How light can the Higgs be?

TL;DR

This paper challenges the conventional lower bound on the Higgs mass derived from vacuum stability, proposing instead a new bound based on the theory's intrinsic cut-off, supported by non-perturbative and large N calculations.

Contribution

It introduces a novel lower bound on the Higgs mass that does not rely on vacuum stability, using non-perturbative methods and large N calculations.

Findings

Vacuum is never unstable according to simulations

A new lower bound based on the theory's cut-off is proposed

Challenges the traditional stability-based Higgs mass bounds

Abstract

It is widely believed that, for a given Top mass, the Higgs mass has a lower bound: if m_Higgs is too small, the Higgs vacuum is unstable due to Top dynamics. From vacuum instability, the state-of-the-art calculation of the lower bound is close to the current experimental limit. Using non-perturbative simulations and large N calculations, we show that the vacuum is in fact never unstable. Instead, we investigate the existence of a new lower bound, based on the intrinsic cut-off of this trivial theory.