Wednesday, September 26, 2012

1209.5416 (T. G. Steele et al.)

Is Radiative Electroweak Symmetry Breaking Consistent with a 125 GeV
Higgs Mass?
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T. G. Steele, Zhi-Wei Wang
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 125 GeV consistent with the recent ATLAS/CMS observations. Although we cannot determine the Higgs self-coupling corresponding to this mass extrapolation, at any given order the predicted Higgs coupling is larger than its conventional symmetry-breaking counterpart. We therefore cannot definitively conclude whether enhancement of the Higgs self-coupling and $HH\rightarrow HH$ scattering are phenomenological signals that distinguish conventional and radiative symmetry breaking. However, independent of the Higgs self-coupling, 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 enhanced, providing signals to distinguish conventional and radiative electroweak symmetry breaking mechanisms.
View original: http://arxiv.org/abs/1209.5416

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