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HAL Id: in2p3-00011708

http://hal.in2p3.fr/in2p3-00011708

Submitted on 1 Jul 2002

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.

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Search for γγ η_b in e

+

e

collisions at LEP2

A. Heister, S. Schael, R. Barate, R. Bruneliere, I. de Bonis, D. Decamp, C.

Goy, S. Jezequel, J P. Lees, F. Martin, et al.

To cite this version:

A. Heister, S. Schael, R. Barate, R. Bruneliere, I. de Bonis, et al.. Search for γγ η_b in e+e collisions at LEP2. Physics Letters B, Elsevier, 2002, 530, pp.56-66. �in2p3-00011708�

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CERN-EP/2002-009

February 1,2002

Search for !

b

in e

+

e collisions at LEP 2

The ALEPH Collaboration )

Abstract

A search forthepseudoscalar meson

b

is performedin two-photoninteractions at

LEP2 withan integrated luminosity of 699pb 1

collected at e +

e centre-of-mass

energiesfrom181GeVto209GeV. Onecandidateeventisfoundinthesix-charged-

particle nal state and none in the four-charged-particle nal state, in agreement

withthetotal expected background ofaboutone event. Upperlimitsof

(

b

)BR(

b

!4 charged particles) < 48eV

(

b

)BR(

b

!6 charged particles) < 132eV

areobtainedat95%condencelevel,whichcorrespondto upperlimitsof 9:0%and

25%on these branchingratios.

Submitted to Physics Letters B

)See next pages for the listof authors

(3)

A.Heister,S.Schael

PhysikalischesInstitutdasRWTH-Aachen, D-52056Aachen,Germany

R.Barate,R. Bruneliere,I.DeBonis,D. Decamp,C.Goy,S.Jezequel,J.-P.Lees,F.Martin,E.Merle,

M.-N.Minard,B.Pietrzyk,B.Trocme

Laboratoire de Physique des Particules (LAPP), IN 2

P 3

-CNRS, F-74019 Annecy-le-Vieux Cedex,

France

G.Boix, 25

S. Bravo,M.P. Casado,M. Chmeissani,J.M.Crespo,E. Fernandez, M.Fernandez-Bosman,

Ll. Garrido, 15

E. Grauges, J. Lopez, M. Martinez, G. Merino, R. Miquel, 4

Ll.M. Mir, 4

A. Pacheco,

D. Paneque,H.Ruiz

Institut de F

isica d'Altes Energies, Universitat Autonoma de Barcelona, E-08193 Bellaterra

(Barcelona),Spain 7

A.Colaleo,D.Creanza,N.DeFilippis,M.dePalma,G.Iaselli,G.Maggi,M.Maggi,S.Nuzzo,A.Ranieri,

G.Raso, 24

F.Ruggieri,G.Selvaggi,L.Silvestris,P.Tempesta,A.Tricomi, 3

G.Zito

DipartimentodiFisica,INFNSezionediBari,I-70126Bari,Italy

X.Huang,J.Lin,Q.Ouyang,T.Wang,Y.Xie,R. Xu,S. Xue,J.Zhang,L.Zhang,W.Zhao

InstituteofHighEnergyPhysics,AcademiaSinica,Beijing,ThePeople'sRepublicof China 8

D. Abbaneo, P. Azzurri, T. Barklow, 30

O. Buchmuller, 30

M. Cattaneo, F. Cerutti, B. Clerbaux,

H. Drevermann, R.W. Forty, M. Frank, F. Gianotti, T.C. Greening, 26

J.B. Hansen, J. Harvey,

D.E. Hutchcroft, P. Janot, B. Jost, M. Kado, 4

P. Mato, A. Moutoussi, F. Ranjard, L. Rolandi,

D. Schlatter,G.Sguazzoni,W. Tejessy,F.Teubert, A.Valassi,I.Videau,J.J.Ward

EuropeanLaboratoryforParticlePhysics(CERN),CH-1211Geneva23,Switzerland

F. Badaud,S. Dessagne, A. Falvard, 20

D. Fayolle,P. Gay, J.Jousset, B.Michel, S. Monteil, D. Pallin,

J.M.Pascolo,P.Perret

Laboratoire de Physique Corpusculaire, Universite Blaise Pascal, IN 2

P 3

-CNRS, Clermont-Ferrand,

F-63177Aubiere,France

J.D.Hansen,J.R.Hansen,P.H. Hansen,B.S.Nilsson

NielsBohrInstitute,2100Copenhagen,DK-Denmark 9

A.Kyriakis,C.Markou,E.Simopoulou,A.Vayaki,K.Zachariadou

NuclearResearchCenterDemokritos(NRCD),GR-15310Attiki,Greece

A. Blondel, 12

J.-C.Brient, F. Machefert, A. Rouge, M. Swynghedauw, R. Tanaka

H.Videau

Laboratoire de Physique Nucleaire et des Hautes Energies, Ecole Polytechnique, IN 2

P 3

-CNRS,

F-91128PalaiseauCedex,France

V.Ciulli,E.Focardi,G.Parrini

DipartimentodiFisica,UniversitadiFirenze,INFN SezionediFirenze,I-50125Firenze,Italy

A. Antonelli, M. Antonelli, G.Bencivenni,F. Bossi,P. Campana,G. Capon, V. Chiarella,P. Laurelli,

G.Mannocchi, 5

F.Murtas,G.P.Murtas,L.Passalacqua

LaboratoriNazionalidell'INFN(LNF-INFN), I-00044Frascati,Italy

A.Halley,J.Kennedy,J.G.Lynch,P.Negus,V.O'Shea,A.S.Thompson

(4)

DepartmentofPhysicsandAstronomy,UniversityofGlasgow,GlasgowG128QQ,UnitedKingdom

S.Wasserbaech

DepartmentofPhysics,HaverfordCollege,Haverford,PA19041-1392,U.S.A.

R.Cavanaugh,S.Dhamotharan,C.Geweniger,P.Hanke,V.Hepp,E.E.Kluge,G.Leibenguth,A.Putzer,

H.Stenzel,K.Tittel,S. Werner, 19

M.Wunsch 19

Kirchho-InstitutfurPhysik,UniversitatHeidelberg,D-69120Heidelberg,Germany 16

R.Beuselinck,D.M.Binnie,W. Cameron,G.Davies,P.J.Dornan,M. Girone, 1

R.D.Hill,N. Marinelli,

J.Nowell,H. Przysiezniak, 2

S.A.Rutherford, J.K.Sedgbeer,J.C.Thompson, 14

R.White

DepartmentofPhysics,ImperialCollege,LondonSW72BZ,United Kingdom 10

V.M.Ghete,P. Girtler,E.Kneringer,D. Kuhn,G.Rudolph

InstitutfurExperimentalphysik,UniversitatInnsbruck,A-6020Innsbruck,Austria 18

E. Bouhova-Thacker, C.K. Bowdery, D.P. Clarke, G. Ellis, A.J. Finch, F. Foster, G. Hughes,

R.W.L.Jones,M.R.Pearson,N.A.Robertson,M.Smizanska

DepartmentofPhysics,Universityof Lancaster,LancasterLA14YB, UnitedKingdom 10

O.vanderAa,C.Delaere,V.Lemaitre

Institut de Physique Nucleaire, Departement de Physique, Universite Catholique de Louvain, 1348

Louvain-la-Neuve,Belgium

U.Blumenschein,F.Holldorfer,K.Jakobs,F.Kayser,K.Kleinknecht,A.-S.Muller,G.Quast, 6

B.Renk,

H.-G.Sander,S. Schmeling,H.Wachsmuth, C.Zeitnitz,T.Ziegler

InstitutfurPhysik,UniversitatMainz,D-55099Mainz,Germany 16

A.Bonissent,P.Coyle,C.Curtil,A.Ealet,D.Fouchez,P. Payre,A.Tilquin

CentredePhysiquedesParticulesdeMarseille,UnivMediterranee,IN 2

P 3

-CNRS,F-13288Marseille,

France

F.Ragusa

DipartimentodiFisica,UniversitadiMilanoeINFNSezione diMilano,I-20133Milano,Italy.

A.David,H.Dietl,G.Ganis, 27

K.Huttmann,G.Lutjens,W.Manner,H.-G.Moser,R.Settles,G.Wolf

Max-Planck-InstitutfurPhysik,Werner-Heisenberg-Institut,D-80805Munchen, Germany 16

J. Boucrot, O. Callot, M. Davier, L. Duot, J.-F.Grivaz, Ph. Heusse, A. Jacholkowska, 32

C. Loomis,

L. Serin,J.-J.Veillet,J.-B.deViviedeRegie, 28

C.Yuan

Laboratoiredel'AccelerateurLineaire,UniversitedeParis-Sud,IN 2

P 3

-CNRS,F-91898OrsayCedex,

France

G. Bagliesi, T. Boccali, L. Foa, A. Giammanco, A. Giassi, F. Ligabue, A. Messineo, F. Palla,

G.Sanguinetti,A.Sciaba,R.Tenchini, 1

A. Venturi, 1

P.G.Verdini

Dipartimento di Fisicadell'Universita,INFN Sezione diPisa, e ScuolaNormaleSuperiore, I-56010

Pisa,Italy

O. Awunor, G.A. Blair, J. Coles, G. Cowan, A. Garcia-Bellido,M.G. Green, L.T. Jones, T. Medcalf,

A.Misiejuk,J.A.Strong,P.Teixeira-Dias

DepartmentofPhysics,RoyalHolloway&BedfordNewCollege,UniversityofLondon,Egham,Surrey

TW20OEX,UnitedKingdom 10

R.W.Clit,T.R. Edgecock,P.R.Norton,I.R.Tomalin

ParticlePhysicsDept.,RutherfordAppletonLaboratory,Chilton,Didcot,OxonOX11OQX,United

Kingdom 10

B.Bloch-Devaux, D. Boumediene, P. Colas, B.Fabbro,E. Lancon,M.-C.Lemaire, E. Locci, P. Perez,

J.Rander,J.-F.Renardy,A.Rosowsky,P.Seager, 13

A.Trabelsi, 21

B.Tuchming,B.Vallage

CEA, DAPNIA/Service de Physique des Particules, CE-Saclay, F-91191 Gif-sur-Yvette Cedex,

17

(5)

InstituteforParticlePhysics,UniversityofCaliforniaatSantaCruz,SantaCruz,CA95064,USA 22

C.N.Booth,S. Cartwright,F.Combley, 31

P.N. Hodgson,M.Lehto,L.F. Thompson

DepartmentofPhysics,Universityof SheÆeld,SheÆeldS37RH,UnitedKingdom 10

K.Aholderbach, 23

A.Bohrer,S.Brandt,C.Grupen,J.Hess,A.Ngac,G.Prange,U.Sieler

FachbereichPhysik,UniversitatSiegen,D-57068Siegen,Germany 16

C.Borean,G.Giannini

DipartimentodiFisica,UniversitadiTriesteeINFN SezionediTrieste,I-34127Trieste,Italy

H.He,J.Putz,J.Rothberg

ExperimentalElementaryParticlePhysics,Universityof Washington,Seattle,WA 98195U.S.A.

S.R. Armstrong, K. Berkelman, K. Cranmer, D.P.S. Ferguson, Y. Gao, 29

S. Gonzalez, O.J. Hayes,

H. Hu, S. Jin, J. Kile, P.A. McNamara III, J. Nielsen, Y.B. Pan, J.H. vonWimmersperg-Toeller,

W.Wiedenmann, J.Wu, SauLanWu, X.Wu, G.Zobernig

DepartmentofPhysics,Universityof Wisconsin,Madison,WI53706,USA 11

G.Dissertori

InstituteforParticlePhysics,ETHHonggerberg,8093Zurich,Switzerland.

1

AlsoatCERN,1211Geneva23,Switzerland.

2

NowatLAPP,74019Annecy-le-Vieux,France

3

AlsoatDipartimentodiFisicadiCataniaandINFNSezionediCatania,95129Catania,Italy.

4

NowatLBNL,Berkeley,CA94720,U.S.A.

5

AlsoIstitutodiCosmo-GeosicadelC.N.R., Torino,Italy.

6

NowatInstitutfurExperimentelleKernphysik,UniversitatKarlsruhe,76128Karlsruhe,Germany.

7

Supported byCICYT,Spain.

8

Supported bytheNationalScienceFoundationof China.

9

Supported bytheDanishNaturalScienceResearchCouncil.

10

Supported bytheUKParticlePhysicsandAstronomyResearchCouncil.

11

Supported bytheUS DepartmentofEnergy,grantDE-FG0295-ER40896.

12

NowatDepartementdePhysiqueCorpusculaire,UniversitedeGeneve,1211Geneve4,Switzerland.

13

Supported bytheCommissionoftheEuropeanCommunities,contractERBFMBICT982874.

14

AlsoatRutherfordAppletonLaboratory,Chilton, Didcot,UK.

15

Permanentaddress: UniversitatdeBarcelona,08208Barcelona,Spain.

16

Supported by the Bundesministerium fur Bildung, Wissenschaft, Forschung und Technologie,

Germany.

17

Supported bytheDirectiondesSciences delaMatiere,C.E.A.

18

Supported bytheAustrianMinistryforScienceandTransport.

19

NowatSAPAG,69185Walldorf,Germany

20

Now atGrouped' Astroparticulesde Montpellier, UniversitedeMontpellierII,34095Montpellier,

France.

21

NowatDepartementdePhysique,FacultedesSciencesdeTunis,1060LeBelvedere,Tunisia.

22

Supported bytheUS DepartmentofEnergy,grantDE-FG03-92ER40689.

23

NowatSkyguide,SwissairNavigationServices,Geneva,Switzerland.

24

AlsoatDipartimentodiFisicaeTecnologieRelative,UniversitadiPalermo,Palermo,Italy.

25

NowatMcKinseyandCompagny,AvenueLouisCasal18,1203Geneva,Switzerland.

26

NowatHoneywell,PhoenixAZ, U.S.A.

27

Now atINFN SezionediRomaII,DipartimentodiFisica,UniversitadiRomaTorVergata, 00133

Roma,Italy.

28

NowatCentredePhysiquedesParticulesdeMarseille,UnivMediterranee,F-13288Marseille,France.

29

AlsoatDepartmentofPhysics,TsinghuaUniversity,Beijing,ThePeople'sRepublicofChina.

30

NowatSLAC,Stanford,CA94309,U.S.A.

31

Deceased.

32

Alsoat Groupe d' AstroparticulesdeMontpellier, Universitede MontpellierII,34095Montpellier,

(6)

The b

b ground state, the

b

meson, has not yet been observed. Because of their initial

state,two-photoncollisionsarewellsuitedforthestudyofpseudoscalarmesons,forwhich

J PC

=0 +

. The high cross section and the high LEP luminosity and energy, as well

as the low background from other processes, make LEP 2 a good environment to search

for this meson.

Theoretical estimates (frompertubativeQCD and latticenonrelativisticQCD)of the

mass dierence, m, between the

b

and the (m

= 9:46GeV/c 2

) are summarized in

Table1andthoseofthepartialdecaywidthofthe

b

intotwophotons,

(

b

),inTable2.

For the former, values ranging from m =34MeV =c 2

to 141MeV =c 2

are obtained. For

the latter, a value of

(

b

) = 55785eV, chosen in this letter, is obtained from the

average of the rst order estimates (488eV) shifted by 69eV at the second order in

s .

It yields an exclusive

b

production cross section of 0:3040:046pb in e +

e collisions

at p

s =197GeV. The branching ratios of the

b

intofour and six charged particles are

estimated asinRef.[1]tobe2.7% and 3.3%respectively. (Thesame estimategives9.9%

for the

c

decay branching fraction into four charged particles, in agreement with the

measured valueof 9:31:8% [2].) Sixandseven exclusive

b

are thereforeexpected tobe

produced in the 699pb 1

of data collected by ALEPH above the WW threshold, in the

four-and six-charged-particle nal states, respectively.

A measurement of the

b

mass and of its decay modes would therefore providea test

of pQCDandNRQCD[3,4,5]. Searches have alreadybeenconducted by the CUSBand

CLEO Collaborations in the cascade decay of the (3S): the CUSB Collaboration nds

for the product of the branching ratios BR((3S) ! h

b

)BR(h

b

!

b

) < 0:45%

at 90% C.L. for an -

b

splitting between 50MeV =c 2

and 110MeV =c 2

[6]. The CLEO

Collaboration has published a 90% C.L. upper limit on the product of the branching

ratios BR((3S)! +

h

b

)BR(h

b

!

b

) of about 0.1% for the

b

mass range from

9:32GeV=c 2

to9:46GeV=c 2

with aphotonenergyrangingfrom434MeVto466MeVand

the h

b

mass restricted to9:9000:003GeV=c 2

[7].

In this letter, a search is presented for the

b

meson via its decay into four and six

charged particles. The search is performed in quasi-real two-photon interactions where

themesonisproducedexclusively. Thisletterisorganizedasfollows. Adescriptionofthe

ALEPH detector is given in Section2. The data analysis with event selection, eÆciency

calculation, background estimate and systematic uncertainty determination is described

in Section3. The results of the search are presented inSection 4. Finally, inSection 5 a

summary isgiven.

2 ALEPH Detector

A detailed description of the ALEPH detector and its performance can be found in

Ref. [19]. The central part of the ALEPH detector is dedicated to the reconstruction

of the trajectories of charged particles. The trajectory of a charged particle emerging

from the interaction point is measured by a two-layer silicon strip vertex detector

1

(7)

b

m[MeV=c 2

] Ref.

latticeNRQCD 45 100 [3,8, 9]

latticepotential 60 110 [10]

pQCD 36 55 [11]

1=mexpansion 34 114 [12]

potentialmodel 60 141 [13, 14,15]

Table 2: Estimates forthetwo-photon width

(

b ).

(

b

) [eV] Ref.

estimates O(

s )

potential model 500 30 [16]

potential model,

e +

e

() 490 40 [16]

NRQCD 460 [17]

NRQCD,

e +

e

() 501 [18]

estimates O(

2

s )

NRQCD,

e +

e

() 570 50 [18]

used inthis letter 557 85

(VDET), a cylindricaldrift chamber (ITC) and a large time projection chamber(TPC).

The three tracking detectors are immersed in a 1:5T axial magnetic eld provided by

a superconducting solenoidal coil. Together they measure charged particle transverse

momenta with a resolution of Æp

t

=p

t

=610 4

p

t

0:005 (p

t

in GeV/c). The TPC also

providesameasurementofthespecicionizationdE=dx

meas

. Anestimatormaybeformed

totestaparticlehypothesis,

h

=(dE=dx

meas

dE=dx

exp;h )=

exp;h

,wheredE=dx

exp;h and

exp;h

denotetheexpectedspecicionizationandtheestimateduncertaintyfortheparticle

hypothesis h,respectively.

Photons are identied in the electromagnetic calorimeter (ECAL), situated between

the TPC and the coil. The ECAL is a lead/proportional-tube sampling calorimeter

segmentedin0:9 Æ

0:9 Æ

projectivetowersreadoutinthreesectionsindepth. Ithasatotal

thicknessof22radiationlengthsandyieldsarelativeenergyresolutionof0:18=

p

E+0:009,

with E in GeV, for isolated photons. Electrons are identied by their transverse and

longitudinal shower proles inECAL and their specic ionizationin the TPC.

The iron return yoke is instrumented with 23 layers of streamer tubes and forms the

hadron calorimeter (HCAL). The latter provides a relative energy resolution of charged

and neutralhadrons of 0:85=

p

E,with E inGeV. Muons are distinguishedfrom hadrons

by their characteristic pattern in HCAL and by the muon chambers, composed of two

double-layers of streamer tubes outsideHCAL.

The informationfromthe tracking detectors and the calorimetersare combined inan

energy-ow algorithm [19]. For each event, the algorithmprovides a set of charged and

neutralreconstructed particles, called energy-ow objects inthe following.

2

(8)

3.1 Event Selection

The search is performed in the four-and six-charged-particle modes, where four (or six)

charged energy-ow objects with a net charge zero are required. In order to keep the

eÆciency high, loose selection cuts are chosen. No attempt is made to reconstruct K

S

mesons atthis stage. The dE=dx measurement,when available,must beconsistent with

the pion or kaon hypothesis ( 2

;K

< 9); the more likely hypothesis is used for mass

assignment. When no dE=dx information is available the pion mass is assigned to the

particle. Noneutralenergy-owobjectwithE >1GeVmust bepresentwithin20 Æ

ofthe

beamaxis. Nomuonandnoelectron (asdened bytheECAL) mustbeobserved. Events

are also excludedif aphoton conversion is detected, where the electron and positron are

identied by requiring 2

e

<9, and the pair invariantmass is smallerthan 25MeV =c 2

.

The total transverse momentum of charged particles in the event ( P

~ p

t;i

) must be

smaller than 250MeV =c. The energy-ow objects in the event are boosted into their

centre-of-mass frame and the thrust is computed in this frame. The thrust axis must

form anangle

thrust

larger than 45 Æ

with respect tothe beam axis to reject events from

the continuum background. The ! +

background is reduced to a negligible

fraction by the rejection of events in which both hemispheres, as dened by the thrust

axis, have a net charge of 1 and aninvariant mass less than 1:8GeV =c 2

.

3.2 Signal EÆciency

Selection and reconstruction eÆciencies are studiedwith events generated withPHOT02

[20]inwhichthe

b

massisset to9:4GeV=c 2

andthetotalwidthto7MeV=c 2

. Thewidth

iscalculatedundertheassumptionthat thetwo-gluondecayisdominant[2,21,22]. Four

samples of 2500 events each are generated for the nal state with four charged particles

(2(

+

), +

K

+

K , 2(K +

K ), K

S K

+

). Four other samples of 2500 events each

are generated for the nal state with six charged particles (3(

+

), 2(

+

)K

+

K ,

+

2(K +

K ),3(K +

K )). Forthedecays,itisassumedthatthemomentaaredistributed

according tophase space. The event samples are passed through the detector simulation

and reconstruction programs. The mass resolution of the selected events is about

0:14GeV=c 2

and is dominated by wrong mass assignmentfrom -Kmisidentication. A

signalregionbetween9:0GeV =c 2

and9:8GeV=c 2

ischosen. TheeventselectioneÆciencies

averaged over the four decay channels are found to be 16.7%and 9.3% for the four- and

six-charged-track channels, respectively.

3.3 Systematic Uncertainties

Thelack ofknowledgeofthedecay modesandkinematicsofthe

b

mesonisthesourceof

the dominant systematic uncertainties in the analysis. The uncertainty on the selection

eÆciency due to the unknown decay mode of the

b

meson is estimated from the spread

of the eÆciencies of the four simulated decay modes. The relative uncertainty is 7.5%

3

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