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H. Fritzsch LMU Munich

Neutrino Masses and Flavor Mixing. H. Fritzsch LMU Munich. (Erice - 2009). Neutrino Oscillations. at least 2 neutrinos have a mass. ( masses unknown ). theory:. flavor mixing angles. fermion masses. -. -. III. 2 families. flavor mixing. II. I. mixing of mass eigenstates

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H. Fritzsch LMU Munich

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  1. Neutrino Masses and Flavor Mixing H. Fritzsch LMU Munich (Erice - 2009)

  2. Neutrino Oscillations at least 2 neutrinos have a mass ( masses unknown )

  3. theory: flavor mixing angles fermion masses

  4. - - III 2 families flavor mixing II I

  5. mixing of mass eigenstates by weak interaction (Cabibbo angle)

  6. mass matrices: texture 0 u,c - d,s F., Weinberg 1978 (beyond Standard Model)

  7. texture zero: SU(2) x SU(2) L R Reflection symmetries (~parity) ===> Grand Unification -SO(10)

  8. Relations between masses and mixing angles

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

  10. Cabibbo angle \

  11. - 3 families III flavor mixing II I

  12. Mixing for three families CKM matrix: 3 angles, 1 phase F. and Xing

  13. The angles and can be measured separately.

  14. Theory: 3 texture zeros

  15. theory:

  16. theory: -

  17. theory:

  18. theory: -

  19. unitarity triangle

  20. Flavor-Symmetries, Flavor-Mixing, Neutrino Masses and Neutrino Mixing H. Fritzsch LMU / MPI Munich (~rectangular triangle)

  21. - - - 0 0 alpha: 86 ... 95

  22. Cabibbo angle Unitarity triangle (rectangular)

  23. maximal CP-violation

  24. Neutrinos

  25. Kamioka Ewigkeit ist lang, speziell gegen dem Ende zu. W.A.

  26. - - Yoji Totsuka

  27. SNO Sudbury Neutrino Observatory Canada

  28. S N O charged current and neutral current

  29. Kamiokande, SNO neutrino mass differences ( absolute masses unknown)

  30. neutrino masses What type of mass term? How big or small are masses? How big are the mixing angles? Relations among angles and masses?

  31. Neutrino Masses: Mass terms for charged leptons and neutrinos are not parallel  Neutrino Mixing ( Pontecorvo ,1957... ==>)

  32. B. Pontecorvo (1913 - 1993)

  33. neutrino mixing matrix: (like CKM Matrix)

  34. V = U x P

  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) = 0.0036 … 0.0059 eVm(2) = 0.0085 … 0.0140 eVm(3) = 0.044 … 0.058 eV normal hierarchy (not inverted)

  41. Masses (relative)

  42. Neutrino masses less hierarchical than the masses of the charged leptons

  43. Neutrino Mixing Matrix: <===== not 0

  44. Chooz Maas

  45. present limit from CHOOZ: V(e3) < 0.1

  46. prediction: - - - -

  47. Daya Bay

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