Status of the Higgs Mass Bound

TL;DR

This paper reviews the triviality bound on the Higgs mass within the Standard Model, emphasizing cutoff effects and regularization schemes, concluding that the model remains accurate up to energies of 2-4 times the Higgs mass if the Higgs mass is below approximately 710 GeV.

Contribution

It provides a comprehensive analysis of the Higgs mass bound considering various regularization schemes and cutoff effects, updating the bound to about 710 GeV.

Findings

Higgs mass bound is approximately 710 GeV with uncertainties

The Standard Model remains accurate up to 2-4 times the Higgs mass

Regularization schemes influence the cutoff effects analysis

Abstract

The status of the triviality bound of the Higgs mass in the Minimal Standard Model is reviewed. It is emphasized that the bound is obtained, in the scalar sector, by limiting cutoff effects on physical processes. Results from several regularization schemes, including actions that allow a parameterization and tuning of the leading cutoff effects, are presented. They lead to the conclusion that the Minimal Standard Model will describe physics to an accuracy of a few percent up to energies of the order 2 to 4 times the Higgs mass, $M_H$, only if $M_H \le 710 \pm 60 ~ GeV$. The status of Higgs and fermion mass bounds in Higgs-fermion models is also briefly reviewed.