Neutrino Masses and Flavor Mixing H. Fritzsch LMU Munich.

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Presentation transcript:

Neutrino Masses and Flavor Mixing H. Fritzsch LMU Munich

weak transitions and weak mixing

flavor mixing - quarks CKM - matrix

:H. Fritzsch – Z. Xing

experiments

flavor mixing angles - fermion masses

- - III 2 families flavor mixing II I

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

mixing angles <=> masses - mixing angles <=> masses

Observed quark masses

Cabibbo angle

Cabibbo angle

- 3 families III flavor mixing II I

- texture zeros

m in GeV

- unitarity triangle

Cabibbo angle unitarity triangle (rectangular)

- Maximal CP-violation

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

ln m

mixing of leptons

W. Pauli 1930 „Neutrino“

Dear Radioactive Ladies and Gentlemen !

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

(Fred Reines – Clyde Cowan)

n-capture by cadmium

Bruno Pontecorvo 1913 - 1993

neutrino mixing

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

Neutrino oscillations

1963 Calculation of solar flux John Bahcall

1965 => Homestake Goldmine South Dakota

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

Kamioka

neutrino oscillations atmospheric neutrinos

2001 => Kanada Sudbury Neutrino Obervatory SNO

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

neutrino mixing matrix (==> CKM Matrix)

V = U P Fritzsch - Xing

n Kamiokande - SNO

- texture zeros

observation

==> neutrino masses

neutrino masses ( eV )

Neutrino Mixing Matrix ???

ln m

ln m ?

Radiative corrections

radiative corrections

ln m

-

Daya Bay

RENO

Daya Bay - Reno

???????? ??????? neutrino masses very small

Dirac mass ? Majorana mass ?

seesaw mechanism

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

Neutrinoless Double Beta decay

Gran Sasso Laboratory

Cuoricino experiment

Cuoricino experiment Majorana neutrino mass: < 0.23 eV

relevant mass term: expected: Observed:

Conclusions texture zeros

observation

neutrino masses ( eV )