Is Radiative Electroweak Symmetry Breaking Consistent with a 125 GeV Higgs Mass?

TL;DR

This paper investigates whether radiative electroweak symmetry breaking can produce a Higgs mass consistent with the observed 125 GeV, using advanced loop calculations and approximations to predict the Higgs mass and self-coupling.

Contribution

It extends Higgs mass predictions to nine-loop order and demonstrates convergence to a value consistent with experimental observations, providing new insights into radiative symmetry breaking.

Findings

Higgs mass converges to approximately 124 GeV

Higgs self-coupling predicted to be 0.23, larger than conventional models

Enhanced scattering processes could distinguish symmetry breaking mechanisms

Abstract

The mechanism of radiative electroweak symmetry breaking occurs through loop corrections, and unlike conventional symmetry breaking where the Higgs mass is a parameter, the radiatively-generated Higgs mass is dynamically predicted. Pade approximations and an averaging method are developed to extend the Higgs mass predictions in radiative electroweak symmetry breaking from five- to nine-loop order in the scalar sector of the Standard Model, resulting in an upper bound on the Higgs mass of 141 GeV. The mass predictions are well-described by a geometric series behaviour, converging to an asymptotic Higgs mass of 124 GeV consistent with the recent ATLAS/CMS observations. Similarly, we find that the Higgs self-coupling converges to $\lambda=0.23$, which is significantly larger than its conventional symmetry breaking counterpart for a 124 GeV Higgs mass. In addition to this significant enhancement of the Higgs self-coupling and $HH\rightarrow HH$ scattering, we find that Higgs decays to gauge bosons are unaltered and the scattering processes $W_{L}^{+}W_{L}^{+}\rightarrow HH$, $Z_{L}Z_{L}\rightarrow HH$ are also enhanced, providing signals to distinguish conventional and radiative electroweak symmetry breaking mechanisms.