Takaaki KajitaICRR, Univ. of TokyoWork done with S.Nakayama, Y.Obayashi, K.Okumura, M.Shiozawa NNN05 workshop,Aussois, Savoie, France, April 2005
Detector and assumption 48m54m250mDetector: Hyper-Kamiokande The performance of the Hyper-K detector is assumed to be identical to Super-K.Fiducial mass = 0.54 Mton
Search for non-zero q13Electron appearance in the multi-GeV upward going events. En(GeV)cosqzenith s213=0.05 s213=0.00 null oscillation0.45 MtonyrElectron appearance1+multi-ring, e-like, 2.5 - 5 GeVMatter effectcosqzenith(Dm122=0 assumed)
Binning for this analysis (= 3flavor analysis in SK)EnSingle-Ring mMulti-Ring mUp-stopUp-through37 momentum bins x 10 zenith bins = 370 bins in totalMulti-Ring eSingle-Ring ePC-stopPC-through10 zenith angle bins for each box.Small number of events per binPoisson statistics to claculate c2 with 44 systematic error termsMulti-GeVSub-GeVCC neCC nm(or slightly smaller number of bins for some analyses)
Statistical significance for non-zero q13450 ktonyr = 0.8yr HK Dm232 ; positive assumed 3s3s3sImportance of s2q23>0.5; S.Pascoli et al., hep-ph/0305152(Dc2 is approximately proportional to the exposure)
Sign of Dm2 ?Single-ring e-likeMulti-ring e-like Positive Dm2 Negative Dm2 null oscillationcosQcosQRelatively high anti-ne fractionRelatively high ne fraction Dm2=0.002eV2 s2q23 = 0.5 s2q13 = 0.05(0.45 Mtonyr)If Dm232 is positive, resonance for neutrinosIf Dm232 is negative, resonance for anti-neutrinos
c2 difference (inverted-normal)Dm2: fixed, q23: free, q13: freeExposure: 1.8Mtonyr (HK = 3.3 yr)3s3s3sTrue= normal mass hierarchy assumed.
c2 difference (normal inverted)Dm2: fixed, q23: free, q13: freeExposure: 1.8Mtonyr (HK =3.3 yr)3s3s3sTrue= inverted mass hierarchy assumed.
Expected oscillation with solar terms (1) s22q12=0.825 Dm212=8.310-5 Dm223=2.510-3sin2q13=0Because of the LMA solution, atmospheric neutrinos should also oscillate by (q12, Dm122).Peres & Smirnov NPB 680 (2004) 479
Expected oscillation with solar terms (2)In addition, we may have non-zero q13. s22q12=0.825 Dm212=8.310-5 Dm223=2.510-3(always assumed later in this talk)
Discrimination between q23 >p/4 and p/4 and p/4 and 0.04.sin2q23sin2q23sin2q13sin22q23=0.96sin22q23=0.9990%CL90%CLTest pointFit result
Effect of dCP in atmospheric neutrino data no osc. with 80yrs stat.error dCP= 45o 135o 225o 315o s22q12=0.825 s2q23=0.5 s2q13=0.04 Dm212=+8.3e-5 Dm223=+2.5e-3Mutli-GeV, multi-ring e-likee-like (3 flavor) / e-like (no-osc)cosqzenithq13 effectCP effect
Sensitivity to dcp1.8 Mtonyr ~ 3.3yrs HKCP phase could be seen if q13 is close to the CHOOZ limit.sin2q13=0.04sin2q13=0.02sin2q13=0.01 s22q12=0.825 s2q23=0.5 s2q13=0.01~0.04 Dm212=+8.3e-5 Dm223=+2.5e-3sin2q130.10.10.1000Test (d, q13) point0 p 2p0 p 2p0 p 2p0 p 2pCP phase d90%CL99%CL
End
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