  One of the fundamental parameters entering neutrino oscillation framework is
the leptonic CP phase $\delta_{13}$ and its measurement is an important goal of
the planned long baseline experiments. It should be noted that ordinary matter
effects complicate the determination of this parameter and there are studies in
literature that deal with separation of intrinsic versus extrinsic CP
violation. It is important to investigate the consequences of new physics
effects that can not only hamper the measurement of $\delta_{13}$, but also
impact the consequences of discrete symmetries such as CP, T and unitarity in
different oscillation channels. In the present work, we explore these discrete
symmetries and implications on unitarity in presence of two new physics
scenarios (non-standard interaction in propagation and presence of sterile
neutrinos) that serve as good examples of going beyond the standard scenario in
different directions. We uncover the impact of new physics scenarios on
disentangling intrinsic and extrinsic CP violation.
