Neutrino Masses and Lepton-flavor-violating $\tau$ Decays in the Supersymmetric Left-right Model

TL;DR

This paper investigates the neutrino mass generation via Type-II seesaw in a supersymmetric left-right model, analyzing the stability of this mechanism and exploring lepton-flavor-violating tau decays using reconstructed Yukawa couplings.

Contribution

It derives the one-loop renormalization group equations for the neutrino mass matrix and examines the implications for lepton-flavor violation in this model.

Findings

Identified eight possible Higgs triplet Yukawa couplings consistent with the neutrino mass matrix.

Analyzed the stability of the Type-II seesaw mechanism under renormalization group evolution.

Estimated branching ratios for tau decays to mu gamma and e gamma.

Abstract

In the supersymmetric left-right model, the light neutrino masses are given by the Type-II seesaw mechanism. A duality property about this mechanism indicates that there exist eight possible Higgs triplet Yukawa couplings which result in the same neutrino mass matrix. In this paper, We work out the one-loop renormalization group equations for the effective neutrino mass matrix in the supersymmetric left-right model. The stability of the Type-II seesaw scenario is briefly discussed. We also study the lepton-flavor-violating processes ($\tau\to \mu\gamma$ and $\tau\to e\gamma$) by using the reconstructed Higgs triplet Yukawa couplings.