arXiv:2109.06470·v1·High Energy Physics — Phenomenology
Fermion propagator diagonalization and eigenvalue problem
D.A. Dolzhikov (1)🇷🇺 · A.E. Kaloshin (1 and 2)🇷🇺 · V.P. Lomov (2 and 3) ((1) Joint Institute for Nuclear Research, (2) Irkutsk State University, (3) Institute for System Dynamics and Control Theory)🇷🇺
Abstract
We discuss diagonalization of propagator for mixing fermions system based on the eigenvalue problem. The similarity transformation converting matrix propagator into diagonal form is obtained. The suggested diagonalization has simple algebraic properties for on-shell fermions and can be used in renormalization of fermion mixing matrix.