Neutrino mass textures and associated phenomenology in modular left-right symmetric model

Abstract: Neutrino mass textures play a crucial role in the study of various neutrino mass models and the associated phenomenology. The present work focuses on neutrino phenomenology in the framework of left-right symmetric model (LRSM) augmented by $A_4$ modular symmetry. More specifically we concentrated on the implementation of modular group of level 3 ($\Gamma(3)$). As the use of modular symmetry demands the assignment of different modular weights to the particle content of the model, we consider modular weights $k_Y$ = 4, 6, 8, 10 in LRSM which gives rise to different neutrino textures (texture zero structures) and study its consequent neutrino phenomenologies. Observables like resonant leptogenesis (RL), new physics contributions to neutrinoless double beta decay (NDBD)(momentum dependent ($\lambda$ and $\eta$) and right-handed neutrino contributions of NDBD and lepton flavor violation (LFV) has been deliberated. The study has been carried out for both normal and inverted ordering of neutrino mass and the correlations among the neutrino parameters for the present model has been elaborated for the TeV scale LRSM which can be tested in the experiments.