  In the current epoch of neutrino physics, many experiments are aiming for
precision measurements of oscillation parameters. Thus, various new physics
scenarios which alter the neutrino oscillation probabilities in matter deserve
careful investigation. In this context, we study the effect of a vector
leptoquark which induces non-standard neutrino interactions (NSI) that modify
the oscillation probabilities of neutrinos in matter. We show that such
interactions provide a relatively large value of NSI parameter $\varepsilon_{e
\mu}$. Considering this NSI parameter, we successfully explain the recent
discrepancy between the observed $\delta_{CP}$ results of T2K and NOvA.
