Employing the perturbative definition of the Higgs mass in a non-perturbative calculation

TL;DR

This paper explores a gauge-invariant, non-perturbative approach to defining the Higgs mass using lattice gauge theory, connecting it with physical bound states rather than gauge-dependent propagator poles.

Contribution

It extends the perturbative Higgs mass definition to non-perturbative lattice calculations by analyzing the analytic structure of gauge-invariant propagators in a W-Z-Higgs system.

Findings

Non-perturbative propagators can be used to define the Higgs mass gauge-invariantly.

The approach connects Higgs properties with physical bound states.

Lattice calculations support the feasibility of this gauge-invariant mass definition.

Abstract

In perturbative calculations the masses of the Higgs, the Ws and the Z are usually determined from the pole position of the corresponding gauge-dependent propagators. In full non-perturbative lattice calculations it is much more direct to instead investigate the bound state spectrum with its gauge-independent meaning, which then contains bound states of Higgses and/or Ws and Zs. It is possible to extend the perturbative definition of the Higgs mass also to such a full non-perturbative setting by determining the respective full non-perturbative propagators of the Higgs, the Ws, and the Z, and analyze their analytic structure. This helps connecting the Higgs properties indirectly with gauge-invariant physics. This is here studied, using lattice gauge theory, for the case of a W-Z-Higgs system.