Probing Lepton Flavor Triality with Higgs Boson Decay

TL;DR

This paper explores how lepton flavor triality, arising from certain discrete symmetries explaining neutrino mixing, can be tested through distinctive Higgs decay signatures at the LHC.

Contribution

It proposes a novel experimental signature of lepton flavor triality in Higgs decays involving scalar particles, linking discrete symmetries to observable collider phenomena.

Findings

Detectable Higgs decay chain involving lepton flavor violation

Potential observation at the LHC with 1 fb$^{-1}$ at 7 TeV

Connects discrete symmetry models to collider signatures

Abstract

If neutrino tribimaximal mixing is explained by a non-Abelian discrete symmetry such as $A_4$, $T_7$, $\Delta(27)$, etc., the charged-lepton Higgs sector has a $Z_3$ residual symmetry (lepton flavor triality), which may be observed directly in the decay chain $H^0 \to \psi_2^0 \bar\psi_2^0$, then $\psi_2^0 (\bar\psi_2^0) \to l_i^+ l_j^- ~(i \neq j)$, where $H^0$ is a standard-model-like Higgs boson and $\psi_2^0$ is a scalar particle needed for realizing the original discrete symmetry. If kinematically allowed, this unusual and easily detectable decay is observable at the LHC with 1 fb$^{-1}$ for E_{cm} = 7 TeV.