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q 23 and d can be measured accurately at the same  time

q 23 and d can be measured accurately at the same  time. Hisakazu Minakata PUC -Rio  U. Sao Paulo (with Pilar Coloma & Stephen Parke). n a = U a i n i. All the angles are measured !lepton CP phase d left. T2K-MINOS-DC-DB-RENO. solar+KamLAND. SK-atm+MINOS+T2K.

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q 23 and d can be measured accurately at the same  time

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  1. q23 and d can be measured accurately at the same time Hisakazu Minakata PUC-Rio  U. SaoPaulo (with Pilar Coloma & Stephen Parke)

  2. na=Uaini All the angles are measured !lepton CP phase d left T2K-MINOS-DC-DB-RENO solar+KamLAND SK-atm+MINOS+T2K WIN2013@Natal

  3. New paradigm emerged! WIN2013@Natal

  4. Parameter determination: old paradigm Disappearance measurement determines q23 up to the octant And then, ne and ne-bar appearance measurement determines q13 and dq23 ,q13 and dup to 8-fold parameter degeneracy WIN2013@Natal

  5. But now q13 is measured accurately Daya Bay 2012 RENO 2013 WIN2013@Natal

  6. q12 and q13 • sin2q12 = 0.304 +/- 0.013 • Error of sin2q12 = 4.3% • Error of Dm221 = 2.4% • Error of sin2q13 (Daya Bay) = 9.6% • Error of Dm231 (Daya Bay) ~= 8% • Error of Dm231 (MINOS) ~= 4% KamLAND+solar Mar.2013 WIN2013@Natal

  7. q23 is now the least accurately measured angle WIN2013@Natal

  8. q23: mixing angle with the largest error of 10-20% level Conchaetal. JHEP 2012 WIN2013@Natal

  9. Error of q23is, and will remain large because .. • Jacobian effect: • Octant degeneracy + exp. uncertainty  merging of clone solution to the true one HM-Sonoyama-Sugiyama PRD 2004  WIN2013@Natal

  10. We are in thenew paradigm ! WIN2013@Natal

  11. It is likely that q23 is so large that disappearance measurement does not distinguish q23 octant D (sin2q23) ~ 10-20% D (sin2q13) can go down to 5% WIN2013@Natal

  12. We need a new setting ! • The right framework is then:“given the known value of q13 , determine q23 and d at the same time !” • This is merely a new way of thinking, which must be considered before when reactor measurement of q13 was proposed! HM-S.Parke PRD 2013 Mikaelyan-Sinev 2000, HM-Sugiyama-Yasuda-Inoue-SuekanePRD 2003 WIN2013@Natal

  13. Appearance first: A new way of thinking for q23 and d WIN2013@Natal

  14. Continuous “appearance degeneracy” containing q13and q23 If we consider only appearance measurement continuous degeneracy of q23 and q13 Fixing q23gives “intrinsic q13degeneracy” and vice versa Disappearance measurement yields generally the 2 bands at s223 = sin2qeff + s213/2, s223= cos2qeff+ s213/2, but 2 bands fuse into a single region at near maximal q23 WIN2013@Natal

  15. When q13is measured accurately, the degeneracy becomes “q23 intrinsic degeneracy” Looks similar to q13intrinsic degeneracy, but not quite  same size ellipses More precisely, “q23 intrinsic degeneracy duplicated by the unknown sign of Dm2” WIN2013@Natal

  16. Nature of the degeneracy again “Appearance and disappearance q23 degeneracies” If q23 is far off maximal, accurate measurement of Pem-Pembar determines q23 (including octant) up to intrinsic q23 degeneracy (precision disapp. measurement can solve the degeneracy) If sin2q23 is near maximal, neither appearance measurement nor disappearance measurement (unless extremely precise) determines q23 ! (appearance and disappearancedegeneracies overlap) WIN2013@Natal

  17. 1st vacuum oscillation maximum WIN2013@Natal

  18. 1st Oscillation maximum Things are much simpler in oscillation maximum WIN2013@Natal

  19. 1st Oscillation maximum (continued) Things are much simpler in oscillation maximum HM-S.Parke PRD 2013 WIN2013@Natal

  20. Breaking the q23 degeneracy WIN2013@Natal

  21. Breaking q23– d degeneracy At 1st VOM Spectrum information must solve the degeneracy! Off 1st VOM WIN2013@Natal Hyper-K: DE= +/- 10%: LBNE: DE= +/- 20%:

  22. 2nd vacuum oscillation maximum At 2nd VOM, D=3p/2 DE= +/- 3%: Movement of clone solution is more prominent at 2nd VOM WIN2013@Natal

  23. Appearance vs. disappearance WIN2013@Natal

  24. Interplay between appearance and disappearance measurement T2HK LBNE P.Coloma, HM, S.Parke, in progress WIN2013@Natal

  25. Conclusion • Given the fact that q13 is measured accurately and the error will be much less in near future, a new strategy for determining q23 and dis called for • Correlated simultaneous determination q23 and dby using appearance channels outlined • q23 degeneracy and how to break it discussed • Near maximalq23, we need to understand interplay between appearance and disappearance measurement WIN2013@Natal

  26. Simultaneous q23– d determination What you need is to switch q13 q23 everything goes through as in (q13-d) case except for the “same-size ellipses” For a given set of (P, P-bar) there are 2x2=4 solutions of q23 and d WIN2013@Natal

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