Radiative corrections to the Higgs boson couplings in the triplet model

TL;DR

This paper provides a comprehensive one-loop calculation of Higgs boson couplings in the triplet model, revealing correlations among deviations that can be tested at future colliders to distinguish this model from others.

Contribution

It presents the first full one-loop corrections to Higgs couplings in the triplet model, including decay rates and electroweak parameters, with implications for experimental discrimination.

Findings

Deviations in Higgs couplings are correlated and measurable.

Predicted deviations can reach up to -10% in $hhh$ and +150% in $h o\gamma\gamma$.

Model distinguishability depends on precise future measurements.

Abstract

We calculate a full set of one-loop corrections to the Higgs boson coupling constants as well as the electroweak parameters. We compute the decay rate of the standard model (SM)-like Higgs boson ($h$) into diphoton. Renormalized Higgs couplings with the weak gauge bosons $hVV$ ($V=W$ and $Z$) and the trilinear coupling $hhh$ are also calculated at the one-loop level in the on-shell scheme. Magnitudes of the deviations in these quantities are evaluated in the parameter regions where the unitarity and vacuum stability bounds are satisfied and the predicted W boson mass at the one-loop level is consistent with the data. We find that there are strong correlations among deviations in the Higgs boson couplings $h\gamma\gamma$, $hVV$ and $hhh$. For example, if the event number of the $pp\to h\to\gamma\gamma$ channel deviates by +30% (-40%) from the SM prediction, deviations in the one-loop corrected $hVV$ and $hhh$ vertices are predicted about -0.1% (-2%) and -10% $(+150%)$, respectively. The model can be discriminated from the other models by measuring these coupling constants accurately at future collider experiments.