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Flavor Mixing of Quarks and Neutrinos

Flavor Mixing of Quarks and Neutrinos. H. Fritzsch LMU Munich. W. Pauli: 1930  Neutrino mass ~ m(e). 1956: maximal parity violation neutrinos massless. 1998: Y. Totsuka … (Kamioka)  neutrino oscillations. neutrinos  massive. -. texture zero

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Flavor Mixing of Quarks and Neutrinos

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  1. Flavor Mixing of Quarks and Neutrinos H. Fritzsch LMU Munich

  2. W. Pauli: 1930  Neutrino mass ~ m(e)

  3. 1956:maximal parityviolationneutrinosmassless

  4. 1998: Y. Totsuka … (Kamioka)  neutrino oscillations neutrinos massive

  5. - texturezero massmatrices  neutrinomasses V(e3) …

  6. - - III 2 families flavor mixing II I

  7. (Cabibbo angle)

  8. mass matrices texture 0 H. Fritzsch S. Weinberg 1978 u,c - d,s ( beyond Standard Model )

  9. texture zero: SU(2) x SU(2) x U(1) Reflection symmetries (~parity)

  10. Grand Unification SO (10)

  11. - ==> mass matrix

  12. - mixing angles <=> masses

  13. Cabibbo angle

  14. Cabibbo angle Exp.: phase 90 degrees ( symmetry ! )

  15. III II I

  16. - flavor mixing => CKM - matrix: three angles - one phase

  17. CKM matrix standard parametrization

  18. New parametrization: Fritzsch / Xing

  19. - texture zeros:

  20. -

  21. - and can be measured separately.

  22. SLAC DESY KEK FNAL CERN

  23. - theory:

  24. - theory:

  25. theory - x x theory -

  26. - unitarity triangle

  27. - - - 0 0 alpha: 86 ... 95

  28. Cabibbo angle unitarity triangle (rectangular)

  29. unitaritytriangle:

  30. - maximal CP-violation

  31. Neutrinos

  32. neutrino mixing matrix

  33. - V = U x P V = U x P

  34. - V = U x P H. F., Z. Xing

  35. Kamiokande, SNO

  36. Theory: 3 texture zeros ( charged leptons and neutrinos )

  37. Observation: weak mass hierarchy for neutrinos

  38. ==> neutrino masses fixed

  39. result: 0.05 eV - 0.01 eV 0.01 eV 0.005 eV - -

  40. m(1) = ( 0.004 +/- 0.0012 ) eVm(2) = ( 0.011 +/- 0.002 ) eVm(3) = ( 0.051 +/- 0.007 )eV normal mass hierarchy ( no inversion )

  41. Masses (relative)

  42. weak mass hierarchy for neutrinos  large mixing angles

  43. Neutrino Mixing Matrix: <=====

  44. -

  45. - prediction: -

  46. Chooz Maas detector

  47. present limit from CHOOZ: V(e3) < 0.2 expected: 0.05

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