Constraints for non-standard interaction $\epsilon_{e \tau}V_e$ from $\nu_e$ appearance in MINOS and T2K

Event rates for nu_e and anti-nu_e appearance oscillations reported by the MINOS and T2K long baseline experiments are used to set constraints on the strength of the non-standard interaction epsilon_{e tau}V_e matter potential. The ranges allowed for the magnitude and phase of epsilon_{e tau} are delineated for scenarios wherein i) other non-standard interactions for neutrinos propagating through the terrestrial crust are negligible, and ii) the real-valued, flavor-diagonal couplings epsilon_{e e} and epsilon_{tau tau} are also operative. Our analysis makes use of accurate analytic forms for the nu_e amplitude A(nu_mu --> nu_e) describing neutrino oscillation in constant-density matter in the presence of epsilon_{e tau}, epsilon_{e e} and epsilon_{tau tau} non- standard interactions.