I.T.Dyatlov (PNPI)

 

CP-PROPERTIES AND LEPTON NUMBER NON-CONSERVATION IN THE SPONTANEOUSLY-BROKEN MIRROR SYMMETRY

 

Spontaneously-violated mirror symmetry (MS) permits to reproduce main qualitative features of the weak mixing for quarks and leptons. The MS-breaking itself causes non-conservation both of the space parity P and the charge conjugation C. There is possible to violate here also CP. It is unnecessary to violate C (and T) additionally in the invariant MS-Lagrangian, that would be even inconsistent with the MS-idea. It leaves only hermitian matrices as the Yukawa couplings in the MS-scheme. This state does not change CP- properties (the same as in the Standard model) of the quark mixing matrix, but makes impossible at observed neutrino properties any complex phases, and so CP--violations, in the lepton weak couplings. Besides, heavy mirror neutrinos give here rise to weak and other processes with total lepton number changes