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We investigate the implications of a sterile neutrino on the physicspotential of the proposed experiment DUNE and future runs of NO$\nu$A usinglatest NO$\nu$A results. Using combined analysis of the disappearance andappearance data, NO$\nu$A reported preferred solutions at normal hierarchy (NH)with two degenerate best-fit points one in the lower octant (LO) and$\delta_{13}$ = 1.48$\pi$ and other in higher octant (HO) and $\delta_{13}$ =0.74$\pi$. Another solution of inverted hierarchy (IH) which is 0.46$\sigma$away from best fit was also reported. We discuss chances of resolving thesedegeneracies in the presence of sterile neutrino.

Degeneracy resolution capabilities of NO$\nu$A and DUNE in the presence of light sterile neutrino