Fermion mass in the Wilson-Yukawa approach for chiral Yukawa theory

TL;DR

This paper proposes a modified Wilson-Yukawa model that ensures fermion mass is proportional to the Higgs vacuum expectation value and enables chiral coupling to gauge fields by introducing scalar and fermionic regulator fields.

Contribution

It introduces a new modification to the Wilson-Yukawa approach, incorporating regulator fields to achieve proportional fermion mass and chiral gauge coupling.

Findings

Fermion mass becomes proportional to the Higgs vacuum expectation value.

Chiral coupling to gauge fields is possible at a critical regulator scalar hopping parameter.

The model successfully addresses previous limitations of the Wilson-Yukawa approach.

Abstract

We consider a modification of the Wilson-Yukawa model to overcome its difficulty that the fermion mass is not proportional to the Higgs vacuum expectation value. In the modification scalar and fermionic regulator fields are introduced so that all the physical fermion fields possess shift symmetry when the Yukawa coupling vanishes. With the fermionic hopping parameter expansion it is shown that the fermion mass is proportional to the Higgs vacuum expectation value and that the coupling of fermion to the external gauge field can be chiral if the hopping parameter of the scalar regulator field is taken to the critical value.