# Analysis 2019

The best-fit parameters of neutrino oscillation for each choice of $\theta_{23}$ octant and hierarchy. The best-fit point is found for the normal hierarchy $\theta_{23}$ in the upper octant. In this case:

$\Delta m_{32}^2 = +2.48^{=0.11}_{-0.06} \times 10^{-3} eV^2/c^4$

$sin^2 \theta_{23} = 0.56^{+0.04}_{-0.03}$

$\delta_{CP} = 0.0^{+1.3}_{-0.4} \pi$

Other results is showen by table:

 NO, LO IH, UO IH, LO $\Delta m_{32}^2/ (10^{-3} eV^2/c^4)$ $+2.47$ $-2.54$ $-2.53$ $sin^2 \theta_{23}$ $0.48$ $0.56$ $0.47$ $\delta_{CP}/ \pi$ $1.9$ $1.5$ $1.4$ $+1.6\sigma$ $+1.8\sigma$ $+2.0\sigma$

# Second Analysis (2016)

The results of the second analysis were published in 2017. This analysis used an exposure equivalent to $6.05 \times 10^{20} POT$ from the Fermilab NuMI beam.

## Muon neutino disappearance results

The best fit in the normal hierarchy gives:

$\Delta m_{32}^2 = (2.67 \pm 0.11 ) \times 10^{-3} eV^2$

$sin^2 \theta_{23} = 0.404^{+0.030}_{-0.022} \ (0.624^{+0.022}_{-0.030})$

The best fit in the inverted hierarchy gives:

$\Delta m_{32}^2 = (-2.72 \pm 0.11 ) \times 10^{-3} eV^2$

$sin^2 \theta_{23} = 0.398^{+0.030}_{-0.022} (0.618^{+0.022}_{-0.030})$

Maximal mixing, where $sin^2 \theta_{23} = 0.5$, was disfavored at $2.6 \sigma$.

## Electron neutrino appearance results

$33 \ \nu_{e}$ candidates were observed with a background of $8.2 \pm 0.8 \ (syst.)$.

The hypothesis of inverted mass hierarchy with $\theta_{23}$ in the lower octant is disfavored at greater than 93% C.L. for all values of $\delta_{CP}$.

# First Analysis (2015)

The results of the first analysis were published in 2016. This analysis used a 14 kton-equivalent exposure of $2.74 \times 10^{20} POT$ from the Fermilab NuMI beam.

## Muon-neutrino disappearance results

Assuming the normal hierarchy, the measurements have a next view:

$\Delta m^{2}_{32} = 2.52^{+0.20}_{-0.18} \times 10^{-3} eV^2$

and $sin^2 \theta_{23}$ in the 68% CL range $[0.38, 0.65]$, with two statistically degenerate best-fit values:

$sin^2 \theta_{23} = 0.43 \ (0.60)$

Assuming the inverted hierarchy, the measurements have a next view:

$\Delta m^{2}_{32} = -2.56 \pm 0.19 \times 10^{-3} eV^2$

and $sin^2 \theta_{23}$ in the 68% CL range $[0.37, 0.64]$, with two statistically degenerate best-fit values:

$sin^2 \theta_{23} = 0.44 \ (0.59)$

## Electron neutrino appearance results

NOvA had observed $6 \ \nu_{e}$-like events in the FD, with a background prediction of $0.99 \pm 0.11 \ (syst.)$

The range of $0.1 \pi < \delta_{CP} < 0.5\pi$ in the IH is disfavored at the 90% C.L. The range of $0.25 \pi < \delta_{CP} < 0.95 \pi$ in the NH is disfavored at the 90% C.L.