QFC2019 - Quantum gases, fundamental interactions and cosmology

Electroweak Interaction in SU(2) X U(1) Left-Right Symmetrical Model

25 Oct 2019, 15:46

1m

Aula Gerace

poster Fundamental Interacions Posters and Coffee

Speaker

Prof. Andrew Koshelkin (National Research Nuclear University)

Description

The $SU(2)⨂U(1)$ gauge model unifying
the electromagnetic and weak interactions, which is initially free of the auxiliary self-interaction scalar field, is developed. We narrow the initial symmetry up to $S{U}_L(2)⨂U_R(1)$ by eliminating the right neutrinos current from the Lagrangian by means of the bosonization of this current into the $SU(2)$ current of the charged scalar field that leads to the $S{U}_L(2)⨂U_R(1)$ gauge invariant Lagrangian containing the arbitrary $SU(2)$ invariant charged scalar field. The interaction of such a field with leptons and gauge fields provides them with the required masses, and mixes the lepton families under spontaneous breaking the symmetry of the scalar field. The obtained Pontecorvo-Maki-Nakagawa-Sakata matrix elements is entirely governed by both the coupling constant of leptons with the scalar field and the parameters of the spontaneously arisen vacuum.