  We have studied neutrinoless double beta decay and charged lepton flavour
violation in broken $\mu-\tau$ symmetric neutrino masses in a generic
left-right symmetric model (LRSM). The leading order $\mu-\tau$ symmetric mass
matrix originates from the type I (II) seesaw mechanism, whereas the
perturbations to $\mu-\tau$ symmetry in order for generation of non-zero
reactor mixing angle $\theta_{13}$, as required by latest neutrino oscillation
data, originates from the type II (I) seesaw mechanism. In our work, we
considered four different realizations of $\mu-\tau$ symmetry, viz.
Tribimaximal Mixing (TBM), Bimaximal Mixing (BM), Hexagonal Mixing (HM) and
Golden Ratio Mixing (GRM). We then studied the new physics contributions to
neutrinoless double beta decay (NDBD) ignoring the left-right gauge boson
mixing and the heavy-light neutrino mixing within the framework of LRSM. We
have considered the mass of the gauge bosons and scalars to be around TeV and
studied the effects of the new physics contributions on the effective mass and
the NDBD half life and compared with the current experimental limit imposed by
KamLAND-Zen. We further extended our analysis by correlating the lepton flavour
violation of the decay processes, $\left(\mu\rightarrow 3e\right)$ and
$\left(\mu\rightarrow e\gamma\right)$ with the lightest neutrino mass and
atmospheric mixing angle $\theta_{23}$ respectively.
