Testing the m-e universality with ±

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Testing the m-e universality with ± ± K l n decays Venelin Kozhuharov University of Sofia St. Kl. Ohridski / JINR Dubna Neutrino Oscilation Workshop 2006 on behalf of the NA48/2 collaboration Cambridge, CERN, Chicago, Dubna, Edinburgh, Ferrara, Firenze, Mainz, Northwestern, Perugia, Pisa, Saclay, Siegen, Torino, Vienna

Overview Physics motivation Experimental setup Data analysis Preliminary result for 2003 data Conclusions 2

Motivation Within the Standard Model: M. Finkemeier: Phys.Lett.B387:391-394,1996 where drm arises from the radiative corrections, M=p±,K± For K±: drk= -(3.78±0.04)%, leading to RK= (2.472 ± 0.001) * 10-5 3

Motivation Within the Standard Model: M. Finkemeier: Phys.Lett.B387:391-394,1996 H+ LFV where drm arises from the radiative corrections, M=p±,K± For K±: drk= -(3.78±0.04)%, leading to -5 R = (2.472 ± 0.001) * 10 A. Masiero et al. Phys.Rev. D74 (2006) 011701 K The value of RK could be different in case of SUSY and LFV models the correction could be as high as 3% in both directions Measurement of RK tests the m-e universality and provides a sensible test of the SM 4

Measurements Standard Model RK=(2.472±0.001)*10-5 Phys. Lett. 60B (1976), 302 Phys. Lett. 55B (1975), 327 Experiments with stopped kaons Phys. Rev. Lett 29 (1972), 1274 Experimental error on RK: two orders of magnitude larger than the theoretical 5

Beam setup Width ~ 5mm PK: spectra 60 3 GeV/c 54 60 K+/K- ~ 1mm 66 K+ K+ 400 GeV protons Be target beam pipe K K Beam spectrometer 6

Detector setup Magnetic spectrometer 4 drift chambers p kick = 121 MeV/c Dp/p = 1% 0.044*p [GeV/c] Hodoscope s(t) = 150 ps Liquid Krypton Calorimeter DE/E 3.2%/ E 9%/E 0.42% Hadron Calorimeter, Muon counters, Anticounters, Kaon Beam Spectrometer Beam direction 7

Experiment primarily designed for the measurement of the charge asymmetry in K p p+ p and K p0 p0 p decays 2003 run: ~ 50 days nominal conditions ~ 12 hour special run 2004 run: ~ 60 days nominal conditions ~ 56 hour special run ~ 200 TB of data recorded The huge statistics ( ~4 109 K p+p p ) allows to study rare kaon decays with high precision

2003 data: Trigger Km2 events: signal from the charged hodosope Ke2 events L1 trigger: hodoscope signal + Energy deposition in the EM calorimeter > 10GeV L2 trigger: online kinematics reconstruction MFake2 = MK2 + Mp2 - S L2 efficiency using Ke3 events S=(pK-pp)2, pk=(0,0,60) GeV/c K± p±p0 events: MFake peaks at 495 MeV online cut L2 trigger efficiency (85.6 ± 0.5(stat) ± 0.2(syst))% 9

2003 data: Event Selection The similarity between the decays allows to exploit systematics cancellation Charged track with momentum 15 GeV<P<55 GeV No extra clusters with Ecl > 1.5 GeV, no hits in the anticounters, no in time tracks. Vertex reconstructed within 2000 cm < Zvtx < 8500cm Km2 selection: Muon hypothesis 2 2 2 Mmiss < 0.02 (GeV/c ) Ke2 selection: PID: E/Pc>0.95 Electron hypothesis 2 2 2 Mmiss < 0.02 (GeV/c ) E energy deposition in LKR P momentum from the spectrometer Ke2 events Found 5329 Ke2 candicates 10

2003 data: MC simulation Full Geant3 based simulation of the detector response Difference in acceptance: D(RK)=1.116 ± 0.002(stat) ± 0.006(syst) Logarithmic scale Radiative corrections Eg (CM) SD Eg (CM) IB D(RK)=1.063 ± 0.005 11

2003 data: Background in Ke2 Missing mass vs track momenum Km2 Ke2 Dominant background is Km2 Background events: 659 ± 26 Signal events: 4670 ± 77(stat)+29-8(syst) 12

2004 data Dedicated data taking period: 60 GeV kaon beam with diminished intensity No Level-2 trigger using only minimum bias triggers Simpler selection better control of the systematics Analysis performed in momentum bins Better background subtraction Efficiency: ~100% (Gev/c2)2 Deposited energy GeV Sample with similar statistics as in 2003 13

Results Standard Model (theory) PDG NA48: 2003 data NA48: 2004 data ( 2.472 ± 0.001) * 10-5 ( 2.45 ± 0.11 ) * 10-5 ( 2.416 ± 0.043 ± 0.024) * 10-5 in progress SM prediction NA48 measurement is already two times more precise than the world average 14

Conclusion K± l±n decays provide a very challenging opportunity to search for physics beyond the Standard Model Preliminary result for RK based on 2003 data sample presented 2004 data analysis very advanced A sub-percent precision measurement of RK will allow to probe for New Physics or rule out regions in the parameters space in different models 15