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H. Minakata Tokyo Metropolitan University (TMU). New Views on the Problem of CP Violation. Why do we look for leptonic CP violation?. Lepton-quark correspondence.

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New Views on the Problem of CP Violation

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H minakata tokyo metropolitan university tmu

H. Minakata

Tokyo Metropolitan University (TMU)

New Views on the Problem of CP Violation


Why do we look for leptonic cp violation

Why do we look for leptonic CP violation?

Neutrino Oscillation in Venice Hisakazu Minakata


Lepton quark correspondence

Lepton-quark correspondence

  • Quantum anomaly tells us that leptons and quarks are related with each other in a deeper level=> we want to know if leptonic KM phase is unsuppressed

    “lepton-quark correspondence” in the spirit of Nagoya model (Sakata et al., ‘60th)

Shoichi Sakata

Neutrino Oscillation in Venice Hisakazu Minakata


Leptogenesis

Leptogenesis

  • Lepton # asymmetry generated by Majorana n converted to baryon # asym. by “spharelon”

  • => standard model for baryogenesis?

  • Need CP violating phases

  • Related with leptonic KM phase d ?

(Buchmuller et al.)

(Fukugita-Yanagida ‘86)

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Good old way

Good old way

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Good old way of measuring cpv

Good-old way of measuring CPV

P(nm->ne) = P

P(nmbar->nebar)

= CP[P]

DP =P - CP[P] = nonzero

gives you CP violation

N. Cabibbo …

A useful tool for --> representation: Bi-probability plot H.M. & H. Nunokawa (=MN), JHEP 10 (2001) 001

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D p p cp p sign of d m 2 or cpv

DP =P - CP[P]

= P(nm->ne;Dm2, d, a) -P(nmbar->nebar; Dm2, d, a)

= P(nm->ne;Dm2, d, a) - P(nm->ne;- Dm2, p-d, a)

If P is insensitive to d =>

= P(nm->ne;Dm2) - P(nm->ne;-Dm2) = Dm2-odd

DP measures sign of Dm2 in d-insensitive region

DP measures d in matter-insensitive region

DP =P - CP[P]; sign of Dm2 or CPV?

= P(nm->ne;Dm2, -d, -a)

= P(nm->ne;- Dm2, p-d, a)

(if Dm2solar /Dm2atm << 1)

Low-E superbeam;MN, Sato, Richter, …

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Tv cleanest way of measuring cpv

TV; Cleanest way of measuring CPV

P(nm->ne)=P

P(ne->nm)=T[P]

DPT =P - T[P]

gives you T (=CP under CPT) violation

P = Acosd + Bsind + C

T[P] = Acosd - Bsind + C

DPT =P - T[P] = 2 Bsind

If d = 0 => DPT = 0

Experimentally, it is NOT easy => beta beam!

MN-Parke, hep-ph/0204171

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New ways

New ways

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New ways of measuring cpv

New ways of measuring CPV?

Reactor-LBL combination

BNL strategy with several oscillation maxima (neutrino only)

Its low-energy version?

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Reactor measurement of q 13

Reactor measurement of q13

  • Independent of d, matter effect, q23, q12, solar Dm2

    => Pure measurement of q13

ne disappearance probability

(H.M. Sugiyama, Yasuda, Inoue, Suekane, hep-ph/0211111)

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Reactor lbl combination

Reactor-LBL combination

Principle very simple ! => ne appearance at OM + reactor q13 measurement gives you d

  • JPARC-HK neutrino mode, 2 years (4 MW & 540 kton, s/bg accounted)

  • 50 ton detectors @Kashiwazaki-Kariwa NPP, 1-10 years

  • CP violation can be detected by reactor-LBL combination !

    (H.M. H.Sugiyama,

    hep-ph/0309323 v2 -> PLB)

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Detecting cpv by reactor lbl combination details

Detecting CPV by reactor-LBL combination; details

Realistic sdb crucial in sensitivity estimate in phase II

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Can super k do the job

Can Super-K Do the Job?

In the case of “C-evaluation” by the HK review committee

  • JPARC-SK neutrino mode, 10 years (0.75 MW & 22.5 kton, s/bg accounted)

  • 50 ton detectors @Kashiwazaki-Kariwa NPP, 1-10 years

  • Though less sensitive, SK can do a job !

the only way to detect CPV without HK?

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We must know sign of d m 2 in advance otherwise

We must know sign of Dm2 in advance, otherwise …

This is nothing but Parameter Degeneracy due to sign (Dm2)!

MN, JHEP 10 (2001) 001

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Why so much ambiguity by sign d m 2 degeneracy

Why so much ambiguity by sign-Dm2 degeneracy?

The reason is:

  • Large d2 - d1 (= p/2 ~ p) in overlapping region of different-sign Dm2 ==>

  • CPC-CPV confusion

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Bnl strategy hep ex 0211001

BNL strategy (hep-ex/0211001)

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Jparc hk vs bnl proposal

<=background ?

JPARC-HK vs. BNL proposal

1 s

  • L=295 km/E=0.7 GeV vs. L=2540 km/E=0.5-5GeV

    ==> 1st oscillation maximum vs. 1st-3rd oscillation max.

  • Clean environment for CPV vs. exploring oscillation pattern, sign of Dm213, can prove solar Dm2, can run with only nm

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Low energy version of bnl strategy

Low-energy version of BNL strategy?

  • JPARC accelerator complex funded =>we will have low-energy neutrino superbeam

  • Low-energy beam cannot see 2nd OM because of Fermi motion

  • Depend on Dm2 L/2E => p, 3p means the detectors placed at L and 3L =>

  • 300 km: Kamioka

  • 900 km: Seoul, Korea!

Similar to 2-detector strategy in: MN hep-ph/9706281

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Shooting korea

Shooting Korea

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Bi probability plot for jparc korea

Bi-probability plot for JPARC-Korea

  • Korean detector more important for accurate determination of d (steeper slope)

  • It is hard to determine sign(Dm2) from neutrino run only

  • Mathematically, there is no degeneracy apart from d -> p - d (similar to KMN)

MN to appear =>

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N anti n run at the oscillation maximum reminder

n-antin run at the oscillation maximum (reminder)

In the thinnest ellipse limit (KMN)

  • There is no degeneracy apart from d -> p - d

  • sin22qis the “distance to the origin”

Kajita-MN, hep-ph/0112345

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Conclusion

Conclusion

  • Real alternative togood-old n-antin low-E superbeamdoes not appear to show up yet

  • Reactor-LBL may work but confidence level less than 2 s even with Hyper-K

  • BNL strategy interesting to explore but CP sensitivity less than 1 s=> very long-baseline setting loses statistics

    (in conventional beams)

  • Need to determine sign Dm2,otherwise CPV-CPC confusion

<= the only way to detect CPV without HK?

Low-E version exists but expensive

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Lbl measurement of q 13

LBL measurement of q13

Very simple form !

Very simple form!

JPARC-SK q13 sensitivity; OA2°, 5 years

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Reactor lbl complementarity i

Reactor-LBL complementarity I

  • Pure measurement of q13 by reactors help resolve (q23 --> p/2-q23) degeneracy

  • If lucky, one may see CP & mass hierarchy

(H.M. Sugiyama, Yasuda, Inoue, Suekane, hep-ph/0211111)

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