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The first hint of neutrino mass hierarchy is expected to come from theNO$\nu$A experiment in Fermilab as the present best-fit parameter space i.e.,normal hierarchy and $\delta_{CP}=-90^\circ$ is the favourable parameter spacefor NO$\nu$A where there is no degeneracy. But this situation may change if thestandard three flavour framework is not complete and there is existence of newphysics. In this work we consider the presence of an extra light sterileneutrino at the eV scale and study the new degeneracies which are absent in thestandard three flavour framework. We also study the effect of these newdegeneracies on the hierarchy measurement of NO$\nu$A.

Parameter degeneracy and hierarchy sensitivity of NO$\nu$A in presence of sterile neutrino