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Recent $\nu_e$ appearance data from the Mini Booster Neutrino Experiment(MiniBooNE) are in support of the excess of events reported by the LiquidScintillator Neutrino Detector (LSND), which provides an indirect hint for theexistence of eV-scale sterile neutrino. As these sterile neutrinos can mix withthe standard active neutrinos, in this paper we explore the effect of suchactive-sterile mixing on the determination of various oscillation parameters bythe currently running long-baseline neutrino experiments T2K and NO$\nu$A. Wefind that the existence of sterile neutrino can lead to new kind ofdegeneracies among these parameters which would substantially deteriorate themass hierarchy sensitivity of NO$\nu$A experiment. We further notice that theinclusion of data from T2K experiment helps in resolving the degeneracies. Theimpact of new CP violating phases $\delta_{14}$ and $\delta_{34}$ on themaximal CP-violation exclusion sensitivity for NO$\nu$A experiment has alsobeen illustrated. Finally, we discuss the implication of such light sterileneutrinos on neutrinoless double beta decay processes in line with recentexperimental results, as well as on the sensitivity reach of futureexperiments.

Light sterile neutrinos and their implications on currently running long-baseline and neutrinoless double beta decay experiments