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Toyota National College of Technology A.Takamura Collaboration with K.Kimura and H.Yokomakura

ICFP 2005. Enhancement of CP Violating terms for Neutrino Oscillation in Earth Matter. 10/6 at National Central University. Toyota National College of Technology A.Takamura Collaboration with K.Kimura and H.Yokomakura. Mantle-core effect in Earth matter. General feature of CP dependence.

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Toyota National College of Technology A.Takamura Collaboration with K.Kimura and H.Yokomakura

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  1. ICFP 2005 Enhancement of CP Violating terms for Neutrino Oscillation in Earth Matter 10/6 at National Central University ToyotaNationalCollegeofTechnology A.Takamura Collaboration with K.Kimura and H.Yokomakura

  2. Mantle-core effect in Earth matter General feature of CP dependence Main result Enhancement of CP violating terms due to mantle and core Outline of this talk Introduction to neutrino oscillation

  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 Introduction to Neutrino Oscillation Present Atmospheric Neutrino Solar Neutrino CHOOZ

  4. Matter density along neutrino path Earth matter density can be approximated by three constant layers (mantle-core-mantle) in L=12000km Matter density is almost constant in L<5000 km Remark Matter Density Profile of the Earth Preliminary Reference Earth Model Analysis of matter effect in long baseline experiments

  5. Outline of this talk Introduction to neutrino oscillation Mantle-core effect in Earth matter General feature of CP dependence Main result Enhancement of CP violating termsdue to mantle and core

  6. Three layers Mantle MSW term Core MSW term Mantle-core term Mantle-core term is caused by the interference between mantle and core Remark Mantle-core effect M. V. Chizhov and S. T. Petcov,Phys. Rev. D63 (2001) 073003 E. Kh. Akhmedov, A. Dighe, P. Lipari and A. Yu. SmirnovNucl. Phys. B542 (1999) 3 Interference phenomenonbetween mantle and core Two generations

  7. Mantle-core effect Core MSW effect Mantle MSW effect Solid, dashed, dash-dotted and dotted lines show probability, square of mantle, core, mantle-core terms, respectively Remark Mantle-core effect can be larger than MSW effect Numerical study of mantle-core effect

  8. Outline of this talk Introduction to neutrino oscillation Mantle-core effect in Earth matter General feature of CP dependence Main result Enhancement of CP violating termsdue to mantle and core

  9. General relation Simple CP dependence Remark CP dependence on probability is simple in arbitrary matter General feature of Hamiltonian Three generations Standard parametrization

  10. Remark Two amplitudes can be approximated by those in the vanishing limit of small parameter Approximation of two amplitudes

  11. Vanishing limit of Vanishing limit of Two amplitudes can be approximated by those in two generations Remark Low and High Energy Hamiltonians

  12. Outline of this talk Introduction to neutrino oscillation Mantle-core effect in Earth matter General feature of CP dependence Main result Enhancement of CP violating termsdue to mantle and core

  13. Mantle-core effect Mantle-core effect Mantle MSW Core MSW Core MSW Mantle MSW Mantle MSW Mantle-core effect CP violating effects due to A and Bbecome large and can reacha few 10% of C Core MSW Mantle-core effect seems to appear in CP violating terms, although effect is weakened Remark Mantle-core effect of CP depending terms

  14. Three layers similarly Two generation approximation makes calculation easy Remark Application of three layer approximation

  15. High energy region Remark Low energy function is simple in high energy region Application of High energy approximation Approximate formula

  16. Mantle-core effect Mantle-core effect Mantle-core effect The mantle-core effect, which is different from the usual MSW effect, appears not only in C but also in A and B, although the effect is weakened Conclusion Conclusion Mantle-core term

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