  In this work, we studied baryogenesis via leptogenesis, neutrinoless double
beta decay (NDBD) in the framework of LRSM where type I and type II seesaw
terms arises naturally. The type I seesaw mass term is considered to be
favouring $\mu-\tau$ symmetry, taking into account the widely studied
realizations of $\mu-\tau$ symmetric neutrino mass models, viz. Tribimaximal
Mixing (TBM), Hexagonal Mixing (HM) and Golden Ratio Mixing (GRM) respectively.
The required correction to generate a non vanishing reactor mixing angle
$\theta_{13}$ is obtained from the perturbation matrix, type II seesaw mass
term in our case. We studied the new physics contributions to NDBD and
baryogenesis ignoring the left-right gauge boson mixing and the heavy-light
neutrino mixing, keeping mass of the gauge bosons and scalars to be around TeV
and studied the effects of the new physics contributions on the effective mass,
NDBD half life and cosmological BAU and compared with the values imposed by
experiments. We basically tried to find the leading order contributions to NDBD
and BAU, coming from type I or type II seesaw in our work.
