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Precision measurement of mixing angles and CPPowerPoint Presentation

Precision measurement of mixing angles and CP

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na=Uaini

All the angles are measured !lepton CP phase d leftSK-atm+MINOS+T2K

T2K-MINOS-DC-DB-RENO

solar+KamLAND

SADO idea/proposal (July 2004)

- “SADO” = Several tens of km AntineutrinoDetectOr
- Basic idea: 1st oscillation minima of Pee is the right place for precision measurement of q12

HM-Nunokawa-Teves-ZukanovichFunchal,

ArXiv 0407326 PRD(2005)

Solar+KamLANDand SADO are good competitors

2% (1s) in sin2q12 reachable with systematic error of 4%

- Tuned reactor may have better sensitivity with long-run because tuning L is powerful

Bahcall-Pena-Garay

Slide at World Physics Summit @Galapagos, June 22-25, 2006

Quark-Lepton Complementarity

QLC is based on observation: q12 + qC = p/4

Bi-maximal mixing from neutrinos

HM-A.Smirnov PRD 2004

Predicted value ofq13in this model agrees well with experiments ! Large q13 natural in QLC

Impressive to see the real proposals today!

Daya Bay II

Sin2q12 error:

RENO ~ 1% (K.K.Joo)

Daya Bay II 0.63% claimed! (Yifang Wang), Talk both at ICRR)

q13:RENO

- If added quadrature, sin22q13 = 0.1 +/- 0.018
- sin2q13 = 0.0257 +/- 0.0048
- Error of sin2q13 = 19%

q13:Daya Bay

- If added quadrature, sin22q13 = 0.089 +/- 0.011
- sin2q13 = 0.0228 +/- 0.0029
- Error of sin2q13 = 13%

How to improve q13?

- Continued running of reactor experiments
- Can accelerator measurement supersade reactor q13 accuracy? If yes, when?
- What is the ultimate error of q13 ?
- If sin22q13 = 0.1 +/- 0.005 5% error for sin2q13
- Is 2-3% error achievable for sin2q13 ?
- Neutrino factory?
- Reactor + identical 2 detector appears to be practically the best way

Memory of Lev Mikaelyan @ Kurchatov Inst.

Ultimate error of q13?

D(sin2q) / sin2q = (1.6-2.0) (Dq / q)

P. Coloma etal. JHEP12

DayaBay ultimate (syst. only)

Error of q23 is large because ..

- Jacobian effect:
- Octant degeneracy + exp. uncertainty merging of clone solution to true one

HM-Sonoyama-Sugiyama PRD 2004

How to measure q23 accurately?

Use solar term or R+A to solve q23 octant degeneracy

Hiraideetal. PRD2006

d=0 assumed

T2K-II + phase II reactor

T2KK

sin2 2q13

T2KK 2s

(rough)

> 3s

2~3s

sin2 2q13

hep-ph/0601258

T2KK has better sensitivity

at sin2 2q13 < 0.06~0.07 .

Kajitaetal. PRD2007

sin2 q23

Use atmospheric neutrino to probe solar n oscillation

Hyper-K LOI : ArXiv 1109.3262

Barger etal. PRL 2012

How to measure CP

- nmsuperbeam appears to be the prime candidate
- T2KK CP sensitivity ~ T2HK CP sensitivity

Determination of d in correlation with q13?

- So far CP d measurement has been discussed in a framework of simultaneous d – q13 determination intrinsic d - q13 degeneracy enriched with unknown mass hierarchy
- Right framework? NO! Better setting: simultaneous d – q23 determination

People were focused on another cosmos ..

Why q23 relevant for CP?

- In precision era for CP the errors of d will be dominated by uncertainty of s223
- D sind =
- D cosd =

Error formula for CP dh = order unity

HM-Parke, ArXiv 1303.6178

For a given set of (P, P-bar) with finite error, a change in s223 can be compensated by adjusting d

A new method for q23 and d

Simultaneous q23– d determination

What you need is to switch q13 q23 everything goes through as in (q13-d) case

For a given set of (P, P-bar) there are 2x2=4 solutions of q23 and d

Use ne appearance channel

- simultaneous d – q23 determination by ne and ne-bar appearance channels
- q23 intrinsic degeneracy

Breaking q23– d degeneracy

At 1st VOM

Spectrum information must solve the degeneracy!

Off 1st VOM

Hyper-K: DE= +/- 10%:

LBNE: DE= +/- 20%:

2nd vacuum oscillation maximum

At 2nd VOM, D=3p/2

DE= +/- 3%:

Movement of clone solution is more prominent at 2nd VOM

Conclusion

- Current status of mixing angle measurement outlined
- Some ideas seeking for better precision discussed
- Further improvement appear realistic for q12(new projects) and q13 (continue running), but may not be for q23 at near maximal, because…
- Fortunately, if you measure d, then you automatically get q23!

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