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Toyota National College of Technology A.Takamura Collaboration with K.Kimura and T.Yoshikawa

DPF2006+JPS2006. New Index of CP Phase Effects and Screening in Long Baseline Neutrino Experiments. 10/29-11/3 at Honolulu. Toyota National College of Technology A.Takamura Collaboration with K.Kimura and T.Yoshikawa. Outline of this talk.

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Toyota National College of Technology A.Takamura Collaboration with K.Kimura and T.Yoshikawa

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  1. DPF2006+JPS2006 New Index of CP Phase Effects and Screening in Long Baseline Neutrino Experiments 10/29-11/3 at Honolulu ToyotaNationalCollegeofTechnology A.Takamura Collaboration with K.Kimura and T.Yoshikawa

  2. Outline of this talk Review of neutrino oscillation and CP asymmetry Inequality for magnitude of CP violation New index instead of CP asymmetry Main result Maximal condition for new index gives strong constraint

  3. Future Superbeam Neutrino Factory Long baseline experiments Remark Precious measurement of these small parameters is very important to discover CP violation Two small parameters Review of neutrino oscillation physics Present Atmospheric Neutrino Solar Neutrino CHOOZ

  4. Some problems CP asymmetry as an index of CP violation CP asymmetry It is widely used in the analysis of magnitude of CP violation Remark We introduce a new index for CP violation to improve these problems

  5. Next explanation Review of neutrino oscillation and CP asymmetry Inequality for magnitude of CP violation New index instead of CP asymmetry Main result Maximal condition for new index gives strong constraint

  6. Inequality for magnitude of CP violation Two small parameters Golden measurement at a neutrino factory Nuclear Physics B579 (2000) 17-55 A. Cervera et. Al. Double expansion formula CP inequality Solar-Atmospheric condition

  7. General feature CP inequality Maximum of CP dependent term cannot be larger than CP independent term for arbitrary CP phase Remark Proof of CP inequality in more general

  8. Next explanation Review of neutrino oscillation and CP asymmetry Inequality for magnitude of CP violation New index instead of CP asymmetry Main result Maximal condition for new index gives strong constraint

  9. New index on CP phase effect New index instead of CP asymmetry Max and Min of probability New index by coefficients CP inequality CP asymmetry is an index to study the difference of and New index is to determine the value of CP phase Remark

  10. Region that new index takes large value Solar-Atmospheric condition Wide region Parameter set that satisfies Solar-Atmospheric condition Remark Solar-Atmospheric condition guarantees wide region with large index

  11. Next explanation Review of neutrino oscillation and CP asymmetry Inequality for magnitude of CP violation New index instead of CP asymmetry Main result Maximal condition for new index gives strong constraint

  12. Consideration in T2K Experiment T2K experiment Probability Large cancellation T2K experiment takes large value for Index Zero probability does not always mean the small 1-3 mixing angle. Remark

  13. Numerical estimation of appearance signal Appearance signal in T2K and T2HK experiments Screening condition T2K for 5 years GLoBES software http://users.physik.tu-muenchen.de/globes/ T2HK for 2 years Conclusion CP phase becomes around 135 degree, the contribution from 1-3 mixing angle is screened by that from CP phase

  14. Total allowed range Remark The screening condition gives strong constraint even if uncertainties remain Merit by screening condition Uncertainties of Atmospheric parameters

  15. Summary New index Maximal condition Wide region Zero Probability Future works Application to other channels and other parameters

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