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An important goal of current and future long baseline neutrino oscillationexperiments pertains to determination of the Dirac-type leptonic $CP$ phase,$\delta_{13}$. We consider the new physics scenario of an eV scale sterileneutrino along with three active neutrinos and demonstrate the impact on the$CP$ and $T$ violation measurements in neutrino oscillations. We address thequestion of disentangling the intrinsic effects from extrinsic effects in thestandard three neutrino paradigm as well as the scenario with added lightsterile neutrino. We define a metric to isolate the two kinds of effects andour approach is general in the sense that it is independent of the choice of$\delta_{13}$. We study the role of different appearance and disappearancechannels which can contribute to CP and T violation measurements. We performthe analysis for different long baseline experiments which have differentdetection capabilities such as Water Cherenkov (WC) and Liquid Argon TimeProjection Chamber (LArTPC).

CP and T violation effects in presence of an $\mbox{eV}$ scale sterile neutrino at long baseline neutrino experiments