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Flavor Mixing of quarks. The Standard Model. -. -. -. I. II. III. I. II. III. ? 3 families < ==> 3 colors ?. quark (2/3) neutrino quark (-1/3) charged lepton. lepton-quark family. weak decay of neutron. flavor mixing ( quarks – leptons ).
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Flavor Mixing of quarks
The Standard Model - - - I II III I II III ? 3 families < ==> 3 colors ?
quark (2/3) neutrino quark (-1/3) charged lepton lepton-quarkfamily
flavormixing (quarks – leptons)
Lambda – decay:decay amplitude only about20 % of the neutron decay amplitude
N. Cabibbo 1963 ( Cabibbo angle )
thetermwith cos … = 0.974 has beenobserved in betadecay
1970:GIM – mechanism( Glashow, Iliopoulos, Maiani ) c: charmed quark
Nov: 1974: discovery of the psi mesonat SLAC – MIT( bound charm + anticharm )
- 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 ( beyond Standard Model )
texture zeros in the electroweak gauge group SU(2,L) x SU(2,R) x U(1)
texture zero: SU(2) x SU(2) Reflection symmetries (~parity) ===> Grand Unification
Electroweak theory:SU(2) x SU(2) x U(1) In SO(10): lefthanded and righthanded neutrinos R L New energy scale for righthanded SU(2)
- ==> mass matrix
- mixing angles <=> masses
Cabibbo angle Exp.: phase 90 degrees ( symmetry ! )
Cabibbo angle ==>
- 3 families III flavor mixing II I
- 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:
- theory:
theory - x x theory -
- unitarity triangle
- - -
Cabibbo angle Unitarity triangle (rectangular)
- Maximal CP-violation
flavor mixing leptons
Observed: 3 leptondoublets
masses: electron: 0.51 MeV muon: 105.7 MeV tauon: 1 777 MeV neutrino masses: unknown but less than ~ 1 eV