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

2. weak transitions and weak mixing

3. flavor mixing - quarks
CKM - matrix

4. :H. Fritzsch – Z. Xing

5. experiments

6. flavor mixing angles -
fermion masses

7. - -
III
2 families
flavor
mixing II I

8. mass matrices
texture 0
H. Fritzsch - S. Weinberg / 1978

9. mixing angles <=> masses-
mixing angles <=> masses

10. Observed quark masses

11. Cabibbo angle

12. Cabibbo
angle

13. -
3 families
III
flavor
mixing II I

14. -
texture zeros

19. m in GeV

20. -
unitarity triangle

22. Cabibbo angle
unitarity triangle
(rectangular)

23. -
Maximal
CP-violation

24. relations between quark masses ?
Observed:
m(c) : m(t) = m(u):m(c)
1/ /207
m(s):m(b) = m(d):m(s)
1/ /23

25. ln m

26. mixing of
leptons

27. W. Pauli
1930
„Neutrino“

29. Dear Radioactive Ladies and Gentlemen !

30. Savannah river reactor
1956: discovery of the neutrino
Savannah river reactor

31. (Fred Reines – Clyde Cowan)

32. n-capture by cadmium

33. Bruno
Pontecorvo

34. neutrino mixing

35. (1957) (1976) Physics Letters 62B, 76 B. Pontecorvo Phys. JETP 6, 429
H. Fritzsch - P. Minkowski
Physics Letters 62B, 76
(1976)

36. Neutrino
oscillations

41. 1963
Calculation of
solar flux
John
Bahcall

42. 1965 => Homestake Goldmine
South Dakota

44. solar neutrino deficit observed: 0.5 neutrinos / day
expected: 1.5 neutrinos / day
observed: 0.5 neutrinos / day
solar neutrino
deficit

45. Kamioka

47. neutrino oscillations
atmospheric neutrinos

48. 2001 =>
Kanada
Sudbury
Neutrino
Obervatory
SNO

49. charged current neutral current
S N O
Solar neutrinos
charged current neutral current

50. neutrino mixing matrix
(==> CKM Matrix)

51. V = U P
Fritzsch - Xing

52. n
Kamiokande - SNO

53. -
texture zeros

55. observation

56. ==> neutrino masses

57. neutrino masses
( eV )

58. Neutrino Mixing Matrix
???

60. ln m

61. ln m ?

62. Radiative corrections

63. radiative corrections

65. ln m

66. -

68. Daya Bay

69. RENO

70. Daya Bay - Reno

71. ???????? ???????
neutrino masses
very small

72. Dirac mass ?
Majorana mass ?

73. seesaw mechanism

74. History Seesaw T. Yanagida 1979
Footnote:
H. Fritzsch,
M. Gell-Mann,
P. Minkowski,
PLB 59 (1975) 256
P. Minkowski,
PLB 1976
T. Yanagida
M. Gell-Mann, P. Ramond, R. Slansky

77. Neutrinoless
Double Beta decay

79. Gran Sasso Laboratory

80. Cuoricino experiment

81. Cuoricino experiment
Majorana neutrino mass:
< 0.23 eV

82. relevant mass term:
expected:
Observed:

83. Conclusions
texture zeros

86. observation

87. neutrino masses
( eV )