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Precision measurement of mixing angles and CP

Precision measurement of mixing angles and CP. Hisakazu Minakata PUC-Rio. PUC-Rio, where?. Maracana. n a = U a i n i. All the angles are measured !lepton CP phase d left. SK-atm+MINOS+T2K. T2K-MINOS-DC-DB-RENO. solar+KamLAND. q 12.

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Precision measurement of mixing angles and CP

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  1. Precision measurement of mixing angles and CP Hisakazu Minakata PUC-Rio

  2. PUC-Rio, where? Maracana RENO50@KNRC-Seoul

  3. na=Uaini All the angles are measured !lepton CP phase d left SK-atm+MINOS+T2K T2K-MINOS-DC-DB-RENO solar+KamLAND RENO50@KNRC-Seoul

  4. q12 RENO50@KNRC-Seoul

  5. q12 has been measured by solar and KamLAND experiments KamLAND Mar. 2013 RENO50@KNRC-Seoul

  6. q12 • sin2q12 = 0.304 +/- 0.013 • Error of sin2q12 = 4.3% • Error of Dm221 = 2.4% KamLAND Mar.2013 RENO50@KNRC-Seoul

  7. How to improve q12? RENO50@KNRC-Seoul

  8. 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) RENO50@KNRC-Seoul

  9. Optimal distance estimated as 50-60 km Without geo-nu 40km would be fine RENO50@KNRC-Seoul

  10. SADO-vsKamLAND sensitivity SADO 3s sensitivity ~ KamLAND 1s sensitivity RENO50@KNRC-Seoul

  11. 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 RENO50@KNRC-Seoul

  12. 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 RENO50@KNRC-Seoul

  13. 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) RENO50@KNRC-Seoul

  14. q13 RENO50@KNRC-Seoul

  15. q13:RENO • If added quadrature, sin22q13 = 0.1 +/- 0.018 • sin2q13 = 0.0257 +/- 0.0048 • Error of sin2q13 = 19% RENO50@KNRC-Seoul

  16. q13:Daya Bay • If added quadrature, sin22q13 = 0.089 +/- 0.011 • sin2q13 = 0.0228 +/- 0.0029 • Error of sin2q13 = 13% RENO50@KNRC-Seoul

  17. 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. RENO50@KNRC-Seoul

  18. Ultimate error of q13? D(sin2q) / sin2q = (1.6-2.0) (Dq / q) P. Coloma etal. JHEP12 DayaBay ultimate (syst. only) RENO50@KNRC-Seoul

  19. Least accurately measured angle q23 RENO50@KNRC-Seoul

  20. q23: mixing angle with the largest error of 10-20% level Conchaetal. JHEP 2012 RENO50@KNRC-Seoul

  21. Error of q23 is large because .. • Jacobian effect: • Octant degeneracy + exp. uncertainty  merging of clone solution to true one HM-Sonoyama-Sugiyama PRD 2004  RENO50@KNRC-Seoul

  22. How to measure q23 accurately? RENO50@KNRC-Seoul

  23. 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 RENO50@KNRC-Seoul sin2 q23

  24. Use atmospheric neutrino to probe solar n oscillation Hyper-K LOI : ArXiv 1109.3262 Barger etal. PRL 2012 RENO50@KNRC-Seoul

  25. Toward measuring d RENO50@KNRC-Seoul

  26. How to measure CP • nmsuperbeam appears to be the prime candidate • T2KK CP sensitivity ~ T2HK CP sensitivity RENO50@KNRC-Seoul

  27. 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 .. RENO50@KNRC-Seoul

  28. 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 RENO50@KNRC-Seoul

  29. A new method for q23 and d RENO50@KNRC-Seoul

  30. 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 RENO50@KNRC-Seoul

  31. 1st Oscillation maximum Things are much simpler in oscillation maximum RENO50@KNRC-Seoul

  32. 1st Oscillation maximum (continued) HM-Parke, ArXiv 1303.6178 RENO50@KNRC-Seoul

  33. Use ne appearance channel • simultaneous d – q23 determination by ne and ne-bar appearance channels • q23 intrinsic degeneracy RENO50@KNRC-Seoul

  34. Breaking q23– d degeneracy At 1st VOM Spectrum information must solve the degeneracy! Off 1st VOM RENO50@KNRC-Seoul Hyper-K: DE= +/- 10%: LBNE: DE= +/- 20%:

  35. 2nd vacuum oscillation maximum At 2nd VOM, D=3p/2 DE= +/- 3%: Movement of clone solution is more prominent at 2nd VOM RENO50@KNRC-Seoul

  36. 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! RENO50@KNRC-Seoul

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