Upper and lower Higgs boson mass bounds from a lattice Higgs-Yukawa model with dynamical overlap fermions

TL;DR

This paper investigates the theoretical bounds on the Higgs boson mass using a lattice Higgs-Yukawa model that preserves chiral symmetry, providing insights into the maximum possible Higgs mass at various energy scales.

Contribution

It introduces a lattice Higgs-Yukawa model with overlap fermions that maintains chiral symmetry and computes the cutoff-dependent upper Higgs mass bounds.

Findings

Determined upper Higgs mass bounds at different cutoff scales.

Validated the lattice model's ability to emulate Standard Model Higgs-fermion interactions.

Provided data on how the Higgs mass bounds vary with energy cutoff.

Abstract

We study a lattice Higgs-Yukawa model emulating the same Higgs-fermion coupling structure as in the Higgs sector of the electroweak Standard Model, in particular, obeying a Ginsparg-Wilson version of the underlying SU(2) x U(1) symmetry, being a global symmetry here due to the neglection of gauge fields in this model. In this paper we present our results on the cutoff-dependent upper Higgs boson mass bound at several selected values of the cutoff parameter.