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

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 $HH\to HH$ scattering, we find that Higgs decays to gauge bosons are unaltered and the scattering processes $W_L^{+}{W}_L^{+}\to HH$, $Z_L{Z}_L\to HH$ are also enhanced, providing signals to distinguish conventional and radiative electroweak symmetry breaking mechanisms.

Comments: 5 pages, 3 eps figures included with LaTeX source. v3 contains extended analysis and discussion