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We study in detail the impact of a light sterile neutrino in theinterpretation of the latest data of the long baseline experiments NO$\nu$A andT2K, assessing the robustness/fragility of the estimates of the standard3-flavor parameters with respect to the perturbations induced in the 3+1scheme. We find that all the basic features of the 3-flavor analysis, includingthe weak indication ($\sim$1.4$\sigma$) in favor of the inverted neutrino massordering, the preference for values of the CP-phase $\delta_{13} \sim 1.2\pi$,and the substantial degeneracy of the two octants of $\theta_{23}$, all remainbasically unaltered in the 4-flavor scheme. Our analysis also demonstrates thatit is possible to attain some constraints on the new CP-phase $\delta_{14}$.Finally, we point out that, differently from non-standard neutrinointeractions, light sterile neutrinos are not capable to alleviate the tensionrecently emerged between NO$\nu$A and T2K in the appearance channel.

Interpretation of NO$\nu$A and T2K data in the presence of a light sterile neutrino