Higgs Couplings to $t$, $b$, and $\tau$ with Flavor Symmetry

TL;DR

This paper explores how non-abelian discrete flavor symmetries can modify Higgs Yukawa couplings to fermions, providing insights into fermion mass and mixing patterns beyond the Standard Model.

Contribution

It introduces the impact of non-abelian discrete flavor symmetries on Higgs Yukawa couplings, challenging the proportionality to fermion masses and aiding in understanding fermion mixing.

Findings

Yukawa couplings deviate from mass proportionality under flavor symmetry

Departures from Standard Model predictions can inform fermion mixing models

Flavor symmetry effects are testable with upcoming LHC data

Abstract

Experimental study at LHC of the possible Higgs boson should soon provide accurate estimates of the Yukawa couplings $Y_{H\bar{f}f}$ for $f=t,b,\tau$. In the presence of a non-abelian discrete flavor symmetry $G_F$ (e.g. T') the usual prediction that $Y_{H\bar{f}f} \propto m_f$ should be inexact, and departures therefrom will provide through $G_F$ valuable input to an improved derivation of the quark and lepton mixing matrices.