Lepton Flavour Violation in charged leptons within SUSY-seesaw

TL;DR

This paper reviews lepton flavor violation in charged leptons within SUSY-seesaw models, analyzing tau decays and muon-electron conversion, highlighting the impact of SUSY and Higgs sectors on these processes.

Contribution

It provides a comprehensive analysis of LFV processes in SUSY-seesaw models, including full one-loop calculations and simplified formulas at large tan beta, incorporating neutrino data.

Findings

LFV rates are sensitive to SUSY and Higgs sector parameters.

Simplified formulas at large tan beta match full results well.

Experimental bounds constrain SUSY-seesaw parameter space.

Abstract

In this paper we review our main results for Lepton Flavour Violating (LFV) semileptonic tau decays and muon-electron conversion in nuclei within the context of two Constrained SUSY-Seesaw Models, the CMSSM and the NUHM. The relevant spectrum is that of the Minimal Supersymmetric Standard Model extended by three right handed neutrinos, $\nu_{R_i}$ and their corresponding SUSY partners, ${\tilde \nu}_{R_i}$, ($i=1,2,3$). We use the seesaw mechanism for neutrino mass generation and choose a parameterisation of this mechanism that allows us to incorporate the neutrino data in our analysis of LFV processes. In addition to the full one-loop results for the rates of these processes, we will also review the set of simple formulas, valid at large $\tan \beta$, which are very useful to compare with present experimental bounds. The sensitivity to SUSY and Higgs sectors in these processes will also be discussed. This is a very short summary of the works in Refs. \cite{Arganda:2008jj} and \cite{Arganda:2007jw} to which we refer the reader for more details.