 TeVcollected by the upgraded Collider Detector at Fermilab (CDF II) at the Tevatron. The ob- served dilepton invariant mass (m‘‘) distribution is com- pared with that expected from standard model (SM) processes for m‘‘>150 GeV=c2. Many models beyond the SM predict such particles with masses at or below the
TeV scale [1]. Generic searches for spin 0, 1, and 2 par- ticles are performed, taking into account the dependence of the experimental acceptance on the spin-dependent angular distributions of the lepton pair. While this approach pro- vides sensitivity to broad classes of new models, the spin 1 result addresses an issue of fundamental importance in particle physics: the possible existence of extra neutral gauge bosons expected in many models with a higher
gauge structure than that of the SM. A generic SM-like (sequential) Z0 boson (Z0SM) is defined to have the same coupling strengths to fermions as those of the SMZ0boson and its mass bound provides a convenient reference indi- cating the experimental sensitivity. The previous bestZ0SM lower mass bounds from direct searches are690 GeV=c2 by the CDF collaboration [2] and670 GeV=c2 by the D0 collaboration [3] at the 95% confidence level (C.L.) [4].
Increased integrated luminosity and center-of-mass energy for Run II are expected to provide a significant improve- ment over these previous results. Indirect limits on the mass ofZ0bosons have been set by the LEP II experiments [5]. A more detailed discussion of the LEP results and the advantages of the Tevatron search can be found in Ref. [6].
In addition toZ0SM, we considerZ0bosons (spin 1) from the E6model (Z,Z ,Z,ZI) [7] and the littlest Higgs model (ZH) [8], technicolor (TC) particles (spin 1) [9], sneutrinos (~) in anR-parity violating supersymmetric model (spin 0) [10], and gravitons in the Randall-Sundrum (RS) warped extra dimension model (spin 2) [11]. Independent of spe- cific models, the limits onX‘‘ pp !XBRX!
‘‘presented here can be used to set lower bounds on the mass ofX (mX) in many classes of models with a narrow width resonance. Using the spin 1 X‘‘ limit result, bounds on the couplings in more generalized Z0 models [6] have been derived and are presented.
The CDF II detector is a forward-backward and azimu- thally symmetric detector with a tracking system immersed in a 1.4 T solenoidal magnetic field, calorimetry for mea- suring the energies of particles, and detectors to identify deeply penetrating muons [12]. The tracking system con- sists of an open-cell drift chamber, the central outer tracker (COT), surrounding an eight layer silicon tracker. The fiducial coverage of the COT isjj<1:0and the silicon extends this coverage forward tojj<1:8[13]. The track- ing system is surrounded by electromagnetic (EM) and hadronic calorimeters that are divided into a central calo- rimeter (jj<1:1) and two forward, or ‘‘plug,’’ calorim- eters (1:2<jj<3:6). Drift chambers, located outside the hadronic calorimeters and also outside an additional 60 cm of iron shield, detect muons havingjj<1:0.
Candidate events are selected from data collected during 2002 – 2003, corresponding to an integrated luminosity ranging from 173 to200 pb1, depending upon the detec- tor elements required for the analysis. Dielectron events with a central candidate are collected using a single- electron trigger requiring a loosely selected electron in the central EM calorimeter with ET >18 GeV and a matching COT track with pT>9 GeV=c. Dielectron events without a central candidate are collected using a trigger requiring two loosely selected electron candidates in the plug EM calorimeter with ET >18 GeV and no tracking requirement. Additional triggers with higher ET thresholds but looser electron-selection requirements are used to ensure full efficiency for high-mass events.
Together, these triggers are essentially 100% efficient for the eedecay mode form‘‘>150 GeV=c2. Dimuon can- didate events are collected with single-muon triggers which require a muon-chamber track with a matching track measured by the COT with pT>18 GeV=c. The overall trigger efficiency for thedecay mode is above 90%.
The dilepton event selection requires at least two elec- tron or two muon candidates with no charge requirement.
Both electron and muon candidates are required to be isolated with a cut on the energy found within a cone of
angular radiusR
2 2
p 0:4around the lep-
ton candidate. Electron candidates require an EM cluster withET>25 GeVand longitudinal and transverse shower profiles consistent with electrons [14]. At least one of the two electrons is required to have a matching track, except
2
Events / 5 GeV/c
10
-210
-11 10 10
210
310
4 DataDrell - Yan QCD Background
t
0, t
±Z
-, W
+W
-, W τ τ+
ee
2
Events / 5 GeV/c
10
-210
-11 10 10
210
310
42) Dielectron Mass (GeV/c 200 300 400 500 600 2Events / 5 GeV/c
0 5 10 15 20 25
2) Dielectron Mass (GeV/c 200 300 400 500 600 2Events / 5 GeV/c
0 5 10 15 20 25
2
) Dilepton Mass (GeV/c
200 400 600
2
Events / 5 GeV/c
10
-210
-11 10 10
210
310
4 DataDrell - Yan QCD + Cosmic
t
0, t
±Z
-, W
+W
-, W τ τ+
µ µ
2
) Dilepton Mass (GeV/c
200 400 600
2
Events / 5 GeV/c
10
-210
-11 10 10
210
310
42) Dimuon Mass (GeV/c 200 300 400 500 600 2Events / 5 GeV/c
0 2 4 6 8 10
2) Dimuon Mass (GeV/c 200 300 400 500 600 2Events / 5 GeV/c
0 2 4 6 8 10
FIG. 1 (color online). The ee (top panel) and (bottom panel) invariant mass distributions of the observed data (points) with the background prediction (solid line). The background is corrected for acceptance and efficiency. The insets show the data with a fixed bin width of5 GeV=c2form‘‘>150 GeV=c2.
252001-4
for events with two central electrons, which both require matching tracks. The inclusion of events with two forward electrons is possible due to a calorimeter-seeded forward tracking algorithm [15]. Events with a significant amount of 6ET are rejected to remove Wjets and others back- grounds with unreconstructed particles. All muon candi- dates are required to have a COT track with pT>
20 GeV=c and calorimeter energy deposition consistent with a minimum-ionizing particle signal, where at least one candidate must also have a matching track in the muon chambers. To reject cosmic-ray events, muon candidates are required to have COT hit timing consistent with outward-moving particles [16].
The selected data contain 14 799 ee and 7775 candidate events with the dilepton invariant mass distri- butions shown in Fig. 1. These samples are dominated by events in the Z0 peak. In this region the dielectron sample has a larger acceptance; however, in the high- mass search region the two channels have similar sensitiv- ity. The lepton identification efficiencies are estimated using a purified sample of dilepton events fromZ0 decays [2]. Since leptons from the decay of high-mass objects typically have higher pT than this sample, the lepton identification efficiency is studied as a function of pT,
and the selection criteria are chosen to ensure high effi- ciencies throughout the relevant pT range [17,18]. The geometric and kinematic acceptance as a function of reso- nance mass is estimated using Monte Carlo (MC) samples:
the PYTHIA event generator [19] with CTEQ5L parton distribution functions (PDFs) [20] and the CDF II detector simulation are used except as noted. Signal samples for the heavy Higgs (spin 0), Z0SM (spin 1), and RS Graviton (spin 2) are generated to model each spin hypothesis.
The product of acceptance and selection efficiency is ap- proximately 50% formX>400 GeV=c2foreeandfor all spins.
The primary and irreducible SM background results from Drell-Yan production of ee and pairs. It is estimated using MC simulation normalized to fit to the data in the Z0 peak, after the other background contribu- tions have been subtracted. This reduces the effect of the luminosity uncertainty on the background estimate. The other contributions such as tt (generated with HERWIG
[21]), ,WW, andWZ0 are estimated using MC simulation. Some accepted eeevents come from nondie- lectron sources, predominantly misidentified QCD dijet events. This background is estimated by extrapolating from events where the leptons are not isolated. The QCD background in the channel is estimated using same- sign events that pass the selection criteria and is found to be small. The cosmic-ray background in the channel is estimated by applying the signal selection criteria to a sample of cosmic-ray data collected by the CDF II detector and is non-negligible at high mass (m‘‘>400 GeV=c2).
Figure 1 compares the estimated background distributions to theeeanddata. Table I shows the integrated number of events observed and expected above a givenm‘‘.
Systematic uncertainties on the acceptance, efficiency, and luminosity result in a relative uncertainty on the scale ofX‘‘of approximately 10%. The largest contributions TABLE I. Integrated number of events above a givenm‘‘for
the observed data and estimated background.
m‘‘ ee
(GeV=c2) Observed Expected Observed Expected
>150 205 212:999:3 58 55:32:5
>200 84 78:233:4 18 20:91:0
>300 22 13:64:4 6 5:20:3
>400 5 2:90:7 1 2:30:2
>500 2 0:80:1 1 1:20:1
200 400 600
ll) (pb)→BR(X⋅X)→ p(pσ
10-2
10-1
1
ll) NLO
→ ν∼
⋅BR(
σ
BR=0.01) 2×
λ τ ( ν∼ RPV '
a) spin-0
2) X mass (GeV/c
200 400 600 800
×1.3 ll) LO SM→
⋅BR(Z σ
×1.3 ll) LO η→
⋅BR(Z σ
'
b) spin-1
200 400 600 800
×1.3 ll) LO
→ BR(G*
⋅ σ
=0.1) RS Graviton (k/MPl
95% CL limits µ) µ
→
⋅BR(X σ
→ ee)
⋅BR(X σ
→ ll)
⋅BR(X σ
c) spin-2
FIG. 2 (color online). TheX‘‘limits fromee,, and the combined channels as a function ofmXfor spin 0 (a), spin 1 (b), and spin 2 (c). For the combined channel,BRX!ee BRX![BRX!‘‘] is assumed. Also shown are theoretical cross- section predictions of some representative models [22].
are from the uncertainties on luminosity, energy and mo- mentum scales and resolutions, and the choice of PDF as estimated by comparison of different PDF parametriza- tions. Background uncertainty in the ee channel ranging from 40 –80% due to misidentified jets results in absolute uncertainties on values ofX‘‘that are large form‘‘<
350 GeV=c2 but negligible at the higher mass region.
Background uncertainties in the channel are30%
and20%due to fake muons and cosmic rays, respec- tively. The relative uncertainty with respect to the scale of X‘‘ on the electroweak backgrounds is 5% in both channels.
Since no significant excess of events is observed, limits on X‘‘ are extracted using a Bayesian, binned like- lihood method. For combined dilepton results assuming BRX!ee BRX!, a joint likelihood is formed from the product of the individual-channel likelihoods accounting for the correlations among systematic uncer- tainties. When the nuisance parameters are integrated out, uncertainties on PDF, luminosity and common selection efficiencies are taken as 100% correlated among the differ- ent components of the acceptance. This joint likelihood is converted to a posterior density in the signal cross section and numerically integrated to obtain the 95% C.L. limits on X‘‘. Figure 2 and Table II show theX‘‘limits as a function ofmX with spins 0, 1, and 2. At high mass (mX>
600 GeV=c2) the limits are approximately 25 fb for all spins (but best for spin 0) and are consistent with expected limits in the absence of signal. The corresponding CDF Run I limit was 40 fb [2]. The sensitivity of these searches is enhanced compared to the Run I searches by the addition of the plug-plug dielectrons (10% relative gain ineeac- ceptance), an increase in muon trigger coverage and the use of muons without muon-chamber tracks (50% relative gain in acceptance). Figure 2 also shows the predic- tions from some representative models [22] with higher order corrections [23]. The particleXis assumed to decay only to the known fermions in the mass range examined.
From the spin 0X‘‘limit shown in Fig. 2(a), the lower mass bounds of 680, 620, and460 GeV=c2 fromeechan- nel and 665, 590, and450 GeV=c2 fromchannel are obtained for ~ for the coupling strength squared times branching fraction 02 Br 0:01, 0.005, and 0.001, re- spectively. For spin 1 [Fig. 2(b)] the following mass bounds are obtained from the combined channel: 825, 690, 675, 720, and 615 GeV=c2 for Z0SM, Z, Z , Z, and ZI, re- spectively, and 885, 860, 805, and725 GeV=c2forZHwith
the mixing parameter cotH 1:0, 0.9, 0.7, and 0.5, re- spectively. Similarly, the lower mass limits of280 GeV=c2 (270 GeV=c2) are set forTCand!TCin the TC model [9]
with corresponding values of Technicolor-scale mass pa- rameters MV MA of500 GeV=c2 (400 GeV=c2). From the spin 2X‘‘limit shown in Fig. 2(c), the lower mass bounds of 710, 510, and170 GeV=c2are obtained for the first excited state of the RS graviton for dimensionless coupling parameter (k=MPL) 0.1, 0.05, and 0.01, respec- tively, where k is the relative strength of the warped dimension’s curvature scale and MPL is the effective Planck scale. A method of factorizing the couplings, charges, and 1=s dependence of Z0 cross sections from kinematic factors that depend upon PDF parametrizations allows more general constraints on possibleZ0models [6].
In this formalism, a genericZ0is described by two parame- TABLE II. 95% C.L. upper limits onpp!XBRX!‘‘(in fb) for a givenmX(inGeV=c2). Spin 1 limits are computed to 900 GeV=c2to accommodateZ0 models with large predicted cross sections.
SpinnmX 150 200 250 300 350 400 450 500 550 600 650 700 750 800 850 900
Spin 0 340 200 83 74 91 48 31 29 26 22 19 18 18 17
Spin 1 490 290 120 110 120 72 42 38 32 25 24 23 22 21 21 24
Spin 2 390 210 98 67 100 56 37 37 33 25 24 22 24 24
10-6 10-5 10-4 10-3 10-2 10-1
10-6 10-5 10-4 10-3 10-2 10-1
c
dc
uM = 900 GeV/c2 800 GeV/c2
600 GeV/c2 400 GeV/c2 200 GeV/c2 150 GeV/c2
The region above each curve is excluded.
B-xL q+xu (upper) q+xu (low
er) 10+x5
Zη Zψ
Zχ
ZI
FIG. 3 (color online). Limit contours in the (cd,cu) plane [6]
for a given Z0 mass derived from the spin 1 X‘‘ limit. All possible models for theU1BxLgroup are on the diagonal solid line, and those for theU110x5group are below the dotted line.
The two dashed lines show the range between which the values for the U1qxu group must fall. The values for the U1dxu
group may fall anywhere on the plane. The parameters of the E6-modelZ0bosons are indicated.
252001-6
ters,cd andcu, that define the coupling of down and up- type quarks to the resonance. Figure 3 shows the bounds set by the spin 1 limits in the (cd, cu) plane along with the parameters describing the fourE6-modelZ0bosons.
We thank D. Choudhury, A. Daleo, H. Logan, and S.
Mrenna for their useful contributions. We thank the Fermilab staff and the technical staffs of the participat- ing institutions for their vital contributions. This work was supported by the U.S. Department of Energy and National Science Foundation; the Italian Istituto Nazionale di Fisica Nucleare; the Ministry of Education, Culture, Sports, Science and Technology of Japan; the Natural Sciences and Engineering Research Council of Canada; the National Science Council of the Republic of China; the Swiss National Science Foundation; the A. P. Sloan Foundation;
the Bundesministerium fu¨r Bildung und Forschung, Ger- many; the Korean Science and Engineering Foundation and the Korean Research Foundation; the Particle Physics and Astronomy Research Council and the Royal Society, UK; the Russian Foundation for Basic Research;
the Comisio´n Interministerial de Ciencia y Tecnologı´a, Spain; in part by the European Community’s Human Potential Programme under Contract No. HPRN-CT- 2002-00292; and the Academy of Finland.
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