On Lepton Flavor Violation and Dark Matter in Scotogenic model with Trimaximal Mixing

We examine the Scotogenic model employing the TM₂ mixing matrix, UTM₂, for neutrinos and parameterize the Yukawa coupling matrix y based on the diagonalization condition for the neutrino mass matrix, mν. Our investigation centers on analyzing the relic density of cold dark matter (Ω h²) and possible lepton flavor violation (LFV) in the model. While analyzing, we have taken into consideration respective experimental constraints on Ω h² and LFV alongside neutrino oscillation data. In the second part, we have extended the analysis incorporating extended magic symmetry in m_ν enabling us to completely determine Yukawa coupling matrix (y). We observe a notable exclusion of the effective Majorana mass |mₑₑ| parameter space by cosmological bound on sum of neutrino masses, particularly in the normal hierarchy while inverted hierarchy scenario is excluded due to constraints coming from extended magic symmetry. These findings shed light on the interplay among the Scotogenic model, TM₂ mixing, and extended magic symmetry, offering insights into the permitted parameter space and hierarchy exclusion.