Hisakazu Minakata PUCRio PUCRio where June 13 2013 RENO50KNRCSeoul Maracana June 13 2013 RENO50KNRCSeoul All the angles are measured lepton CP phase d left n a U a i ID: 760199
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Slide1
Precision measurement of mixing angles and CP
Hisakazu MinakataPUC-Rio
Slide2PUC-Rio, where?
June 13, 2013
RENO50@KNRC-Seoul
Maracana
Slide3June 13, 2013
RENO50@KNRC-Seoul
All the angles are measured !lepton CP phase d left
na=Uai ni
solar+KamLAND
SK-atm+MINOS+T2K
T2K-MINOS-DC-DB-RENO
Slide4June 13, 2013
RENO50@KNRC-Seoul
q12
Slide5q12 has been measured by solar and KamLAND experiments
June 13, 2013
RENO50@KNRC-Seoul
KamLAND
Mar. 2013
Slide6q12
sin2q12 = 0.304 +/- 0.013Error of sin2q12 = 4.3%Error of Dm221 = 2.4%
June 13, 2013
RENO50@KNRC-Seoul
KamLAND
Mar.2013
Slide7June 13, 2013
RENO50@KNRC-Seoul
How to improve q12?
Slide8SADO idea/proposal (July 2004)
“SADO” = Several tens of km Antineutrino DetectOr Basic idea: 1st oscillation minima of Pee is the right place for precision measurement of q12
June 13, 2013
RENO50@KNRC-Seoul
HM-
Nunokawa-
Teves
-Zukanovich
Funchal
,
ArXiv
0407326 PRD(2005)
Slide9Optimal distance estimated as 50-60 km
June 13, 2013
RENO50@KNRC-Seoul
Without geo-nu 40km would be fine
Slide10SADO-vs KamLAND sensitivity
June 13, 2013
RENO50@KNRC-Seoul
SADO 3
s sensitivity ~ KamLAND 1s sensitivity
Slide11June 13, 2013
RENO50@KNRC-Seoul
Solar+KamLAND and SADO are good competitors
Tuned reactor may have better sensitivity with long-run because tuning L is powerful
2% (1
s) in sin2q12 reachable with systematic error of 4%
Bahcall-Pena-Garay
Slide at World Physics Summit @Galapagos, June 22-25, 2006
Slide12Quark-Lepton Complementarity
June 13, 2013
RENO50@KNRC-Seoul
Bi-maximal mixing from
neutrinos
Predicted value of
q13 in this model agrees well with experiments ! Large q13 natural in QLC
HM-A.Smirnov PRD 2004
QLC is based on observation: q12 + qC = p/4
Slide13Impressive to see the real proposals today!
June 13, 2013
RENO50@KNRC-Seoul
Sin
2
q12 error: RENO ~ 1% (K.K.Joo) Daya Bay II 0.63% claimed! (Yifang Wang), Talk both at ICRR)
Daya
Bay II
Slide14June 13, 2013
RENO50@KNRC-Seoul
q13
Slide15q13: RENO
If added quadrature, sin22q13 = 0.1 +/- 0.018sin2q13 = 0.0257 +/- 0.0048Error of sin2q13 = 19%
June 13, 2013
RENO50@KNRC-Seoul
Slide16q13: Daya Bay
If added quadrature, sin22q13 = 0.089 +/- 0.011sin2q13 = 0.0228 +/- 0.0029Error of sin2q13 = 13%
June 13, 2013
RENO50@KNRC-Seoul
Slide17How to improve q13?
Continued running of reactor experimentsCan 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
June 13, 2013
RENO50@KNRC-Seoul
Memory of Lev
Mikaelyan
@
Kurchatov
Inst.
Slide18Ultimate error of q13?
June 13, 2013
RENO50@KNRC-Seoul
Daya
Bay ultimate (syst. only)
P. Coloma
etal. JHEP12
D
(sin
2
q
) / sin
2
q
= (1.6-2.0)
(
Dq
/
q
)
Slide19June 13, 2013
RENO50@KNRC-Seoul
Least accurately measured angle q23
Slide20q23: mixing angle with the largest error of 10-20% level
June 13, 2013
RENO50@KNRC-Seoul
Concha
etal
. JHEP 2012
Slide21Error of q23 is large because ..
Jacobian effect:Octant degeneracy + exp. uncertainty merging of clone solution to true one
June 13, 2013
RENO50@KNRC-Seoul
HM-
Sonoyama-Sugiyama PRD 2004
Slide22June 13, 2013
RENO50@KNRC-Seoul
How to measure q23 accurately?
Slide23June 13, 2013
RENO50@KNRC-Seoul
Use solar term or R+A to solve q23 octant degeneracy
T2K-II + phase II reactor
T2KK
d
=0 assumed
sin
2
2
q13
sin2 q23
sin2 2q13
> 3
s
2~3s
T2KK 2
s
(rough)
T2KK has better sensitivity
at sin
2 2q13 < 0.06~0.07 .
hep-ph/0601258
Hiraide etal. PRD2006
Kajita
etal
. PRD2007
Slide24Use atmospheric neutrino to probe solar n oscillation
June 13, 2013
RENO50@KNRC-Seoul
Hyper-K LOI :
ArXiv 1109.3262
Barger
etal
.
PRL 2012
Slide25June 13, 2013
RENO50@KNRC-Seoul
Toward measuring d
Slide26How to measure CP
nm superbeam appears to be the prime candidateT2KK CP sensitivity ~ T2HK CP sensitivity
June 13, 2013
RENO50@KNRC-Seoul
Slide27Determination 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 hierarchyRight framework? NO! Better setting: simultaneous d – q23 determination
June 13, 2013
RENO50@KNRC-Seoul
People were focused
on another cosmos ..
Slide28Why q23 relevant for CP?
In precision era for CP the errors of d will be dominated by uncertainty of s223D sind =D cosd =
June 13, 2013
RENO50@KNRC-Seoul
For a given set of (P, P-bar) with finite error, a change in s
2
23 can be compensated by adjusting d
Error formula for CP d h = order unity
HM-Parke,
ArXiv
1303.6178
Slide29June 13, 2013
RENO50@KNRC-Seoul
A new method for q23 and d
Slide30Simultaneous q23– d determination
June 13, 2013
RENO50@KNRC-Seoul
For a given set of (P, P-bar) there are 2x2=4 solutions of
q23 and d
What you need is to switch q13 q23 everything goes through as in (q13-d) case
Slide311st Oscillation maximum
June 13, 2013
RENO50@KNRC-Seoul
Things are much simpler in oscillation maximum
Slide321st Oscillation maximum (continued)
June 13, 2013
RENO50@KNRC-Seoul
HM-Parke,
ArXiv
1303.6178
Slide33Use ne appearance channel
simultaneous d – q23 determination by ne and ne-bar appearance channelsq23 intrinsic degeneracy
June 13, 2013
RENO50@KNRC-Seoul
Slide34Breaking q23– d degeneracy
June 13, 2013
RENO50@KNRC-Seoul
At 1
st
VOM
Spectrum information must solve the degeneracy!
Off 1st VOM
Hyper-K: DE= +/- 10%:
LBNE
:
D
E= +/- 20%:
Slide352nd vacuum oscillation maximum
June 13, 2013
RENO50@KNRC-Seoul
At 2nd VOM, D=3p/2
D
E= +/- 3%:
M
ovement of clone solution is more prominent at 2
nd
VOM
Slide36Conclusion
Current status of mixing angle measurement outlinedSome 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!
June 13, 2013
RENO50@KNRC-Seoul