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RECENT RESULTS FROM THE KLOEEXPERIMENT
TheKLOE Collaboration∗
Presentedby StefanoMiscetti †
LaboratoriNazionalidi Frascati,INFN
00044,Frascati(RM) - ITALY
ABSTRACT
The Frascatie+e− collider, DAΦNE, operatesat a centerof massenergyaroundthemassof theφ-meson(
√s ∼ 1020 MeV) since1999.TheKLOE
experiment,designedto measureCPandCPTviolation parametersin theKSKL system,runsin oneof thetwo DAΦNE interactionregionsandhascollectedso far ∼ 500 pb−1. After a brief descriptionof the acceleratorcomplex andthedetector, we presentthephysicsmeasurementsobtainedusingthe year2000datasample(∼ 17 pb−1). Thesefirst measurementsarestatisticallylimited andarethereforefocussedonφ radiativedecaysandKS physics.We alsohighlight themeasurementsin progresson theentiredatasample.
∗TheKLOE collaboration:A. Aloisio, F.Ambrosino,A. Antonelli,M. Antonelli,C.Bacci,G.Bencivenni,
S. Bertolucci,C. Bini, C. Bloise,V. Bocci, F. Bossi,P. Branchini,S.A. Bulychjov, R. Caloi, P. Cam-
pana,G. Capon,G. Carboni,M. Casarsa,V. Casavola, G. Cataldi,F. Ceradini,F. Cervelli, F. Cevenini,
G.Chiefari,P. Ciambrone,S.Conetti,E.DeLucia,P. DeSimone,G.DeZorzi,S.Dell’Agnello,A. Denig,
A. Di Domenico,C. Di Donato,S.Di Falco,B. Di Micco,A. Doria,M. Dreucci,O. Erriquez,A. Farilla,
G.Felici,A. Ferrari,M. L. Ferrer, G.Finocchiaro,C.Forti,A. Franceschi,P. Franzini,C.Gatti,P. Gauzzi,
S.Giovannella,E. Gorini, E. Graziani,S.W. Han,M. Incagli,W. Kluge,V. Kulikov, F. Lacava,G. Lan-
franchi,J. Lee-Franzini,D. Leone,F. Lu, M. Martemianov, M. Matsyuk,W. Mei, L. Merola,R. Messi,
S. Miscetti, M. Moulson,S. Muller, F. Murtas,M. Napolitano,A. Nedosekin,F. Nguyen,M. Palutan,
E.Pasqualucci,L. Passalacqua,A. Passeri,V. Patera,E.Petrolo,L. Pontecorvo,M. Primavera,F. Ruggieri,
P. Santangelo,E. Santovetti, G. Saracino,R. D. Schamberger, B. Sciascia,A. Sciubba,F. Scuri, I. Sfil-
igoi, A. Sibidanov, T. Spadaro,E. Spiriti, G. L. Tong,L. Tortora,P. Valente,B. Valeriani,G.Venanzoni,
S.Veneziano,A. Ventura,S.Ventura,R.Versaci,G.W.Yu.† c© 2002by StefanoMiscetti,e-mail: [email protected]
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1 The Frascati φ–factory complex
DAΦNE1 is ane+e− collider operatingat a centerof massenergy of ∼ 1020 MeV, the
massof theφ-meson.At thedesignpeakluminosityof 5 × 1032 cm−2s−1, themachine
will produce∼ 1.5 kHz of φ’s. Theacceleratorcomplex consistsof aninjectionsystem
and a collider, composedby two main rings, in which electronand positronbeams
circulateseparately. Two interactionregions(IR) housethe experiments:KLOE2 on
oneside,DEAR(FINUDA)3,4 ontheoppositeone.Themainphysicsinterest,motivating
theconstructionof sucha complex, is themeasurementof theCP-violationparameter
ε′/ε using the KLOE detector. The two other experimentsare designedto operate
sequentiallyto performhigh-precisionmeasurementsin nuclearandatomicphysics.
Theinjectionsystemis basedona60m longLinac,whichcanaccelerateelectrons
(positrons)up to energy of 800 (550) MeV. An intermediate33 m long accumulator
ring is usedto dampthetransverseandlongitudinalemittancesof theLinacbeam,thus
relaxingtheinjectionrequirementsin thecollider. Thestrategy usedto achieve a high
luminosity consistsin accumulatinghigh-currentelectronandpositronbeams(5 A at
maximum)of 120buncheseach.Tworingsareneededin ordertominimizeperturbations
dueto beam-beamelectromagneticinteractions.The beamsintersectat the two IR’s
with a horizontalcrossingangleof ∼ 25 mrad. Theφ’s producedat resonanceenergy
havesmallmomentum(Pφ ∼ 13 MeV/c) in thelaboratoryframe.
At present,DAΦNE’speakluminosityis 7.8× 1031 cm−2s−1, still a factor7 smaller
thanthedesignvalue.This is obtainedwith ∼ 800 mA circulatingbeamcurrents.The
luminosity deliveredto KLOE is on average2.5 pb−1 per day (4 pb−1 at maximum).
This is achieved sinceKLOE is able to operatein the ”top-up” injection mode, i.e.
injectingelectronsandpositronswith colliding beamseveryfifteenminutes.Thismode
of operationis well suitedfor DAΦNE, becauseof its shortbeamlifetimes,which are
reflectedin asteepdrop-off of theluminositywith time.
KLOE hadthreedifferentdata-takingperiods: thefirst wasin 1999,mostlyspent
in machineanddetectorcommissioning.In year2000themachinedeliveredto KLOE
a total of 23 pb−1, which yielded the first relevant physics results. In year 2001 a
total integratedluminosity of 180 pb−1 hasbeencollected. In year2002datataking
hasresumedin May, with slighty higherluminosity, but with muchimprovedmachine
backgroundconditions,which is anotherkey issuefor many physicsmeasurements.
The2002runendedin September, addinganother300pb−1 on tape.
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φ decaychannel BR
K+K− 0.492 ± 0.007
KSKL 0.337 ± 0.006
π+π−π0+ ρπ 0.155 ± 0.006
ηγ 0.0013 ± 0.0003
Table1. Main decaychannelsof theφ mesonandtheir branchingratio (BR).5
2 The KLOE experiment
Themaindecaychannelsof theφ mesonarelistedin Tab. 1. Theacceleratorcomplex
DAΦNE is thereforenot only a factoryof KSKL but alsoa factoryof K+K−, ρ andη
mesons.In thecaseof thekaons,pure∗ monochromatic,low momentumKK beams
(PK ∼ 110, 126 MeV for theneutralandchargedpairsrespectively) areproduced.This
providesanefficient taggingin bothcases.Thelow speedof thekaonsis alsoa strong
motivationfor relyingon timeof flight in many stepsof theeventreconstruction.
2.1 The physicsprogram
The KLOE scientificprogram2 is focussedon the studyof CP andCPT symmetries
with neutralkaons.Thedesignof theexperimentwasdrivenby themeasurementof the
directCPviolationvia the,by now classical,“doubleratiomethod”:
Rd =∣
∣
∣
∣
η±
η00
∣
∣
∣
∣
2
=N(KL → π+π−)
N(KS → π+π−)× N(KS → π0π0)
N(KL → π0π0)= 1 + 6 <(ε′/ε). (1)
Altough thefix targetexperiments(NA48, KTeV) havealreadyprovedtheexistenceof
directCPviolationin thekaonsystembyestablishingthat<(ε′/ε) isconsistentlydifferent
from zero,† anew measurementfrom KLOE couldallow usto reachasimilarsensitivity
with acompletelydifferentsystematics.But, to reachanaccuracy of theorderof 10−4,
anintegratedluminosityin therangeof severalfb−1’s is needed.However, if andwhen
thisstatisticswill becollected,sincetheKK pairsareproducedin apurequantumstate
(JPC = 1−−, thesameof theφ meson)otherinterestingCP, CPTparametersbecome
∗In thecaseof theneutralkaons,from unitarity andfrom σ(γγ → K0K0, JP = 0+), theratio of the
processes(e+e− → KSKS + KLKL)/(e+e− → KSKL) is few ×10−10.†The most recentmeasurementsreport: (20.7 ± 2.8) × 10−4 (KTeV), (14.7 ± 2.2) × 10−4 (NA48),
(16.7 ± 2.3) × 10−4 (world average).
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accessibleto KLOE by looking at thequantum-mechanicalinterferencepatternsin the
timeevolutionof theKSKL system.6
At present,althoughtheCP, CPTmeasurementsareoutof reach,many otherphysics
topicscanbestudiedwith thecollectedstatistics.Analysesontheyear2000datasethave
producednew resultson theφ radiativedecaysinto scalar(f0, a0) andpseudoscalar(η,
η′) mesons,on theKS semileptonicdecay, andon theratio of KS decaysinto charged
andneutralpion pairs. Using the whole dataset (500 pb−1), the goal is to improve
theaccuracy on theCabibboangle(Vus) throughprecisemeasurements(0.2%)of both
KL andchargedkaonsemileptonicdecays;a betterthan1% measurementof thee+e−
hadroniccrosssectionbelow 1 GeV, and several measurementsof rareKS andKL
decays.
2.2 The detector
At DAΦNE’s energiestheKS (KL) have a meandecaypathof 0.6 (340) cm respec-
tively, thusdriving theexperiment’s dimension.Indeed,theKLOE detector7 hasbeen
designedto maximizethe numberof reconstructedKL decays. It consistsof a large
trackingchamber, a hermeticelectromagneticcalorimeteranda superconductingmag-
netproviding a solenoidalfield of ∼0.52T. Thebeampipein theinteractionregion is
sphericalin shape,10cmin radiusin orderto containall KS decays,andis madeof an
Aluminum-Berylliumalloy.
The large, 2 m radiusand 3.7 m long, tracking volume is instrumentedwith a
drift chamber8 operatingwith a low-Z, 90%He-10%iC4H10 gasmixture,enclosedby
Carbon-fiber/Epoxywalls. Thelight A, Z materialshave beenchosento optimizethe
chamberresolution,andto reduceboththephotonconversions(0.01X0) andKL→KS
regeneration.The58concentriclayersof wires(52140wires,12582readoutchannels)
arestrungin anall-stereogeometry. Themomentumresolutionis σ(p⊥)/p⊥ ' 0.4%,
from asinglemeasurementof spatialresolutionof σrφ ∼ 150µm (σz ∼2 mm).
Theelectromagneticcalorimeter9 is a samplingcalorimetermadeof leadandscin-
tillating fiber layers,15X0 thick. Thesolid anglecoverage(98%)is ensuredby barrel
modulessurroundingthedrift chamberandby modulesof two endcaps,whicharebent
outwardsto eliminatedeadzonesin theoverlapregionbetweenbarrelandendcap.The
calorimetermodulesarereadoutatthetwoendsbyatotalof 4880photomultipliers.The
calorimeterhasbeendesignedto measuretimeandenergy for photonsof energy aslow
as20 MeV, with resolutionsof 54 ps/√
E(GeV) ⊕ 50 psin time and5.7% /√
E(GeV)
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Radiativedecay BR (PDG) decaytype
ηγ (1.30 ± 0.03) × 10−2 φ → P (0 − +)γ
π0γ (1.24 ± 0.10) × 10−3 φ → P (0 − +)γ
η′γ (6.7 ± 1.5 ) × 10−5 φ → P (0 − +)γ
f0γ (3.3+0.8−0.5) × 10−4 φ → S(0 + +)γ
a0γ (8.8 ± 1.7 ) × 10−5 φ → S(0 + +)γ
Table2. Radiativedecaysof theφ meson.
in energy.
3 KLOE first physicsresults
As alreadyexplained,theKLOE physicsprogramis really a functionof theintegrated
luminosity. In year2002,we have publishedfew papers10–14 on radiative decaysand
KS physicsthataresummarizedin thefollowing paragraphs.
3.1 Resultson φ radiati vedecays
The radiative decaysof theφ mesonoffer a probeto studythe natureof light scalar
andpseudoscalarmesons.Theseprocessesaresummarizedin Tab. 2. Thefirst papers
focusedthesearchon radiativedecayswith BR of ∼ 10−4.
3.1.1 The pseudoscalarsector
In thepseudoscalarsector, themagnitudeof theφ → η′γ decayis sensitiveto thess and
gluoniumcontentof theη′ whichis not fully excludedfrom theexistingmeasurements.
A high precisionmeasurementof the branchingratio BR(φ → η′γ) is relevant for
clarifying this point. Accordingto thequarkmodel(assumingno gluoniccontentfor
η′) theπ0, η andη′ mesonsaredescribed,in thequark-flavourbasis,asfollows:
|π0〉 = 1/√
2 (|uu〉 + |dd〉) (2)
| η 〉 = cos(αp)/√
2(|uu〉 + |dd〉) + sin(αp)|ss〉 (3)
| η′〉 = − sin(αp)/√
2(|uu〉 + |dd〉) + cos(αp)|ss〉 (4)
(5)
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Fig. 1. Eventdensitydistributionsin theE1, E2 planefor dataafterpreliminaryevent
selection.
whereαp representsthepseudoscalarmixing anglein theflavourbasis.Fromtheabove
equations,andassumingtheφ mesonto bess , theratio of theBR’s for theprocesses
φ → η′γ (PSa)andφ → ηγ (PSb)is relatedto αp. A completederivationof this ratio
canbefoundin Ref.15andis parametrizedas:
Rφη′η =BR(PSa)
BR(PSb)= cotg(αp)
2
∣
∣
∣
∣
K(η′)
K(η)
∣
∣
∣
∣
3
F (αp, αv) (6)
whereK ’s aretheradiative photonmomentain theφ centerof massandF is a slowly
varyingfunctionwhichtakesintoaccountalsothecorrectquarkstructureof theφmeson.
theeventsPSa,PSbareselectedusingthedecaychains:
• φ → η′γ with η′ → ηπ+π− andη → γγ;
• φ → ηγ with η → π+π−π0 andπ0 → γγ;
The samefinal stateπ+π−γγγ is searchedfor both reactions,thusallowing the can-
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cellationof many systematiceffectsin themeasurementof Rφ−η′η. A goodseparation
betweentheη′γ andthedominantηγ events(S/B ∼ 1/100) is achievedby exploiting
thefactthattheradiativephotonhasmuchmoreenergy for thelatterevents(∼ 360 MeV
vs ∼ 60 MeV). Anothersourceof backgroundoriginatesfrom otherφ decayssuchas
φ → π+π−π0 andφ → KSKL. After a preliminaryevent selection,requiringa two
trackvertex closeto theIR andthreeneutralEMC clustersontime,akinematicfit to the
eventis performedapplyingmomentumconservationattheIR. Thisallowsusto greatly
improve themassdeterminationby adjustingthephotonenergies.A total efficiency of
22.8%,36.4%is foundfor thePSa,PSbdecaysafterapplyingalsoa looseχ2 cut and
a topologicalcut betweentheenergies(E1, E2) of thetwo mostenergeticphotons.In
Fig. 1 thescatterplot of E1, E2 is shown. Thetwo ellipsesaround360MeV aredueto
theradiativephotonof theηγ events,while thesignalfor η′ is concentratedin thecentral
ellipse.Selectingtheeventsin this region,andreconstructingtheinvariantmassof the
ππγγ system,aclearpeakat theη′ massvalueemergesovera low andflat background
(seeFig. 2). Thenumberof signaleventsis 124 ± 12stat ± 5syst.
Theratio of branchingratio is thenobtainedby normalizingto theηγ observedevents
andby takinginto accountsecondaryBR’s16 anddetectionefficiencies:12
BR(φ → η′γ)
BR(φ → ηγ)= (4.70 ± 0.47stat ± 0.31syst) × 10−3.
Thecorrespondingvaluefor thepseudoscalarmixingangleisαP = (41.8+1.9−1.6)
◦. Making
useof theφ → ηγ branchingratio16 weobtain:
BR(φ → η′γ) = (6.10 ± 0.61stat ± 0.43syst) × 10−5,
which is themostprecisedeterminationto date.Thisresultlimits thegluoniumcontent
in theη′ stateto belessthan15%.
3.1.2 The scalar sector
Although the existenceof the scalarmesonsf0(980) anda0(980) is well established,
their physical natureis still unclear. Both mesonshave a small width andsmall γγ
couplings,comparedto ordinarymesonsof thesamemass,while showing a largeKK
coupling.Themainhypothesesarethatthesestatesareqqqq, KK molecules.17,18 The
radiative decaysφ → a0γ, φ → f0γ offer a new methodto test the natureof these
mesons19 sincethevariousmodelscanbedisentangledby precisemeasurementsof the
branchingratiosandof thescalarmesonmassspectra.
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Fig. 2. φ → η′γ decay:distribution of theMππγγ invariantmass,after removal of the
ηγ identifiedevents;theestimatedresidualbackgroundis alsoshown.
Thedifferentisospinvaluesbetweenthesetwoscalarstranslatein differentaccessible
final states:thef0 (I=0) mainly decaysinto ππ while thea0 (I=1) decaysinto ηπ. We
havesearchedfor thefollowing decaychains:f0 → π0π0 (Sa)anda0 → ηπ0 (Sb)with
η → γγ, bothyielding a five photonfinal state. In thecaseof a0, anothersecondary
decayη → π+π−π0 (Sc)hasalsobeenexploited,givingafinal topologywith two tracks
andfivephotons.After apreliminaryselectionof 5 promptphotons(5 promptphotons
and2 tracksfrom the IR) a setof kinematicfits is performedto improve the energy
resolution.
In Fig. 3 we show thequality of thedatafor thesearch(Sa)by reportingtheχ2 of
the kinematicfit, the reconstructedπ0 massandvariousangulardistributions. Black
pointsaredatawhile thesolid curve is theMC expectationfor signal+background,the
backgroundis representedby theshadedarea.Thetotalefficiency is around41%andis
almostconstantasafunctionof theπ0π0 invariantmassMπ0π0 . Alsothetwootherdecays
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Fig. 3. Data-MCcomparisonfor φ → π0π0γ eventsafter preliminarselection: (a)
χ2/ndf ; (b) differencebetweenreconstructedandexpectedMπ0 value;(c),(d)angular
distributionswith all cutsapplied.cos θ is thepolarangleof theradiativephoton,cosψ
is theanglebetweentheradiativephotonandaπ0 in theπ0π0 rest-frame.
show a gooddata-MCcomparison.The decaySb still suffers of a 30% background
contaminationwhile Sc,althoughstatisticallylimited, is practicallybackgroundfree.
This is alsothefirst observationof suchadecay.
In the 16 pb−1 of the 2000datasample,we count2438± 61, 607±36, 197±15
signaleventsfor thechannelSa,Sb,Screspectively. Thesefirst studiesalreadycontain
much larger statisticsthan the previousVEPP-2Mexperiments. TheMπ0π0 (Fig. 4)
andMηπ0 (Fig. 5) spectraarethenreconstructedfor theselectedevents.Theobserved
distributionsareusedtoevaluatethebranchingratios,afterhavingnormalizedtheevents
to theφ productioncrosssection,asmeasuredin theφ → ηγ (η → γγ) threephoton
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m (MeV)
dBR
/dm
x 1
08 (M
eV-1
)φ→(f0+σ)γ
φ→f0γ
φ→σγ
Interference
-25
0
25
50
75
300 400 500 600 700 800 900 1000
Fig. 4. Differentialdecayrateasa functiononMπ0π0 . Thetotal fit andthe individual
contributionsarealsoshown.
process:
BR(φ → π0π0γ) = (10.9 ± 0.3stat ± 0.5syst ) × 10−5 (7)
BR(φ → ηπ0γ, η → γγ) = (8.51 ± 0.51stat ± 0.57syst) × 10−5 (8)
BR(φ → ηπ0γ, η → π+π−π0) = (7.96 ± 0.60stat ± 0.40syst) × 10−5 (9)
wheretheη decayBR’s in theηπ0γ final stateshave beenscaledaccordingto Ref.16.
The above valuesincludepossiblecontributions from the resonantdecayφ → ρπ0,
followedby ρ → π0γ or ρ → ηγ. In orderto extractthef0 anda0 parametersfrom the
massspectra,afit hasbeenperformedontheMπ0π0 andMηπ0 distributionsrespectively.
Themodelspectrumis takenasthesumof f0γ (a0γ), ρπ andinterferenceterms.For the
scalarmesoncontributiontheformulationof Ref.19isused,whichisbasedonφcoupling
to a chargedkaonloop. Thevectormesontermis takenfrom VMD calculations.20 At
theend,thecontribution from theρπ final stateturnsout to benegligible in bothcases;
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Fig. 5. φ → ηπ0γ: Mηπ invariantmassdistributionsfor two differentsampleson data
after resolutionandefficiency unfolding: five photonssample(opencircles),andfive
photonsandtwo trackssample(blackcircles). Theresultsof thefit aresuperimposed
asasolid line. Dashedcurvesarethecontributionsof thesingleterms.
moreover, a goodfit to theMπ0π0 spectrumcanonly be obtainedincluding, together
with the f0, a contribution from anotherlight scalarmeson(σ) anda strongnegative
interferencetermbetweenthetwo. Branchingratiosarefinally obtainedfor thef0 final
state:10
BR(φ → f0γ, f0 → π0π0) = (14.9 ± 0.7) × 10−5,
andfor thea0 final state:11
BR(φ → a0γ, a0 → ηπ0) = (7.4 ± 0.7) × 10−5.
KLOE resultsonthescalarmesons,basedonthe2000datasample,arecompatiblewith
thefour quarksmodelin thecaseof thef0, but donotagreewith thesamemodelin the
caseof a0 decay.
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β* K L
Eve
nts/
10-3
K →
→S π0π0
KS π+π-
0
2k
4k
6k
8k
10k
12k
14k
16k
18k
20k
0.2 0.21 0.220.2 0.21 0.22 0.23 0.24
( )
K
K corr.
00.2 0.21 0.22 0.23 0.24
2k
4k
6k
8k
10k
12k
14k
→
→
S π0π0
S π+π-
Fig. 6. Distribution of β in the φ centerof masssystem,β∗, for KL interactingin
the calorimeterwith KS→π0π0andKS→π+π−selections.In the insertion,the same
distributionsareshown aftercorrectingfor thewrongbunchassignement.
3.2 KS physicsresults
As alreadystatedin the introduction,neutralkaonsat a φ–factoryareproducedin a
coherentJPC = 1−− quantumstate,which is a superpositionof KSKL stateswith
oppositemomenta:
|i〉 = 1/√
2(|KS , ~P 〉|KL ,−~P 〉 + |KL , ~P 〉|KS ,−~P 〉) (10)
Thisallowsthetaggingof pureandalmostmonochromatickaonbeams:thedetectionof
aKL (KS) tagsthepresenceof aKS (KL) in theoppositehemisphereof theapparatus.
In particular, averyrobustandalmost unbiasedKS tagisprovidedby theinteractionsof
KL in thecalorimeter:in about30%of thecasestheKL doesnotdecayin thedetector,
reachesthecalorimeterbarrelandinteractstherein.A time-of-flightmeasurementthen
allows a cleanselectionof theseinteractionssinceβKL∼ 0.218 (seeFig. 6). Results
from the2000datasetcomefrom 5.4 × 106 taggedKS.
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Fig. 7. Distributionsfor KS eventstaggedbyKL interactionin thecalorimeter:(top)
energy andcos θ spectrafor eventswith four neutralclusters,(bottom)distribution of
momentumfrom IR.
3.2.1 The ratio BR(KS → π+π−(γ))/BR(KS → π0π0)
Thefirst topicaddressedis themeasurementof theratio:
Rπ = BR(KS → π+π−(γ))/BR(KS → π0π0) (11)
which is a steptowardsthe determinationof <(ε′/ε) with the doubleratio method.
Althoughthedoubleratio is known with aprecisionof 0.1%thesingleratiosareknown
only with aprecisionof ∼ 2%. Ourgoalis to measureeachsingleratiowith aprecision
of 0.1%. The precisemeasurementof the singleratio for theKS, is alsorelevant for
the extractionof the isospinI = 0, I = 2 amplitudesandphasesfor theK → 2π
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Sourceof systematics RelativeError (%)
Eventcount 0.14
Tracking 0.26
Clustercounting 0.20
Triggering 0.10
Ratioof tagefficiencies 0.55
Cosmic-rayveto 0.21
Total error 0.70
Table3. Contributionsto thefractionalerroronRπ.
process.In our measurementof Rπ, effort wasspentto correctlytake into accountthe
soft radiationemittedin π+π−γ decay.
From the sampleof taggedKS decaysthe ratio of π+π−(γ) andπ0π0 branching
ratiosis extractedby selectingtwo categoriesof events:2 tracksfrom theIP for π+π−
decaymode,andat leastthreepromptphotonsfor theπ0π0. Thequality of thedatais
shown for bothsamplesin Figs.7a,b. While theselectionefficiency hasbeenevaluated
from theMonteCarlosimulation,all otherefficiencies,suchasthetrackreconstruction
efficiency andthephotondetectionefficiency havebeenevaluatedfrom data.
Moreover, specialeffort hasbeendevotedin theassessmentof theπ+π−(γ) selec-
tion efficiency asa functionof thecenterof massphotonenergy E∗γ , from zeroto the
maximumallowedenergy of ∼170MeV. In orderto performafully inclusivemeasure-
ment,theselectionefficiency hasbeenevaluatedfrom MonteCarloandfoldedinto the
theoreticalE∗γ spectrum.21 Thecorrectedratio is then:13
BR(KS → π+π−(γ) )
BR(KS → π0π0 )= 2.236 ± 0.003stat ± 0.015syst.
The contribution of the systematicserrorsare listed in Tab. 3. Our result is slightly
higherthanthecurrentworld averagevalue(Rπ = 2.197 ± 0.026) althoughthiscanbe
expected,sinceourmeasurementincludestheentireradiativespectrum.
3.2.2 SemileptonicKS decay
The secondresult is the measurementof BR(KS → π±e∓ν(ν)) with 5% accuracy,
basedon thelargestsamplecollectedsofar. Theamplitudesof theK0K0 to undergoa
semileptonicdecaywith adeterminedleptoncharge(l±) aredescribedby thefollowing
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equationsdependinguponif the∆S = ∆Q rule is satisfiedor violated:
A(K0 → l+) = a+ b A(K0 → l−) = a∗ − b∗ (∆S = +∆Q) (12)
A(K0 → l−) = c+ d A(K0 → l+) = c∗ − d∗ (∆S = −∆Q) (13)
wherea,c (b,d) arecomplex amplitudesCPT conserving(violating). AssumingCPT
conservation, the ratio of the decayratesof theKS andKL integratedover the final
leptonchargeresultsto:
Γ(KS → l+) + Γ(KS → l−)
Γ(KL → l+) + Γ(KL → l−)= 1 + 4<(c/a) = 1 + 4<(x) (14)
To improve the presentlimits on <(x)16 it is necessaryto reach2% accuracy on the
measurementof theKS semileptonicbranchingratio. This will be accomplishedby
KLOE whentheongoinganalysisoverthewholedatasamplewill beconcluded.Using
thesamesample,wecanalsoperformthefirstmeasurementof theKS chargeasymmetry
Als:
Als =
Γ(KS → l+) − Γ(KS → l−)
Γ(KL → l+) − Γ(KL → l−)(15)
TheprecisionexpectedonAls is of theorderof 1%.
Theselectionof semileptonicKS → πeν candidateeventsalsostartsfromthesample
taggedby theKL interactionsin thecalorimeter:eventsareselectedby requiringtwo
tracksof oppositechargeformingavertex neartheIR. A cuton thetwo trackinvariant
massis appliedto reduceKS → π+π− background. Semileptoniceventsare then
identifiedon thebasisof π/e assignmentusingthe time-of-flight measurementfor the
two tracks.TheKL clustergivesanestimateof theKS momentum,thusallowing the
kinematicconstraintof theevent. Thedifferencebetweenthemissingenergy andthe
missingmomentumat thevertex is finally computed;sucha differenceshouldbezero
forKS → πeν decays.TheEmiss −pmiss spectrumis shown in Fig.8, togetherwith afit
to thesumof MonteCarlosimulationsof thesignalandKS → π+π− background.The
freeparametersof thefit arethesignal/backgroundnormalizationandthesignalyield,
giving 627±30events.
Correctingfor all the selectionanddetectionefficiencies,andnormalizingto the
numberof observedKS → π+π− events,themeasuredbranchingratio is:14
BR(KS → π±e∓ν(ν)) = (6.91 ± 0.34stat ± 0.15syst) × 10−4
in agreementwith the expectedvalue(6.70 ± 0.07) × 10−4 assumingthe validity of
∆S = ∆Q rule.16
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Fig. 8. KS semileptonicdecay: theexperimentalspectrumfor Emiss − pmiss shows a
clearpeakatzero,correspondingtoKS → πeν decays;amaximumlikelihoodfit with
theMonteCarlosignal+background(KS → π+π−) shapesis superimposed.
4 Physicsitemsunder study
Anothersetof interestingphysicsmeasurementsis alreadyin advancedstageover the
wholedatasample.Wereportthemin thefollowing chapters.
4.1 Measurementof the hadronic crosssection
The measurementof the hadroniccrosssection,σhad = σ(e+e− → hadrons), at low
energy is extremelyrelevant to improve the theoreticalerror on the anomalousmag-
neticmomentof themuon,aµ = (gµ − 2)/2. Thehadroniccontribution,aµhad, cannot
becalculatedat low energy with perturbative QCD while, following a phenomenolog-
ical approach,canbe evaluatedfrom the measurementof R(s) troughthe following
dispersionrelation:
aµhad = (
αmµ
3π)3
∫
4m2π
dsR(s)K(s)
s2, (16)
whereR(s) is σ(e+e− → hadrons) /4πα(s)2
3sandK(s) is the kernel. The 1/s2 factor
in eq.16 enhancesthecontribution of σhad at low energy to aµhad. Theerroron aµ
had
is thedominatingcontribution to thetotal theoreticalerroraµthe andit is relatedto the
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Q2(GeV 2)
0
5000
10000
15000
20000
25000
30000
35000
40000
0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fig. 9. Raw spectrumof thee+e− → π+π−γ eventsselectedwith anacceptancecut:
θγ below 15◦ andabove165◦.
limited knowledgeof σ(e+e− → hadrons). The discrepancy betweentheoryandthe
mostrecentexperimentaldeterminationof aµ differsdependingif τ -leptondataareused
or not in evaluatingaµhad 22 (from 1.6to 3.0standarddeviations).Thissituationpushes
for a new precisemeasurementof σhad at low energy particularlyin theρ region. An
accuracy of 0.6%wasrecentlyachievedin this region.23
The novelty of the measurementcarriedout in KLOE is that, even operatingat a
fixedcenterof massenergy∼ Mφ, theσhad canbeevaluatedbetweenthe2π’sthreshold
andMφ usingthe radiative return, i.e. throughthe processe+e− → π+π−γ. In this
process,theemissionof photonsdueto initial stateradiation(ISR) lowerstheavailable
invariantmassof thehadronicsystem.
DefiningQ2 asthe invariantmassof theπ+π−systemandθγ to be the maximum
polarangleof theemittedphotonusedin theanalysis,themeasureddifferentialcross
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400
Fig. 10. The form factor|Fπ|2 asa functionof Q2. Thecurvesreportedare: theone
of thefit describedin thetext (black)andtheonefrom CMD-2 (grey). They areamost
indistinguishable.
sectionfor theprocesse+e− → π+π−γ is relatedto σhad asfollows:
Q2 · dσ(e+e− → π+π−γ)/dQ2 = σ(e+e− → hadrons) ·H(Q2, θγ) (17)
A solid theoreticalknowledgeof theradiatorfunction,H, is neededin orderto extract
σhad from the measuredcrosssection. Different theorygroupshave calculatedthese
correctionsuptonext to leadingorder(NLO) andimplementedit in anew MC generator
calledPHOKHARA.24 This generatoris alreadyusedin KLOE, theabsoluteaccuracy
claimedisof 0.5%.Comparedtothetraditionalmethodof theenergyscanthistechnique
offerstheadvantagethatthesystematics,onbothnormalizationanddefinitionof beam
energy, is commonto all measuredpoints. However, a precisedeterminationof FSR
andotherresonancecontribution (asfor instancee+e− → f0γ) is required.
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A moreextendedreporton theKLOE analysiscanbe foundelsewhere,25 herewe
recallonly thebasicanalysissteps.Theinitial sampleis selectedrequiringthepresence
of two chargedtrackscomingfrom IR andproducedwith polaranglesbetween40◦ ÷140◦. A powerful π-e discriminationis performedusinga likelihoodmethodbasedon
time-of-flightandshowershapein thecalorimeter. Cuttingonthetrackmassvariable‡ a
clearseparationbetweene+e−γ,µ+µ−γ andπ+π−γ isobtained.A residualbackground
contaminationof few %existsatlowQ2 values(< 0.4 GeV2) fromeventsφ → π+π−π0.
An acceptancecut on θγ definethe samples:small-angle(θγ < 15◦) andlarge-angle
(θγ > 45◦).
At themoment,theanalysisis focusedon thesmall-angledatasample.Out of the
200pb−1 takenin 2001andalreadyreconstructed,we have analyzed∼ 73 pb−1. The
e+e− → π+π−γ event yield correspondsto ∼ 15000events/pb−1. In Fig. 9 the raw
spectrumis shown, the ρ − ω interferenceis clearly seen,evidenceof the excellent
momentumresolutionof thedrift chamber.
NeglectingFSRinterference,thepionform factorcanbeextracted,for eachi-th bin
in Q2, from theobservedraw spectrumof e+e− → π+π−γ,Nobsi , asfollows:
|Fπ(Q2i )|2 =
Nobsi
ε(Q2i ) · L · σpl(Q2
i ), (18)
whereε(Q2i ) is theglobalefficiency, L is the integratedluminosityandσpl(Q
2i ) is the
differentialcrosssectionfor e+e− → π+π−γ (seeeq.17)evaluatedto NLO andassum-
ing pointlike particles.Thesystematicerroron theefficiency is ∼ 2% while theerror
on theluminosityandonσpl is alreadybelow the1% level. Theform factorextracted
from eq.18 is shown in Fig.10andhasbeenfitted following theKS parametrization:
Fπ(Q2) =BWρ(1 + αBWρ)/(1 + α) + βBWρ′
1 + β, (19)
whereBW is a standardBreit-Wignershape.Themassandwidth of theρ andtheα,
β parameterswereleft to vary freelyon thefit while theotherparameterswerefixedto
thePDGvalues.Resultsarein goodagreementwith what foundby CMD-2 although
usinga slightly differentparametrization.As it canbeobservedin Fig. 10 thereis still
someresidualbackgroundto fight at low energiesandwe have not yet tried a serious
unfolding of the experimentalresolution. The goal is to publishthe form factorwith
errorsbelow 1%.
‡TheMtrk variableis obtainedapplying4-momentumconservation,underthehypothesisthat thefinal
stateconsistsof two particleswith samemassandonephoton.
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Fig. 11. Densitydistribution for theDalitz-plotof eventswith π+π−π0 final state.
4.2 Dynamicsof the decayφ → π+π−π0
About15%of theφ decaysproceedsto theπ+π−π0 final state,representingthelargest
non-kaonicφ decay. This processis dominatedby theρπ intermediatestatesand,by
simpleisospinarguments,we expectall thethreeρ chargedstatesto beproducedwith
similar rate. This decayis thereforewell suitedto performa studyof massor width
differencesamongρ+, ρ−, ρ0. In theliterature26 hasalsobeenshown thatadirectdecay
φ → π+π−π0 ispossiblealthoughwith amuchreducedrate.Thepublishedanalyses27,28
from CMD-2 (SND) rely on 12.000(500.000)events.KLOE reconstructsthis kind of
eventswith anoverallefficiency of 30%guaranteeingalargedatasamplewith verysmall
contamination.Even whenrestrictingthe analysisto 2000data,a sampleof 2 × 106
eventsis availableto derive themassesandwidthsof theρ andtheamountof thedirect
termandits interferencewith themainρπ term.
Thedynamicsof thedecayis describedby thedensityof theDalitz-plot. Thetwo
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Mρ0 (MeV) Γρ (MeV) ∆M0,± (MeV) ∆M+,− (MeV)
775.9± 0.6± 0.7 145.2± 1.2± 1.0 -0.5± 0.3± 0.7 +0.7± 0.4± 0.7
Table4. Resultsonmassesandwidthsof theρ.
σ (nb) ad φd
470± 11 0.093± 0.011± 0.015 2.45± 0.09± 0.10
Table5. Resultsoncrosssectionanddirecttermfor φ → π+π−π0.
standardvariables,X = T+ − T− andY = T 0, areused,with T beingthepionkinetic
energy. Theaccessiblephasespaceis boundedin thealmosttriangularregionasshown
in Fig. 11. Thedensitydistribution in theDalitz-plot shouldrevealthevectornatureof
theφ-meson.Sincetheπ’s,producedin thefinal state,arepseudoscalarstheonly way
to build avectoris by theproductof two of thepionmomenta(i.e. ~Pππ = ~Pπ+ × ~Pπ−).
Thedensityis thenproportionalto thesquareof theamplitude:
|Atot|2 = |~Pππ|2 · |∑
Ai|2, (20)
whereAtot = Adir+Aρπ+Aωπ. All theseamplitudesarecomplex functionsrepresenting
thedirectterm,themainintermediatestateρπ andthenegligible ωπ term.Theρπ term
is describedasthesumof threeBW shapes(k = 0,+,− dependinguponthecharge
stateof theρ) with a total width which dependson theinvariantmass,Q2k, of thefinal
stateπ+π−(π+π0, π−π0) asfollows:
Γk(Q2k) = Γk(Pπ(Q2)/Pπ(Mk))
3(mk/Qk), (21)
wheremk aretheρ massfor the threechargedstates,andPπ is themomentumof the
pionsin theircenterof masssystem.Thedatashown in Fig. 11hasbeenfit with eq.20
aftercorrectingfor selectionefficiency andintegratedluminosity. Theresultsarelisted
in Tabs.4,5 andarestill to beconsideredpreliminarysinceafew checksarein progress
on thesystematicerrorsconnectedto theevaluationof theselectionefficiency. At the
moment,wesummarizetheresultsasfollows:
• We do observe a dominantρπ termanddefinetelyestablishedtheexistenceof a
direct term with an amplitudeof ∼ 9% anda phaseof 2.4 radswith respectto
theρπ term. This is consistentwith theboundssetby CMD-2 whichperformeda
similar analysis.
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404
W (MeV)
cro
ss s
ectio
n (
µb )
0
0.2
0.4
0.6
0.8
1
1015 1020 1025 1030
Fig.12. Visiblecrosssectionfor theprocessφ → KSKL, withKS→π+π−, asafunction
of thecenterof massenergy,W . Thefit superimposedis correctedfor ISR effects.
• ThevalueofMρ is in agreementwith PDG,while thevalueof Γρ is slightly lower
thanPDGwhichquotes150MeV.
• No differenceis found,at a permil level, betweenρ± andρ0, in agreementwith
thePDGvalueof 0.4± 0.8MeV.
• No differenceis found,atapermil level, betweenρ+, ρ−. No entriesexistsof this
measurementin PDG.
4.3 A precisedetermination of the neutral kaon mass
Theneutralkaonmasscanbemeasuredusingtheprocessφ → KS, L with KS→π+π−
if theφ-massis usedto accuratelycalibratethescaleof thecenterof massenergy, W .
Dueto thesmallmassdifference,∆M = (Mφ − 2Mk) ∼ 26 MeV, it is convenientto
expressW asa functionof kaonquantities:
W = EKS+ EKL
∼ 2Ek (22)
and
M2k = W 2/4 − P 2
k (23)
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497.4
497.5
497.6
497.7
497.8
497.9
498
CMD NA48 KLOE
neutral kaon mass (MeV/c2)
Fig. 13. Comparisonof thethreemostprecisemeasurementsof theneutralkaonmass.
in thiswayweget: ∆Mk ∼ δW/2. Similarly, thefractionaluncertaintiesonMk dueto
afractionalerroronPk is reducedby afactorβ2k ∼ 0.05, allowing ahighprecisionmass
measurement.For thisanalysis,wehaveusedthe11pointsof theφ-scanperformedin
2001(seeFig.12). Eachcollectedpointconsistsof ∼ 50 nb−1 of integratedluminosity.
TheaverageW value,of eachrun,isobtainedfitting thee+e− invariantmassdistribution
in Bhabhaevents; relative precisionfor eachpoint is ∼ 3 keV. The ISR affects the
availablecenterof massenergy of an amountwhich is processdependent;we called
fk(W ) the correctionfor φ → KSKL events. In this way for eachrun, we obtain
Wk = W − fk(W ). By measuringthemomentaof thekaonsandusingtheaverageφ
momentumobtainedwith Bhabhaeventswe getthemassthrougheq.23. Singleevent
precisiononMk is around430keV.
To calibratethescaleof thecenter-of-massenergy, we have measuredtheφ-mass
fitting the line shapeof the processe+e− → φ → KS, L with KS→π+π−; the fitting
functiontakesinto accounttheISR andtheinterferenceeffectsof theρ andω mesons
with theφ. Theonly freeparametersarethemassandwidth of theφ andthepeakcross
section.Theresultof thefit is superimposedondatain Fig. 12. Weget:
Mφ = (1019.329 ± 0.011stat) MeV.
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Fig. 14. DistributionofMγγ for theeventswith aKL tagandtwo photonsconnectedto
theneutralvertex.
Thevaluefound,with asimilarfitting procedure,by theCMD-2experiment29 is instead:
Mφ = (1019.504 ± 0.011stat ± 0.033syst) MeV.
In this casethe energy scaleis measuredusingthe resonancedepolarizationmethod.
Comparingthe two valueswe getaW -scalecorrectionfactorof 1.00017(i.e. a mass
shift of around170keV). Theaveragevalueof thekaonmassobtainedis:
MK = (497.584 ± 0.005stat) MeV.
Small contributionsto the systematicerror onMK aregiven by the momentumscale
(6 keV) andby the fk(W ) correction(7 keV); the dominantcontribution is still due
to thedeterminationof theenergy scalewhich correspondsto ∼ 18 keV. In Fig. 13, a
comparisonbetweenour resultandothermeasurementsof thekaonmassis shown.
4.4 BR measurementof the KL → γγ decay
Altough still statisticallylimited, thereare interestingphysics topicsalso in rareKL
decays.At present,we arecarryingout a precisemeasurementof theBR(KL → γγ)
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Fig. 15. Distribution of τK for theKL eventswith morethanthreephotonsconnected
to theneutralvertex.
sinceits valueis a goodtestfor Chiral PerturbationTheorypredictions.This decayis
verypreciselymeasuredby NA4830 throughtheratioR2γ,3π0 :
R2γ,3π0 =BR(KL → γγ)
BR(KL → π0π0π0)= (2.81 ± 0.01stat ± 0.02syst) × 10−3. (24)
In our search,we first selecta KL tagged-samplerequiringa KS→π+π− decay.
Wethenreconstructtheneutralvertex connectedto theKL, NV, usingthepositionand
timing of theneutralclusters,NC,associatedto thisvertex andtheknowledgeof theKL
flight directionprovidedby theKL tag.At theendof thisprocedure,aspatialresolution
of ∼ 1 ÷ 2 cmonNV is obtained.Weretainfor furtheranalysistheeventshaving only
two photonsconnectedto NV. After few topologicalcutsareapplied,andplotting the
invariantmassof thetwo photons,acleanpeakattheKL mass(seeFig.14)is observed.
The backgroundis small andis concentratedat low massvalues(Mγγ < 400 MeV).
Thesignal/backgroundratio obtainedintegratingover thewholespectrumis 12. In a
sampleof 150 pb−1 we count8537± 117 events. Normalizationis performedwith
theKL→3 π0 eventscountedin the samesample. They areobtainedwith the same
techniquecountingall theeventswith NC ≥ 3. TheresultingratioR2γ,3π0 is:
R2γ,3π0 = (2.84 ± 0.04 ± 0.03) × 10−3 (25)
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At present,weareanalyzingall availablestatisticsandworkingonreducingthesystem-
atic errors. Using the normalizationsampleof KL→3 π0 we have alsomeasuredthe
lifetime of theKL asreportedin Fig. 15.
4.5 Physicsreachwith chargedkaons
Similarly to theKSKL pair, theφ-mesondecays49% of thetime into aK+K− which
correspondsto a K± productionrate of 1.5 × 106/pb−1. At the moment,we have
collected∼ 0.8×109K+K−. Alsofor thisprocess,auniquefeatureof KLOE is tagging
i.e. observingaK+(K−) in onesideof thedetectorallowsto establishthedirectionand
thepresenceof theK−(K+) in theoppositehemisphere.Giventheavailablerates,we
canmeasurewith highaccuracy theproductioncrosssectionandall thedecaybranching
ratiosof thechargedkaons.
Oneinterestingmeasurementwhichis beingcarriedoutis thedeterminationof |Vus|fromKl3 decays:K± → π0l±ν calledK+
l3 andK0 → π±µ∓ν calledK0l3 wherel stands
eitherfor electronor muon. The mostaccuratetestof the unitarity condition,on the
CKM-matrix, isprovidedby themeasurementsof |Vus|, |Vud| and|Vub| matrixelements;
presentexperimentalvalueindicatesa (1.0 ÷ 2.7)σ effectof deviation from unitarity.5
Thepartialwidth of agenericKl3 decay31 is givenby:
Γ(Kl3) =G2
FM5K
192π3·SEW ·C2
K |Vus ·f+(0)|2 ·IK(m2K ,m
2π,m
2l , f+,0(q
2))×(1+δk), (26)
whereGF is theFermiconstant,IK is thephase-spaceintegralandf+(q2), f0(q2) arethe
form factorsof hadronicvectorcurrentwith changeof strangeness.Theseform factors
incorporatealsotheisospinbreakingcorrection(betweenK±,K0) andthesecondorder
SU(3)breakingeffectarisingfroms−d, u quarkmassdifference.Radiativecorrections
arefactorizedin thetwotermsSEW (electroweakshort-distancecorrection)andδk (QED
long distancecorrection).Thewidth, Γ(Kl3), is usuallymeasuredasBR(Kl3) × ΓK .
Measuringalsotheq2 dependenceof theform factor:
f+,0(q2) = f+,0(0) ·
(
1 +λ+,0
m2π
q2)
, (27)
theintegralIK canbeevaluatedleavingasthebasicobservabletheproduct|Vus ·f+(0)|.The form factor at q2 = 0 is determinedby theory and it is the dominant(0.86%)
contributiontotheerroron|Vus|. ThedeterminationofVus fromKl3 decays5 corresponds
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409
to: Vus = 0.2196 ± 0.0026 (1.18%relative error). Theerrorson themeasurementcan
beparametrizedas:
∆|Vus||Vus|
=[
0.5 ×(
∆BR
BR⊕ ∆τk
τk
)]
⊕(
0.05 × ∆λ+
λ+
)
⊕(
∆f+(0)
f+(0)
)
, (28)
whereτk is theK mesonlifetime. Asidefromthetheoreticalerroronf+(0), thereisalso
a0.6%errorontheBR measurements(still drivenbyKe3 decays).As explainedabove,
themeasurementin bothK+e3 andK0
e3 eventsallowsoneto testthecurrentunderstanding
on SU(2),SU(3)breakingeffectsanda new measurementof BR for bothK+e3 andK0
e3
is necessary. This is alsoa strongmotivation to determinethesevaluesin the same
experiment.
Thestrategy for themeasurementof BR(K+e3) is to usethevery cleansignatureof
the decaysK± → π±π0 andK± → µν to tag the otherchargedkaon in the event.
The taggingefficiency is estimateddirectly on datausingfor instance,the redundant
calorimetricinformation.Fromthestatisticalpointof view, weexpectto reacharelative
erroron theBR below 0.1%usingthewholeavailablestatistics.
5 Futur eprospects
Many otherphysicstopicsarebeingcarriedout by thecollaborationand,altoughin a
verypreliminarystateto discusspublicly, it is interestingto list thework in progressto
show thephysicsreachof theexperiment.As far asthehadronicphysicsis concerned,
thefactor30 increasein statisticswill allow usto:
• performan exhaustive studyof the f0(980), a0(980), η′ mesonswith a factor5
reductionon the relative statisticalerror. In the meanwhileworking on the sys-
tematicssideweexpectto reach:
1. ∼ 1-2%precisionon theBR for theprocessesφ → f0γ, φ → a0γ;
2. ∼ 3% precisionon theBR for theprocessφ → η′γ anda stringentlimit on
gluoniumcontent;
• look for theinterferenceschemebetweenthef0(980)andthefinal stateradiation
in e+e− → π+π−γ at largephotonpolarangles;
• startthestudyof rarephysicsin theη sector. Wehaveatthemoment∼ 5×106 η’s.
We expectto setupperlimits on rareC-violatingdecayssuchasη → γγγ. The
high statisticssamplewill also permit to measurethe Dalitz-plot slopesof the
decayη → π0π0π0 andη → π+π−π0.
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In thekaonsectorwe intendto to thefollowing:
• usingthesemileptonicdecayof theKS we canperforma testof the∆S = ∆Q
ruleandmeasurewith 1%precisionthechargeasymmetry;
• improve theprecisionin thedeterminationof Rπ to 0.1%while showing alsofor
thefirst time thedifferentialdecayratefor KS → π+π−(γ) asa functionof Eγ;
• measurethe BR of the CP violating decayof theKL (e.g to π0π0, π+π−) with
around1%precision;
• measureall singleKL decayto betterthan1%;
• startthesearchon rareKS decays(e.g.KS→π0π0π0,KS→π+π−π0);
• measuretheincoherentregenerationcrosssectionofKL onBe/C;theboostof the
φ mesonoriginatesalsoa ∼ 10 MeV spreadin thekaonmomentapermittingto
performthismeasurementalsoasa functionof PK ;
• Altough with limited statistics,the quantuminterferometryschemeis beingob-
servedin φ → KSKL → π+π−π+π− channel.Theintentionis to show this and
all theotherinterferometryeffects.
On theφ sectorwe expectto measureto betterthan1% all maindecaychannelsof the
φ mesonwhile performingalsothemeasurementof Γee andΓµµ.
6 Conclusions
DAΦNE performancehasimprovedconsiderablyafterthefirst two yearsof datataking
delivering now a luminosity of > 3.5 pb−1 per day in the KLOE interactionregion.
A long winter shutdown is scheduledto roll-in the FINUDA detectorin the opposite
interactionregion while installing a new interactionregion in KLOE. The goal is to
reacha peakluminosity of 5 × 1032cm−2s−1 in order to startCP-CPTstudiesin the
2003-2004data-takingperiods.
TheKLOE detectoris fully operationalandreconstructiondetailsarewell under-
stood. From the small sampleof the 2000datataking, we have resultsonKS andφ
radiative decayswhich improve thepreviousPDGvalues.At themoment,the recon-
structionof datasummarytapesfor all datacollectedup to now is completedandthe
analysisis startedon the whole statistics: new resultsareexpectedon rareKS, KL
decaysandonmany itemsof chargedkaons,η, η′, ρ, a0 andf0 mesons.Wealsoexpect
to publishaveryprecisemeasurementof thehadroniccrosssectionat low energies.
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7 Acknowledgments
We thankthe DAΦNE teamfor their efforts in maintaininglow backgroundrunning
conditionsandtheir collaborationduringall data-taking.
We alsothankGiuseppeFabioFortugnofor his efforts in ensuringgoodoperations
of theKLOE computingfacilities.
Thiswork wassupportedin partby DOEgrantDE-FG-02-97ER41027;by EURO-
DAPHNE,contractFMRX-CT98-0169;by theGermanFederalMinistry of Education
andResearch(BMBF) contract06-KA-957;
by Graduiertenkolleg ’H.E. Phys.andPart. Astrophys.’ of DeutscheForschungsge-
meinschaft,ContractNo. GK 742;by INTAS, contracts96-624,99-37;andby TARI,
contractHPRI-CT-1999-00088.
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