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We investigate the impact of light ($\sim$ eV) sterile neutrinos in thelong-baseline experiment T2K. We show that, within the 3+1 scheme, formass-mixing parameters suggested by the short-baseline anomalies, theinterference among the sterile and the atmospheric oscillation frequenciesinduces a new term in the $\nu_\mu \to \nu_e$ transition probability, which hasthe same order of magnitude of the standard 3-flavor solar-atmosphericinterference term. We show, for the first time, that current T2K data, takentogether with the results of the $\theta_{13}$-dedicated reactor experiments,are sensitive to two of the three CP-violating phases involved in the 3+1scheme. Both the standard CP-phase and the new one ($\delta_{13} \equiv \delta$and $\delta_{14}$ in our parameterization choice) tend to have a common bestfit value $\delta_{13} \simeq \delta_{14} \simeq -\pi/2$. Quite intriguingly,the inclusion of sterile neutrino effects leads to better agreement between thetwo estimates of $\theta_{13}$ obtained, respectively, from reactors and T2K,which in the 3-flavor framework are slightly different.

Imprints of CP violation induced by sterile neutrinos in T2K data