Takaaki Kajita ICRR, Univ. of Tokyo Work done with S.Nakayama, Y.Obayashi, K.Okumura, M.Shi ozawa NNN05 workshop, Aussois, Savoie, France, Apr il 2005
Mar 18, 2016
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