Prediction for $\Gamma(H\to \tau^+\tau^-)/ \Gamma(H\to \mu^+\mu^-)$ from Non-Abelian Flavor Symmetry

TL;DR

This paper predicts a significantly altered ratio of Higgs decay rates to tau and muon pairs based on a non-Abelian flavor symmetry model, offering a potential experimental signature to distinguish it from the Standard Model.

Contribution

It introduces a specific non-Abelian flavor symmetry model ($T^{'} imes Z_2$) predicting a unique Higgs decay ratio, differing vastly from the Standard Model.

Findings

Predicted ratio r ≈ 0.001 in the $T^{'} imes Z_2$ model

Difference from Standard Model ratio by over 250,000 times

Potential experimental signature for flavor symmetry detection

Abstract

It is shown that the ratio of branching ratios in Higgs boson decay $r = \Gamma(H \to \tau^+\tau^-)/\Gamma(H\to \mu^+\mu^-)$ in a simplified ($T^{'} \times Z_2$) model is $(r)_{T^{'} \times Z_2} \simeq 0.001$. This prediction is on a footing with the successful one in $(s, d)$ mixing, $\tan 2 \Theta_{12} = {1/3}(\sqrt{2})$. This value for $r$ differs from that of the minimal standard model by a very large factor (over 250,000) and can provide a smoking gun for ($T^{'} \times Z_2$) flavor symmetry.