Hierarchy sensitivity of NO$ν$A in light of T2K $ν_e$ appearance data

The $ν_e$ appearance data of T2K experiment has given a glimpse of the allowed parameters in the hierarchy-$δ_{CP}$ parameter space. In this paper, we explore how this data affects our expectations regarding the hierarchy sensitivity of the NO$ν$A experiment. For the favourable combinations of hierarchy and $δ_{CP}$, the hierarchy sensitivity of NO$ν$A is unaffected by the addition of T2K data. For the unfavourable combinations, NO$ν$A data gives degenerate solutions. Among these degenerate solutions, T2K data prefers IH and $δ_{CP}$ in the lower half plane over NH and $δ_{CP}$ in the upper half plane. Hence, addition of the T2K data to NO$ν$A creates a bias towards IH and $δ_{CP}$ in the lower half plane irrespective of what the true combination is.

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