1 / 64

H. Fritzsch LMU Munich

Flavor Mixing and Neutrino Masses. H. Fritzsch LMU Munich. mixing of mass eigenstates by weak interaction. (Cabibbo angle). mass matrices:. texture 0. u,c - d,s. F., Weinberg. (beyond Standard Model). texture zero:. SU(2) x SU(2). L. R. Reflection symmetries (~parity).

jamescevans
Download Presentation

H. Fritzsch LMU Munich

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Flavor Mixing and Neutrino Masses H. Fritzsch LMU Munich

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

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

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

  5. - - III 2 families flavor mixing II I

  6. Relations between masses and mixing angles

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

  8. Cabibbo angle: ====> exp. data: rectangular

  9. - 3 families III flavor mixing II I

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

  11. The angles and can be measured separately.

  12. Theory: 3 texture zeros

  13. agrees well with experiments

  14. theory:

  15. theory:

  16. unitarity triangle

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

  18. - - - 0 0 alpha: 86 ... 95

  19. Cabibbo angle ====> Unitarity triangle (rectangular)

  20. maximal CP-violation

  21. Neutrinos

  22. Kamioka Ewigkeit ist lang, speziell gegen dem Ende zu. W.A. neutrinos from upper atmosphere

  23. SNO Sudbury Neutrino Observatory Canada

  24. S N O charged current and neutral current

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

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

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

  28. B. Pontecorvo (1913 - 1993)

  29. neutrino mixing matrix: (like CKM Matrix)

  30. Neutrino mixing V=UxP (not measured)

  31. Kamiokande, SNO

  32. same pattern as for quarks

  33. Observation: weak mass hierarchy for neutrinos

  34. ==> neutrino masses fixed

  35. relations between angles and masses:

  36. neutrino masses very small 0.05 eV - 0.01 eV 0.01 eV 0.004 eV - -

  37. m(1) = 0.0036 … 0.0059 eVm(2) = 0.0085 … 0.0140 eVm(3) = 0.044 … 0.058 eV normal hierarchy (not inverted)

  38. Masses (relative)

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

  40. Leptons: ( 4 texture 0 )

  41. ==> atmospheric angle: (ok with exp.)

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

  43. prediction:

  44. Chooz Maas

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

  46. New experiments: Double CHOOZ: 0.06 =>0.008 Daya Bay (China) =>0.03 T 2 K: ==> 0.008

More Related