Charged Lepton Flavor Violation $μ\rightarrow eγ$ in $μ-τ$ Symmetric SUSY SO(10) mSUGRA, NUHM, NUGM, and NUSM theories and LHC

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.