Renormalization group analysis of cosmological constraint on the mass of Higgs scalar

TL;DR

This paper uses renormalization group analysis to refine the cosmological constraints on the Higgs boson mass, showing that higher-order corrections are significant for experimental considerations.

Contribution

It provides a detailed two-loop correction estimate for the Higgs mass threshold relevant to early Universe inflation, improving previous tree-level bounds.

Findings

Tree-level Higgs mass threshold: 142 GeV

Two-loop corrected threshold: 150 ± 3 GeV

Higher-order corrections are numerically significant

Abstract

The Higgs boson of Standard Model, minimally coupled to the gravitation, is not able to produce the inflation of early Universe if its mass exceeds the threshold value, which is equal to m_H^{min} = 142 GeV in the tree approximation for the scalar potential. Two-loop corrections modify the estimate as m_H^{min} = 150 \pm 3 GeV, so that higher-order corrections of perturbation theory are completely under control, though they are numerically important in respect of experimental searches.