Lepton Flavor Violating tau decay by R-Parity Violation in a Family Symmetry

TL;DR

This paper explores how a non-Abelian discrete family symmetry, specifically Q6, constrains R-Parity Violating operators to predict lepton flavor violating tau decays, providing specific branching ratio relations.

Contribution

It introduces a model where the Q6 family symmetry determines the flavor structure and predicts specific LFV tau decay branching ratios based on RPV operators.

Findings

Predicts BR(τ→3e)/BR(τ→3μ) ≈ 4 m_μ^2/m_τ^2

Shows the role of family symmetry in flavor violation

Provides testable predictions for LFV tau decays

Abstract

In this talk, we investigate Lepton Flavor Violating (LFV) tau decay by R-Parity Violating (RPV) operators controlled by a non-Abelian discrete $Q_6$ family symmetry. We assume that only a family symmetry determines the whole flavor structure of a model, and the model indicates specific predictions of LFV tau decay processes by RPV operators. We predict $BR(\tau \to 3e)/BR(\tau \to 3 \mu) \sim 4 m_{\mu}^2/m_{\tau}^2$ in a $Q_6$ family symmetric model.