# Implications of the latest NO$ \nu $A results

## TL;DR

This paper analyzes NO$
u $A's latest results on neutrino oscillations, exploring how future data from NO$
u $A and DUNE can resolve parameter degeneracies related to mass hierarchy and CP violation.

## Contribution

It provides a detailed assessment of current degeneracies in neutrino oscillation parameters and evaluates the potential of future experiments to resolve these ambiguities.

## Key findings

- NO$
u $A prefers normal hierarchy with two degenerate solutions.
- Future NO$
u $A data can resolve some degeneracies at 95.45",
- DUNE can resolve all degeneracies at 99.99",

## Abstract

We discuss the implications of the latest NO$ \nu $A results on the measurement of $\nu_\mu - \nu_e$ conversions. From a combined analysis of the disappearance and appearance data, the preferred solutions reported by NO$ \nu $A are normal hierarchy (NH) with two degenerate best-fit points one in the lower octant (LO) and $ \delta_{CP} = 1.48\pi$ whereas the other in the higher octant (HO) with $ \delta_{CP} = 0.74\pi$. There is also another solution with inverted hierarchy (IH) which is $0.46 \sigma$ away from the best-fit. We discuss and quantify the possibility of resolving these degeneracies by inclusion of NO$ \nu $A antineutrino runs. We show that if the true solution corresponds to (NH, LO, $\sim 1.48\pi$) then future data from NO$ \nu $A comprising of 3 years of neutrino and 3 years of antineutrino run will be able to resolve the degenerate solutions at 95.45\% C.L. However, if the true solution corresponds to (NH, HO, $\sim 0.74\pi$), a wrong hierarchy-wrong $ \delta_{CP} $ solution remains unresolved even at 68\% C.L. with the full $3\nu+3\bar{\nu}$ projected run of NO$ \nu $A. Same is the case if the IH solution turns out to be the true solution. We further show that DUNE (10 kton) will be able to resolve these degenerate solutions at 99.73\% C.L. with only 1 year of neutrino and one year of antineutrino run [1+1] while 5+5 years of DUNE data can resolve the degeneracies at 99.99\% C.L.