Prediction of $h\to\gamma Z$ from $h\to\gamma\gamma$ at LHC for the IMDS$_3$ Model

TL;DR

This paper predicts the decay rate of the Higgs boson to gamma and Z bosons in an extended standard model with inert doublets and $S_3$ symmetry, using existing gamma gamma decay data to estimate the gamma Z decay.

Contribution

It introduces a new extension of the standard model with two inert doublets and $S_3$ symmetry, analyzing its impact on Higgs decay channels involving photons and Z bosons.

Findings

Predicted $h o extgamma Z$ decay rate is 1.05 times the SM value.

Decay rate can vary between 0.96 and 1.16 times the SM value considering uncertainties.

Model's predictions are consistent with current experimental data.

Abstract

We consider the decays $h\to\gamma\gamma,\gamma Z$ in the context of an extension of the standard model with two inert doublets and an additional $S_3$ symmetry. This model has contributions for these processes through new charged scalar-loops. Comparing our $h\to\gamma\gamma$ with the more precise available experimental data we can predict the behaviour of $h\to\gamma Z$ due that they depend on the same parameters, our estimation for this channel is 1.05 times the standard model value, but can be up to 1.16 if consider the $+1\sigma$ uncertainty from the $h\to\gamma\gamma$ data, and down to 0.96 if consider $-1\sigma$.