Upper Higgs boson mass bounds from a chirally invariant lattice Higgs-Yukawa model

TL;DR

This paper uses lattice computations within a chirally invariant Higgs-Yukawa model to determine how the upper Higgs boson mass bound depends on the cutoff, confirming it decreases as the cutoff increases, consistent with triviality.

Contribution

It provides the first direct lattice computation of the cutoff-dependent upper Higgs mass bound using a chirally invariant model that mimics the Standard Model's Yukawa structure.

Findings

Upper Higgs mass bound decreases with increasing cutoff.

Fermionic contributions significantly influence the mass bound.

Results align with triviality expectations in the Higgs sector.

Abstract

We establish the cutoff-dependent upper Higgs boson mass bound by means of direct lattice computations in the framework of a chirally invariant lattice Higgs-Yukawa model emulating the same chiral Yukawa coupling structure as in the Higgs-fermion sector of the Standard Model. As expected from the triviality picture of the Higgs sector, we observe the upper mass bound to decrease with rising cutoff parameter $\Lambda$. Moreover, the strength of the fermionic contribution to the upper mass bound is explored by comparing to the corresponding analysis in the pure $\Phi^4$-theory.