Higgs boson mass and new physics

TL;DR

This paper refines the theoretical bounds and predictions for the Higgs boson mass based on Standard Model stability and asymptotic safety, reducing uncertainties to 1-2 GeV using advanced loop calculations.

Contribution

It incorporates 3-loop renormalization group evolution and partial two-loop corrections, improving the precision of Higgs mass bounds and predictions compared to previous methods.

Findings

Higgs mass lower bound is approximately 129 GeV with 6 GeV uncertainty.

Discovery of Higgs in this range supports no new physics between Fermi and Planck scales.

Exact Higgs mass matching the bound suggests electroweak scale is set by Planck physics.

Abstract

We discuss the lower Higgs boson mass bounds which come from the absolute stability of the Standard Model (SM) vacuum and from the Higgs inflation, as well as the prediction of the Higgs boson mass coming from asymptotic safety of the SM. We account for the 3-loop renormalization group evolution of the couplings of the Standard Model and for a part of two-loop corrections that involve the QCD coupling alpha_s to initial conditions for their running. This is one step above the current state of the art procedure ("one-loop matching--two-loop running"). This results in reduction of the theoretical uncertainties in the Higgs boson mass bounds and predictions, associated with the Standard Model physics, to 1-2 GeV. We find that with the account of existing experimental uncertainties in the mass of the top quark and alpha_s (taken at 2sigma level) the bound reads M_H>=M_min (equality corresponds to the asymptotic safety prediction), where M_min=129+-6 GeV. We argue that the discovery of the SM Higgs boson in this range would be in agreement with the hypothesis of the absence of new energy scales between the Fermi and Planck scales, whereas the coincidence of M_H with M_min would suggest that the electroweak scale is determined by Planck physics. In order to clarify the relation between the Fermi and Planck scale a construction of an electron-positron or muon collider with a center of mass energy ~200+200 GeV (Higgs and t-quark factory) would be needed.