Charged Lepton Flavor Violation $\mu\rightarrow e\gamma$ in $\mu-\tau$ Symmetric SUSY SO(10) mSUGRA, NUHM, NUGM, and NUSM theories and LHC

TL;DR

This paper investigates the bounds on the rare decay process $oldsymbol{ ext{mu} ightarrow e ext{gamma}}$ within a $oldsymbol{ ext{mu-} au}$ symmetric SUSY SO(10) framework, considering recent experimental data and exploring testability at future LHC runs.

Contribution

It provides updated bounds on $ ext{BR}( ext{mu} ightarrow e ext{gamma})$ in various SUSY models using recent experimental constraints, and discusses their testability at the LHC.

Findings

Updated bounds on $ ext{BR}( ext{mu} ightarrow e ext{gamma})$ considering recent Higgs and neutrino data.

Analysis of sensitivity of different SUSY models to future LHC experiments.

Constraints on SUSY parameter space from cLFV processes.

Abstract

Charged Lepton Flavor Violation (cLFV) processes like $ \mu \rightarrow e \gamma $ are rare decay processes, that are another signature of physics beyond Standard Model (BSM). These processes have been studied in various models, that could explain neutrino oscillations and mixings. In this work, we present bounds on cLFV decay $ \mu \rightarrow e \gamma $ in a $ \mu $-$ \tau $ symmetric SUSY SO(10) theory, using type I seesaw mechanism. The updated constraints on BR($ \mu \rightarrow e \gamma $) from MEG experiment, recently measured value of Higgs mass at LHC and value of $\theta_{13}$ from reactor data have been used. We present our results in mSUGRA, NUHM, NUGM and NUSM models, and sensitivity to test these theories at next run of LHC is also discussed.