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Measuring CP violating phase from long baseline neutrino experiments. Naotoshi Okamura (YITP, Kyoto Univ.) ICFP2005 Oct. 07, ’05 @ NCU. plan. short review until now between CP phase and the others 8 fold ambiguity effect of matter delete, 3m : mixing, mass, matter how to delete
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Measuring CP violating phase from long baseline neutrino experiments Naotoshi Okamura (YITP, Kyoto Univ.) ICFP2005 Oct. 07, ’05 @ NCU
plan • short review • until now • between CP phase and the others • 8 fold ambiguity • effect of matter • delete, 3m : mixing, mass, matter • how to delete • Yet Another Problem, error • one example • summary
neutrino masses m1 m2 m3 flavor mixing angles 12 23 13 CP phase Majorana phases 1 2 parameters (3flavor) neutrino physics 7/9 parameters neutrino oscillation 6 parameters • squared-differences • m212m213(m23-m21) • flavor mixing angles • 12 23 13 • CP phase • • Majorana phases • nothing
until today • Solar Neutrino (SK, SNO, KamLAND(reactor)) • e! e (anti-e! anti-e) • Atmospheric Neutrino (SK, K2K(LBL)) • !(anti-! anti- ) • Reactor Neutrino (CHOOZ, PaloVarde) • anti-e! anti-e Discard : LSND only survival probability & 2-flavor analysis even function of and m2
mass squared difference MNS matrix independent parameters relation to experiments notations
categorize full 100% (12<45) (>0) solar, matter effect helps (23<>45) (<>0) half 50% atmospheric, even function non 0% (<0.16) (no) unknown, will be measured
unobserved parameters 2 fold ambiguity sign of m213 2 fold ambiguity value of 23 (octant) 2 fold ambiguity 3 ambiguity “best fit” is 23 =45 : no octant ambiguity
CP phase and mixing combination of mixing angles and CP phase flavor changing case P(!e) : realistic mode in near future. Ue3 : unknown, important to measure CP phase
CP phase vs. mixing angles combination of mixing angles and CP phase e.g. 0.16 0.10 L = 295 km, without matter effect If we do not know the value of 13, we cannot determine the CP phase.
even odd CP phase and mass hierarchy e combination of “sign of13” and “cos ”
CP phase and matter Disturbed by the matter effect. Combination of mixing angles and CP phase. Mixing angles are changed by matter effect. If we do not know the matter profile correctly, we cannot estimate the CP phase, correctly.
matter effect disturb CP phase and the others
mixing angle flavor conserving case insensitive : slightly depend on CP phase, via MNS elements. P(e!e) : independent of CP Reactor experiments are independent of CP phase KASKA, DayaBay, Double Chooz, and so on.
A>>B mass hierarchy 1 matter effect helps us
mass hierarchy 2 We can determine mass hierarchy independently, if matter effect is large. When L/E is fixed at oscillation maximum, L>1000 km : matter effect term dominate L<1000 km : CP phase term dominate
CERN J-PARC FNAL neutrino world J-PARC – SK ( 300km) and – Korea (1000km)
matter effect • matter effect disturbs CP phase measurement. • helps to determine the mass hierarchy. • makes difference between and anti- . If we know the matter profile “precisely”, matter effect will not be a big problem. Cheer UP!! Geologist !!
CP phase and the others reactor 1000km matter effect disturb Geologist
Japan && Korea»one example» way to CP phase hep-ph/0504061, with K.Hagiwara, K.i.Senda
50 GeV Proton Synchrotron 1021 POT/year Intensity of neutrino O(2) higher than K2K 50Kton water Cherenkov detector fiducial volume : 22.5Kton good e/ identification cannot measure the charge Tokaimura-to-Kamioka (T2K) • J-PARC (http://j-parc.jp/index.html) • SK (http://www-sk.icrr.u-tokyo.ac.jp/index.html) L=295 km
Super-K J-PARC S-Korea Neutrinos will go to Korea OAB : cone, umbrella L=295km, =2.0-3.0 L=1000-1200km, =1.0-4.0 2.5@SK
3.0@SK today’s choice for hierarchy, angle and place. true : “normal” fit : “inverted” true : sin2213= 0.1 free : fit = 0.0 free
two distance is better than one SK only Korea only Combine BAD SO,SO GOOD true : sin2213 = 0.06, CP : n£90o fit : sin2213 = horizontal, CP : freely • SK only • bad • no matter • Korea only • not bad • w/o reactor, difficult • Combine • Better !!
CP phase Ue3:freely normal hierarchy We can determine CP phase more, if Ue3 is measured.
summary • CP Phase vs. 3m • mixing angles, mass hierarchy, matter effect • mixing angle (Ue3:unkown) • reactor experiment • mass hierarchy • 1000km is turning distance. • matter effect • not so bad guy. helps us. • Cheers UP!! Geologist !! • Japan-Korea experiment !e and !
Thank you for your attention