Lower Higgs boson mass bounds from a chirally invariant lattice Higgs-Yukawa model with overlap fermions

TL;DR

This paper investigates the lower bounds of the Higgs boson mass using a chirally invariant lattice Higgs-Yukawa model, aiming for non-perturbative results that do not depend on vacuum stability assumptions.

Contribution

It provides the first non-perturbative lattice calculation of the lower Higgs mass bound in a chirally invariant Higgs-Yukawa model, comparing results with analytical effective potential calculations.

Findings

Lattice results for the lower Higgs mass bound at various cutoffs.

Agreement between lattice results and perturbative effective potential calculations.

Outlook on extending the study to the upper Higgs mass bound.

Abstract

We study the coupling parameter dependence of the Higgs boson mass in a chirally invariant lattice Higgs-Yukawa model emulating the same Yukawa coupling structure as in the Higgs-fermion sector of the Standard Model. Eventually, the aim is to establish non-perturbative upper and lower Higgs boson mass bounds derived from first principles, in particular not relying on vacuum stability considerations for the latter case. Here, we present our lattice results for the lower Higgs boson mass bound at several values of the cutoff and compare them to corresponding analytical calculations based on the effective potential as obtained from lattice perturbation theory. Furthermore, we give a brief outlook towards the calculation of the upper Higgs boson mass bound.