Search for a Neutral Higgs Boson Decaying to a W Boson Pair in p p Collisions at p s
1:96 TeV
A. Abulencia,23D. Acosta,17J. Adelman,13T. Affolder,10T. Akimoto,55M. G. Albrow,16D. Ambrose,16S. Amerio,43 D. Amidei,34A. Anastassov,52K. Anikeev,16A. Annovi,18J. Antos,1M. Aoki,55G. Apollinari,16J.-F. Arguin,33 T. Arisawa,57A. Artikov,14W. Ashmanskas,16A. Attal,8F. Azfar,42P. Azzi-Bacchetta,43P. Azzurri,46N. Bacchetta,43 H. Bachacou,28W. Badgett,16A. Barbaro-Galtieri,28V. E. Barnes,48B. A. Barnett,24S. Baroiant,7V. Bartsch,30G. Bauer,32
F. Bedeschi,46S. Behari,24S. Belforte,54G. Bellettini,46J. Bellinger,59A. Belloni,32E. Ben Haim,44D. Benjamin,15 A. Beretvas,16J. Beringer,28T. Berry,29A. Bhatti,50M. Binkley,16D. Bisello,43R. E. Blair,2C. Blocker,6B. Blumenfeld,24 A. Bocci,15A. Bodek,49V. Boisvert,49G. Bolla,48A. Bolshov,32D. Bortoletto,48J. Boudreau,47A. Boveia,10B. Brau,10
C. Bromberg,35E. Brubaker,13J. Budagov,14H. S. Budd,49S. Budd,23K. Burkett,16G. Busetto,43P. Bussey,20 K. L. Byrum,2S. Cabrera,15M. Campanelli,19M. Campbell,34F. Canelli,8A. Canepa,48D. Carlsmith,59R. Carosi,46 S. Carron,15M. Casarsa,54A. Castro,5P. Catastini,46D. Cauz,54M. Cavalli-Sforza,3A. Cerri,28L. Cerrito,42S. H. Chang,27 J. Chapman,34Y. C. Chen,1M. Chertok,7G. Chiarelli,46G. Chlachidze,14F. Chlebana,16I. Cho,27K. Cho,27D. Chokheli,14
J. P. Chou,21P. H. Chu,23S. H. Chuang,59K. Chung,12W. H. Chung,59Y. S. Chung,49M. Ciljak,46C. I. Ciobanu,23 M. A. Ciocci,46A. Clark,19D. Clark,6M. Coca,15G. Compostella,43M. E. Convery,50J. Conway,7B. Cooper,30 K. Copic,34M. Cordelli,18G. Cortiana,43F. Cresciolo,46A. Cruz,17C. Cuenca Almenar,7J. Cuevas,11R. Culbertson,16
D. Cyr,59S. DaRonco,43S. D’Auria,20M. D’Onofrio,3D. Dagenhart,6P. de Barbaro,49S. De Cecco,51A. Deisher,28 G. De Lentdecker,49M. Dell’Orso,46F. Delli Paoli,43S. Demers,49L. Demortier,50J. Deng,15M. Deninno,5D. De Pedis,51
P. F. Derwent,16C. Dionisi,51J. R. Dittmann,4P. DiTuro,52C. Do¨rr,25S. Donati,46M. Donega,19P. Dong,8J. Donini,43 T. Dorigo,43S. Dube,52K. Ebina,57J. Efron,39J. Ehlers,19R. Erbacher,7D. Errede,23S. Errede,23R. Eusebi,16 H. C. Fang,28S. Farrington,29I. Fedorko,46W. T. Fedorko,13R. G. Feild,60M. Feindt,25J. P. Fernandez,31R. Field,17 G. Flanagan,48L. R. Flores-Castillo,47A. Foland,21S. Forrester,7G. W. Foster,16M. Franklin,21J. C. Freeman,28I. Furic,13
M. Gallinaro,50J. Galyardt,12J. E. Garcia,46M. Garcia Sciveres,28A. F. Garfinkel,48C. Gay,60H. Gerberich,23 D. Gerdes,34S. Giagu,51P. Giannetti,46A. Gibson,28K. Gibson,12C. Ginsburg,16N. Giokaris,14K. Giolo,48M. Giordani,54 P. Giromini,18M. Giunta,46G. Giurgiu,12V. Glagolev,14D. Glenzinski,16M. Gold,37N. Goldschmidt,34J. Goldstein,42
G. Gomez,11G. Gomez-Ceballos,11M. Goncharov,53O. Gonza´lez,31I. Gorelov,37A. T. Goshaw,15Y. Gotra,47 K. Goulianos,50A. Gresele,43M. Griffiths,29S. Grinstein,21C. Grosso-Pilcher,13R. C. Group,17U. Grundler,23 J. Guimaraes da Costa,21Z. Gunay-Unalan,35C. Haber,28S. R. Hahn,16K. Hahn,45E. Halkiadakis,52A. Hamilton,33 B.-Y. Han,49J. Y. Han,49R. Handler,59F. Happacher,18K. Hara,55M. Hare,56S. Harper,42R. F. Harr,58R. M. Harris,16
K. Hatakeyama,50J. Hauser,8C. Hays,15A. Heijboer,45B. Heinemann,29J. Heinrich,45M. Herndon,59D. Hidas,15 C. S. Hill,10D. Hirschbuehl,25A. Hocker,16A. Holloway,21S. Hou,1M. Houlden,29S.-C. Hsu,9B. T. Huffman,42 R. E. Hughes,39J. Huston,35J. Incandela,10G. Introzzi,46M. Iori,51Y. Ishizawa,55A. Ivanov,7B. Iyutin,32E. James,16
D. Jang,52B. Jayatilaka,34D. Jeans,51H. Jensen,16E. J. Jeon,27S. Jindariani,17M. Jones,48K. K. Joo,27S. Y. Jun,12 T. R. Junk,23T. Kamon,53J. Kang,34P. E. Karchin,58Y. Kato,41Y. Kemp,25R. Kephart,16U. Kerzel,25V. Khotilovich,53 B. Kilminster,39D. H. Kim,27H. S. Kim,27J. E. Kim,27M. J. Kim,12S. B. Kim,27S. H. Kim,55Y. K. Kim,13L. Kirsch,6
S. Klimenko,17M. Klute,32B. Knuteson,32B. R. Ko,15H. Kobayashi,55K. Kondo,57D. J. Kong,27J. Konigsberg,17 A. Korytov,17A. V. Kotwal,15A. Kovalev,45A. Kraan,45J. Kraus,23I. Kravchenko,32M. Kreps,25J. Kroll,45 N. Krumnack,4M. Kruse,15V. Krutelyov,53S. E. Kuhlmann,2Y. Kusakabe,57S. Kwang,13A. T. Laasanen,48S. Lai,33
S. Lami,46S. Lammel,16M. Lancaster,30R. L. Lander,7K. Lannon,39A. Lath,52G. Latino,46I. Lazzizzera,43 T. LeCompte,2J. Lee,49J. Lee,27Y. J. Lee,27S. W. Lee,53R. Lefe`vre,3N. Leonardo,32S. Leone,46S. Levy,13J. D. Lewis,16 C. Lin,60C. S. Lin,16M. Lindgren,16E. Lipeles,9T. M. Liss,23A. Lister,19D. O. Litvintsev,16T. Liu,16N. S. Lockyer,45 A. Loginov,36M. Loreti,43P. Loverre,51R.-S. Lu,1D. Lucchesi,43P. Lujan,28P. Lukens,16G. Lungu,17L. Lyons,42J. Lys,28 R. Lysak,1E. Lytken,48P. Mack,25D. MacQueen,33R. Madrak,16K. Maeshima,16T. Maki,22P. Maksimovic,24S. Malde,42
G. Manca,29F. Margaroli,5R. Marginean,16C. Marino,23A. Martin,60V. Martin,38M. Martı´nez,3T. Maruyama,55 P. Mastrandrea,51H. Matsunaga,55M. E. Mattson,58R. Mazini,33P. Mazzanti,5K. S. McFarland,49P. McIntyre,53 R. McNulty,29A. Mehta,29S. Menzemer,11A. Menzione,46P. Merkel,48C. Mesropian,50A. Messina,51M. von der Mey,8
T. Miao,16N. Miladinovic,6J. Miles,32R. Miller,35J. S. Miller,34C. Mills,10M. Milnik,25R. Miquel,28A. Mitra,1 G. Mitselmakher,17A. Miyamoto,26N. Moggi,5B. Mohr,8R. Moore,16M. Morello,46P. Movilla Fernandez,28 J. Mu¨lmensta¨dt,28A. Mukherjee,16Th. Muller,25R. Mumford,24P. Murat,16J. Nachtman,16J. Naganoma,57S. Nahn,32
I. Nakano,40A. Napier,56D. Naumov,37V. Necula,17C. Neu,45M. S. Neubauer,9J. Nielsen,28T. Nigmanov,47
L. Nodulman,2O. Norniella,3E. Nurse,30T. Ogawa,57S. H. Oh,15Y. D. Oh,27T. Okusawa,41R. Oldeman,29R. Orava,22 K. Osterberg,22C. Pagliarone,46E. Palencia,11R. Paoletti,46V. Papadimitriou,16A. A. Paramonov,13B. Parks,39
S. Pashapour,33J. Patrick,16G. Pauletta,54M. Paulini,12C. Paus,32D. E. Pellett,7A. Penzo,54T. J. Phillips,15 G. Piacentino,46J. Piedra,44L. Pinera,17K. Pitts,23C. Plager,8L. Pondrom,59X. Portell,3O. Poukhov,14N. Pounder,42
F. Prakoshyn,14A. Pronko,16J. Proudfoot,2F. Ptohos,18G. Punzi,46J. Pursley,24J. Rademacker,42A. Rahaman,47 A. Rakitin,32S. Rappoccio,21F. Ratnikov,52B. Reisert,16V. Rekovic,37N. van Remortel,22P. Renton,42M. Rescigno,51 S. Richter,25F. Rimondi,5L. Ristori,46W. J. Robertson,15A. Robson,20T. Rodrigo,11E. Rogers,23S. Rolli,56R. Roser,16
M. Rossi,54R. Rossin,17C. Rott,48A. Ruiz,11J. Russ,12V. Rusu,13H. Saarikko,22S. Sabik,33A. Safonov,53 W. K. Sakumoto,49G. Salamanna,51O. Salto´,3D. Saltzberg,8C. Sanchez,3L. Santi,54S. Sarkar,51L. Sartori,46K. Sato,55
P. Savard,33A. Savoy-Navarro,44T. Scheidle,25P. Schlabach,16E. E. Schmidt,16M. P. Schmidt,60M. Schmitt,38 T. Schwarz,34L. Scodellaro,11A. L. Scott,10A. Scribano,46F. Scuri,46A. Sedov,48S. Seidel,37Y. Seiya,41A. Semenov,14
L. Sexton-Kennedy,16I. Sfiligoi,18M. D. Shapiro,28T. Shears,29P. F. Shepard,47D. Sherman,21M. Shimojima,55 M. Shochet,13Y. Shon,59I. Shreyber,36A. Sidoti,44P. Sinervo,33A. Sisakyan,14J. Sjolin,42A. Skiba,25A. J. Slaughter,16 K. Sliwa,56J. R. Smith,7F. D. Snider,16R. Snihur,33M. Soderberg,34A. Soha,7S. Somalwar,52V. Sorin,35J. Spalding,16 M. Spezziga,16F. Spinella,46T. Spreitzer,33P. Squillacioti,46M. Stanitzki,60A. Staveris-Polykalas,46R. St. Denis,20
B. Stelzer,8O. Stelzer-Chilton,42D. Stentz,38J. Strologas,37D. Stuart,10J. S. Suh,27A. Sukhanov,17K. Sumorok,32 H. Sun,56T. Suzuki,55A. Taffard,23R. Takashima,40Y. Takeuchi,55K. Takikawa,55M. Tanaka,2R. Tanaka,40 N. Tanimoto,40M. Tecchio,34P. K. Teng,1K. Terashi,50S. Tether,32J. Thom,16A. S. Thompson,20E. Thomson,45
P. Tipton,49V. Tiwari,12S. Tkaczyk,16D. Toback,53S. Tokar,14K. Tollefson,35T. Tomura,55D. Tonelli,46 M. To¨nnesmann,35S. Torre,18D. Torretta,16S. Tourneur,44W. Trischuk,33R. Tsuchiya,57S. Tsuno,40N. Turini,46 F. Ukegawa,55T. Unverhau,20S. Uozumi,55D. Usynin,45A. Vaiciulis,49S. Vallecorsa,19A. Varganov,34E. Vataga,37
G. Velev,16G. Veramendi,23V. Veszpremi,48R. Vidal,16I. Vila,11R. Vilar,11T. Vine,30I. Vollrath,33I. Volobouev,28 G. Volpi,46F. Wu¨rthwein,9P. Wagner,53R. G. Wagner,2R. L. Wagner,16W. Wagner,25R. Wallny,8T. Walter,25Z. Wan,52
S. M. Wang,1A. Warburton,33S. Waschke,20D. Waters,30W. C. Wester III,16B. Whitehouse,56D. Whiteson,45 A. B. Wicklund,2E. Wicklund,16G. Williams,33H. H. Williams,45P. Wilson,16B. L. Winer,39P. Wittich,16S. Wolbers,16 C. Wolfe,13T. Wright,34X. Wu,19S. M. Wynne,29A. Yagil,16K. Yamamoto,41J. Yamaoka,52T. Yamashita,40C. Yang,60 U. K. Yang,13Y. C. Yang,27W. M. Yao,28G. P. Yeh,16J. Yoh,16K. Yorita,13T. Yoshida,41G. B. Yu,49I. Yu,27S. S. Yu,16
J. C. Yun,16L. Zanello,51A. Zanetti,54I. Zaw,21F. Zetti,46X. Zhang,23J. Zhou,52and 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, USA
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
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
25Institut fu¨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
31Centro de Investigaciones Energeticas Medioambientales y Tecnologicas, E-28040 Madrid, Spain
32Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
33Institute of Particle Physics: McGill University, Montre´al, Canada H3A 2T8;
and University of Toronto, Toronto, Canada M5S 1A7
34University of Michigan, Ann Arbor, Michigan 48109, USA
35Michigan State University, East Lansing, Michigan 48824, USA
36Institution for Theoretical and Experimental Physics, ITEP, Moscow 117259, Russia
37University of New Mexico, Albuquerque, New Mexico 87131, USA
38Northwestern University, Evanston, Illinois 60208, USA
39The Ohio State University, Columbus, Ohio 43210, USA
40Okayama University, Okayama 700-8530, Japan
41Osaka City University, Osaka 588, Japan
42University of Oxford, Oxford OX1 3RH, United Kingdom
43Istituto Nazionale di Fisica Nucleare, University of Padova, Sezione di Padova-Trento, I-35131 Padova, Italy
44LPNHE, Universite Pierre et Marie Curie/IN2P3-CNRS, UMR7585, Paris F-75252, France
45University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
46Istituto Nazionale di Fisica Nucleare Pisa, Universities of Pisa, Siena and Scuola Normale Superiore, I-56127 Pisa, Italy
47University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
48Purdue University, West Lafayette, Indiana 47907, USA
49University of Rochester, Rochester, New York 14627, USA
50The Rockefeller University, New York, New York 10021, USA
51Istituto Nazionale di Fisica Nucleare, Sezione di Roma 1, University of Rome ‘‘La Sapienza,’’ I-00185 Roma, Italy
52Rutgers University, Piscataway, New Jersey 08855, USA
53Texas A&M University, College Station, Texas 77843, USA
54Istituto Nazionale di Fisica Nucleare, University of Trieste/Udine, Italy
55University of Tsukuba, Tsukuba, Ibaraki 305, Japan
56Tufts University, Medford, Massachusetts 02155, USA
57Waseda University, Tokyo 169, Japan
58Wayne State University, Detroit, Michigan 48201, USA
59University of Wisconsin, Madison, Wisconsin 53706, USA
60Yale University, New Haven, Connecticut 06520, USA (Received 31 May 2006; published 25 August 2006)
We present the results of a search for standard model Higgs boson production with decay toWW, identified through the leptonic final statesee; e and. This search uses 360 pb1of data collected from pp collisions at
ps
1:96 TeV by the upgraded Collider Detector at Fermilab (CDF II). We observe no signal excess and set 95% confidence level upper limits on the production cross section times branching ratio for the Higgs boson toWWor any new scalar particle with similar decay products. These upper limits range from 5.5 to 3.2 pb for Higgs boson masses between 120 and 200 GeV=c2.
DOI:10.1103/PhysRevLett.97.081802 PACS numbers: 14.80.Bn, 13.85.Ni, 13.85.Qk, 13.85.Rm
The Higgs mechanism is a leading candidate for elec- troweak symmetry breaking and consequently for mass generation of the W and Z bosons without violation of local gauge invariance. A manifestation of this mecha- nism is the existence of a neutral scalar particle, the Higgs boson [1], which has not been observed to date.
Its mass is a free parameter in the standard model (SM),
but its couplings to other particles of known mass are fully specified at tree level. Direct searches at the CERN ee collider (LEP) yielded a lower limit for the Higgs boson mass ofmH>114:4 GeV=c2 at 95% confi- dence level (C.L.) [2]. Precision electroweak measure- ments indirectly predict a Higgs boson mass of 914532 GeV=c2 [3].
At the Tevatron, the dominant production mechanism for the SM Higgs boson is gluon-gluon fusion through heavy quark loops. Branching fractions for the various decay channels of the Higgs boson depend on its mass.
For masses below about135 GeV=c2 the dominant decay is H!bb, while heavier Higgs bosons decay predomi- nantly toWW[4], whereWindicates aWboson that can be off mass shell. For thebbdecay mode, the requirement of associated production of the Higgs boson with vector bosons (pp !WH=ZH) can greatly improve the signal purity [5]. For theWW decay mode, the leptonic decays ofW bosons give a clean enough signature that the inclu- sive single Higgs production process gives the best search sensitivity. The next-to-leading order (NLO) production cross section [4] times branching ratio for a SM Higgs boson,pp !H BRH!WW, ranges from 0.036 to 0.25 pb for Higgs masses of110–200 GeV=c2.
This Letter presents the results of a direct search for a Higgs boson in the channelgg!H!WW !‘‘ (‘e; ; ), identified by the ‘‘dilepton’’ final states ee, e, or . We also include the efficiency for leptonically decaying taus toeor . This is the first search in this channel by the CDF Collaboration. A similar search in this channel was recently performed by the D0 Collaboration [6]. The data sample used for this analysis were collected with the CDF II detector at the Fermilab Tevatron between 2002 and 2004, and corresponds to an integrated luminosity of approximately360 pb1 [7]. For this integrated luminosity, the cross-section limits we are able to place on Higgs production are a factor of approxi- mately 10 –50 larger than the SM expectation, based on the NLO calculation. However, the production cross section can be enhanced in extensions to the SM due to new particles, e.g., a fourth generation fermion family [8], contributing at higher order to the gluon-gluon fusion Higgs production process.
CDF II is a detector with approximate azimuthal and forward-backward symmetry and it is fully described else- where [9]. It consists of a charged-particle tracking system in a 1.4 T magnetic field and segmented electromagnetic and hadronic calorimeters surrounded by muon detectors.
The electromagnetic and hadronic sampling calorimeters surrounding the solenoid are used to measure the energy of interacting particles in the pseudorapidity rangejj<3:6 [10]. The calorimeters are divided into projective geometry towers. This analysis uses both central (jj<1:1) and end- plug detectors (1:2<jj<2:0) to identify electron can- didates. A set of drift chambers located outside the central hadron calorimeters and another set behind a 60 cm iron shield help detect muons in the region jj<0:6. Addi- tional drift chambers and scintillation counters detect muons in the region0:6 jj 1:0.
Events used for this analysis are collected using the following triggers [11,12]: an inclusive central electron (jj<1:1) trigger requiring an electron with ET >
18 GeV, an inclusive central muon (jj<1:0) trigger requiring a muon with pT >18 GeV=c, or a trigger for events with a forward electron (1:2 jj 2:0) with ET>20 GeV and missing transverse energy, 6ET>
15 GeV[13].
After the event reconstruction, event selection criteria which retain highH!WWsignal efficiency while min- imizing the effect of background contamination are ap- plied. Some selection requirements are mass dependent, as the event kinematics and topology change as functions ofmH.
The selection requires two oppositely charged lepton candidates originating from the same vertex, with pT>
20 GeV=cfor the trigger lepton and pT>10 GeV=cfor the second one. The leptons are also required to be isolated in both the calorimeter and the tracking chamber [14], and the dilepton invariant mass m‘‘ is required to be greater than16 GeV=c2, in order to remove events from thecc=bb resonances.
After removal of events identified as cosmic rays or electrons from photon conversions [11], we count the jets [15] with ET>15 GeV andjj<2:5. Signal events do not typically have high-ET jets in the final state, but can occasionally have lower-ET jets from initial state gluon radiation. On the other hand, tt pairs decay primarily to WWbband thus tend to have at least two jets in the final state. This background is reduced by selecting only events satisfying one of the following criteria: no jets withET>
15 GeV, or only one jet with15< ET<55 GeV, or two jets each with15< ET <40 GeV. Events with more than two jets withET>15 GeVare also rejected.
After the selection criteria described above, the domi- nant surviving background is Drell-Yan production of
‘‘ pairs, which is suppressed by requiring that 6ET>
mH=4. The events with missing energy due to a mismea- surement of the jet energy, orZ!events with missing energy arising from a leptonic tau decay, are removed by requiring the azimuthal angle between the 6ET and the closest jet or lepton to be at least 20, if 6ET<50 GeV.
To further reduce the largeZ= background, the dilepton invariant mass is required to be m‘‘<mH=2 5 GeV=c2. Finally, the scalar sum of the pT of the two leptons and the6ETis required to be below the Higgs boson mass.
The kinematic cuts described above exploit the correla- tions in the W pairs produced by the decay of a Higgs boson and suppress SM WW production. These correla- tions are due to angular momentum conservation in the decay of a spin-zero Higgs boson. Since W bosons decay into left-handed leptons and right-handed antileptons, and since theWbosons in the decayH!WWhave opposite helicities, the final state lepton pairs and also the neutrino pairs tend to be azimuthally aligned in Higgs decay. This implies that the signal events tend to have smallerm‘‘and azimuthal angle between leptons () and larger 6ET, as compared with production of SMWWpairs. These differ-
ences are further exploited in the final stages of the analy- sis, when thedistribution of the data is compared with the background and signal predictions.
The acceptance for identifying H!WW !‘‘
events with the above selection criteria is calculated as a function of the Higgs boson mass using the PYTHIA[16]
Monte Carlo program, after aGEANT-based [17] simulation of the CDF detector response. The total acceptance is a product of the geometric and kinematic acceptance, the lepton identification efficiencies, the trigger efficiencies, and the topological cut efficiencies. It does not include the branching fraction ofW leptonic decays. The total accep- tance ranges from 3.0% to 6.5%, depending on the Higgs mass, and is summarized in TableI. Approximately 25% of the expected signal areeeevents, 25%, and 50%e.
The systematic uncertainty on the acceptance is 6%
resulting from uncertainties in the modeling of the initial state radiation byPYTHIA (3%), and uncertainties on the gluon parton distribution functions (4%) [18], jet energy scale (1%), track isolation (<2%), electron and muon trigger efficiencies (<1%), and electron and muon identi- fication efficiencies (2%). In addition, a 6% uncertainty on the integrated luminosity is applied to the expected number of events for all processes [19].
After all selection requirements, the background events come predominantly from WW pair production (about 70% of the total formH 160 GeV=c2) [20],Z=,W jets, and W. Smaller backgrounds include WZ, ZZ, andttproduction. A summary of these contributions as a function of Higgs mass is given in TableII. The diboson (WW,WZ,ZZ),Z=, andttbackgrounds are determined using thePYTHIA Monte Carlo program, followed by the
CDF II detector simulation. We normalize the total number of events for these processes to recent theoretical cross sections [21,22]. To estimate the W background we use a matrix element generator [23] and usePYTHIAfor the initial state QCD radiation and hadronization.
The background from Wjets, where a jet or track is misidentified as a lepton (electron or muon), is determined from the data and called the ‘‘fake background.’’ We first determine the probability that a jet with a large fraction of its energy deposited in the electromagnetic calorimeter is
TABLE II. The expected number of signal and SM background events are presented. The number of events observed in the data, with themHdependent selection criteria, is also shown. The errors include all systematic effects.
mH(GeV=c2) 120 140 160 180 200
WW 5:490:66 7:980:96 9:791:18 9:891:19 9:191:11
Z= 1:630:42 1:010:26 0:760:20 0:830:21 0:960:25
Wjets= 4:570:90 3:490:81 2:480:69 1:700:46 1:200:37
WZZZ 0:250:03 0:370:05 0:400:05 0:490:07 1:160:15
tt 0:120:01 0:210:02 0:350:04 0:460:05 0:580:06
Total background 12:061:19 13:081:28 13:781:38 13:371:30 13:091:21
H!WW 0:0900:008 0:320:03 0:580:05 0:410:03 0:200:02
Data 7 14 16 19 17
TABLE I. The branching ratioBRH!WW and the total acceptance of the signal after all the selection criteria. The total acceptance is calculated with respect to the number ofpp! H!WW!‘‘ events.
mH (GeV=c2) 120 140 160 180 200
BRH!WW(%) 13 48 90 94 74
Total acceptance (%) 3.15 4.56 6.47 6.41 5.54
°) Dilepton Azimuthal Separation ( 0 20 40 60 80 100 120 140 160 180
°Events / 22.5
0 1 2 3 4 5 6 7 8
°) Dilepton Azimuthal Separation ( 0 20 40 60 80 100 120 140 160 180
°Events / 22.5
0 1 2 3 4 5 6 7
8 Data
→ll DY/Z
γ W+jet/
WW t WZ+ZZ+t
2)
=140 GeV/c )(mH
WW*
→ 10x(H
°) Dilepton Azimuthal Separation (
0 20 40 60 80 100 120 140 160 180
°Events / 22.5
0 1 2 3 4 5 6 7 8
°) Dilepton Azimuthal Separation (
0 20 40 60 80 100 120 140 160 180
°Events / 22.5
0 1 2 3 4 5 6 7
8 Data
→ll DY/Z
γ W+jet/
WW t WZ+ZZ+t
2)
=160 GeV/c ) (mH
WW*
→ 10x(H
FIG. 1. Dilepton azimuthal distributions for SM backgrounds, HWWsignal, and data, for two Higgs masses:140 GeV=c2(top panel) and 160 GeV=c2 (bottom panel). Note that the Higgs signal is scaled by a factor of 10 and is not included in the cumulative background distributions.
misidentified as an electron, and the probability that a minimum ionizing track is misidentified as a muon.
These probabilities are termed fake rates. The fake rate for each lepton type is calculated using an average of four inclusive jet samples (triggered with at least one jet with ET>20, 50, 70, or 100 GeV). We subtract the contribution from sources of real leptons (W and Z decays) and pa- rametrize the fake rates as a function of jet transverse energy (for electrons) or track transverse momentum (for muons). The background is determined by weighting the jets from a data sample ofW !‘ jets events by the fake rates.
For data events passing the previously described selec- tion criteria, we search for an excess of events in the azimuthal angle distribution between the leptons,. A binned likelihood is used to compare the azimuthal angle distribution in the data with a combination of expected distributions from the SM background processes. Figure1 shows thedistributions for SM backgrounds, for Higgs masses of 140 and 160 GeV=c2, and for the data. We observe no evidence for a signal over the SM expectations.
We calculate upper limits on the production cross section times branching ratio, H BRH!WW, using a Bayesian procedure. We consider three components in the data: H!WW, SM WW, and other SM processes (WZ,ZZ, Drell-Yan,Wjets=) labeled as ‘‘other.’’ The expected number of events in eachbin is
fWWnWW fothernother
fHWWLHBRH!WW;
wherefWW,fother, andfHWW represent the expected frac- tion of the specified categories of events falling in each bin,nWW andnotherare the expected numbers ofWW and non-WWbackground events, and,L, andHcorrespond to efficiency, integrated luminosity, andHproduction cross section. A posterior density is obtained by multiplying the Poisson likelihood function with Gaussian prior densities for the integrated luminosity, background normalizations, and the signal efficiency:
LNYbins
i1
niiei
ni! GnWW; WWGnother; other G; GL; L;
whereniis the number of events observed in the data, and Gn; n are Gaussian constraints for parameter n with
uncertainty n. The prior density for BRH! WW is assumed uniform. The posterior density is then integrated over all parameters except for BRH! WW, for which a 95% C.L. upper limit is obtained by calculating the 95th percentile of the resulting distribution.
The expected and observed upper limits on the cross section times branching ratio, BRH!WW, for different Higgs masses are shown in Table III. The ex- pected limits are calculated using 1000 simulated experi- ments, assuming no signal, for each Higgs mass. The median value of the limits obtained from these experiments is chosen as thea prioriupper limit.
In conclusion, observing no signal in the direct search forH!WW, with the subsequent decay of theWbosons to leptons, we have set mass dependent limits at 95% C.L.
on pp !H BRH!WW. This search is poten- tially sensitive to other new physics models such as the example in Fig.2.
We thank the Fermilab staff and the technical staffs of the participating 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 Founda- tion; the A. P. Sloan Foundation; the Bundesministerium fu¨r Bildung und Forschung, Germany; the Korean Science and Engineering Foundation and the Korean Research Foundation; the Particle Physics and Astronomy Research Council and the Royal Society, U.K.; 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 TABLE III. The expected and observed 95% C.L. limits on
pp!H BRH!WW.
mH(GeV=c2) 120 140 160 180 200
Expected limits (pb) 7.1 4.8 3.5 3.4 4.0 Observed limits (pb) 4.5 4.6 3.2 4.3 5.2
110 120 130 140 150 160 170 180 190 200 10-1
1 10 102
2) Higgs Mass (GeV/c 110 120 130 140 150 160 170 180 190 200
) (pb)* WW→ x BR(HHσ95% C.L. -110
1 10 102
Standard Model 4th Generation Model
Expected Limit 95% C.L. Limit
Excluded LEP
FIG. 2 (color online). Summary of the run II CDF 95% C.L.
upper limits onpp!H BRH!WW. Shown for com- parison are the standard model prediction, the fourth generation model prediction [8], and the region excluded by the LEP experiments. The prediction for the fourth generation model assumes that fourth family fermions have a mass m4 200 GeV=c2.
Programme under Contract No. HPRN-CT-2002-00292;
and the Academy of Finland.
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