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flavor mixing. of quarks and leptons. quarks * leptons. reduced by 80 %. N. Cabibbo 1963 ( Cabibbo angle ). hypothesis: new (fourth) quark „charm“. 1970 GIM – mechanism ( Glashow, Iliopoulos, Maiani ). c: charmed quark.
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flavor mixing of quarks and leptons quarks * leptons
N. Cabibbo 1963 ( Cabibbo angle )
1970GIM – mechanism( Glashow, Iliopoulos, Maiani ) c: charmed quark
SLAC J/PSI e(+) e(-) M= 3.1 GeV
SLAC MIT November 1974
- flavor mixing angles fermion masses
- - III 2 families flavor mixing II I
mass matrices texture 0 u,c - d,s H. Fritzsch S. Weinberg 1978
texture zeros in the electroweak gauge group SU(2,L) x SU(2,R) x U(1)
SU(2,L) x SU(2,R) x U(1) grand unification SO(10)
- ==> mass matrix
- mixing angles <=> masses
Cabibbo angle Exp.: phase 90 degrees ( symmetry ! )
Cabibbo angle ==>
1995 - FNAL t mass (t): 172.0±2.2 GeV
- III 3 families II I
Masses - Charged leptons and quarks (MeV) tau: 1 777 muon: 105.7 electron: 0.51 - t: 173 000 c: 1 200 u: 5.3 b: 4 300 s: 130 d: 7.8 (u, d, c, s - quark masses at 1 GeV)
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
- flavor mixing => CKM - matrix: three angles - one phase
CKM matrix standard parametrization
New parametrization: H. F. - Z. Xing
- texture zeros:
- The angles and can be measured separately.
SLAC DESY KEK FNAL CERN
theory - x x theory -
- unitarity triangle
- - -
Cabibbo angle Unitarity triangle (rectangular)
- Maximal CP-violation
flavor mixing leptons