Triviality and the Higgs mass lower bound

TL;DR

This paper challenges the common belief that the Higgs mass has a lower bound due to vacuum instability, showing that the instability does not exist when properly accounting for the triviality of the theory.

Contribution

It demonstrates that the Higgs vacuum instability is an artifact of incorrect cutoff treatment and provides a correct method to calculate the Higgs mass lower bound.

Findings

Higgs vacuum instability is an artifact of improper cutoff treatment

Proper renormalization removes the need for a Higgs mass lower bound

A correct calculation of the regulator-dependent Higgs mass lower bound is provided

Abstract

In the minimal Standard Model, it is commonly believed that the Higgs mass cannot be too small, otherwise Top quark dynamics makes the Higgs potential unstable. Although this Higgs mass lower bound is relevant for current phenomenology, we show that the Higgs vacuum instability in fact does not exist and only appears when treating incorrectly the cut-off in the renormalization of a trivial theory. We also demonstrate how to calculate correctly the regulator-dependent Higgs mass lower bound.