One-loop self-energies in the electroweak model with a nonlinearly realized gauge group

Abstract

We evaluate at one loop the self-energies for the $W$, $Z$ mesons in the electroweak model where the gauge group is nonlinearly realized. In this model the Higgs boson parameters are absent, while a second mass parameter appears together with a scale for the radiative corrections. We estimate these parameters in a simplified fit on leptons and gauge bosons data. We check physical unitarity and the absence of infrared divergences. Landau gauge is used. As a reference for future higher order computations, the regularized $D$-dimensional amplitudes are provided. Eventually the limit $D\ensuremath{\rightarrow}4$ is taken on physical amplitudes.