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Improving Precision Measurement of Mixing Angles and CP Phases in Neutrino Physics

Explore advancements and proposals to enhance accuracy in measuring neutrino mixing angles and CP phases, crucial for understanding neutrino oscillations and CP violation. Discover optimal distances, sensitivities, and implications for reactor experiments and accelerator measurements.

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Improving Precision Measurement of Mixing Angles and CP Phases in Neutrino Physics

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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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