In this talk, I will basically discuss the impact of one eV scale sterile neutrino on the long-baseline neutrino oscillation experiments taking T2K, NO$\nu$A and DUNE as a case study. I will start with a brief intruduction to some experimentally observed neutrino anomalies and then I will intruduce an eV scale sterile neutrino with some theoretical framework, as a possible solution to resolve those anomalies. For realistic benchmark values of the mass-mixing parameters taken from global fits of oscillation data, we find that the performance of all these experiments in claiming the discovery of the CP-violation(CPV) induced by the standard CP-phase $\delta_{13}\equiv \delta$ and the neutrino mass hierarchy (MH) gets deteriorated. However DUNE has a good opportunity to probe the CPV induced by the new CP phases $\delta_{14}$ and $\delta_{34}$ in contrast to T2K and NO$\nu$A where the sensitivity is less. We also estimate the capability of reconstructing the true values of two CP-phases $\delta_{13}$ and $\delta_{14}$ in combined analysis of T2K and NO$\nu$A and then DUNE alone. The typical 1$\sigma$ level uncertainties on these reconstructed phases are approximately $40^0$ for $\delta_{13}$ and $50^0$ for $\delta_{14}$ in case of T2K and NO$\nu$A, where as for DUNE it is $\sim 20^0(30^0)$ for $\delta_{13} (\delta_{14})$ if $\theta_{34}$ = 0. However the reconstruction of $\delta_{14}$ (but not that of $\delta_{13}$) appreciably degrades if $\theta_{34}$ is large. Finally, I will show the new ambiguity in resolving the octant of $\theta_{23}$ in presence of sterile neutrino.
FINANCIADO POR LA GENERALITAT VALENCIANA (Proyecto GV2016-142)