Global fit of oscillation parameters

On this page we present the result of our global fit of neutrino oscillation parameters. The full text can be found in our paper. In the menu on the left hand side you can also obtain information on the experiments analyzed separately. There we also summarize all of the datasets included in our global fit.

In the following we present the numerical values of our analysis for each of the parameters. In our global fit of neutrino oscillation data we obtain preference for normal neutrino mass ordering with \chi^2(\text{IO})-\chi^2(\text{NO})=11.7 which corresponds to a preference of 3.4\sigma.

parameter best fit \pm 1\sigma 2\sigma range 3\sigma range
\Delta m^2_{21}: [10^{-5} eV^2] 7.55^{+0.20}_{-0.16} 7.20–7.94 7.05–8.14
|\Delta m^2_{31}|: [10^{-3} eV^2] (NO) 2.50\pm0.03 2.44–2.57 2.41–2.60
|\Delta m^2_{31}|: [10^{-3} eV^2] (IO) 2.42^{+0.03}_{-0.04} 2.34–2.47 2.31-2.51
\sin^2\theta_{12} / 10^{-1} 3.20^{+0.20}_{-0.16} 2.89–3.59 2.73–3.79
\sin^2\theta_{23} / 10^{-1} (NO) 5.47^{+0.20}_{-0.30} 4.67–5.83 4.45–5.99
\sin^2\theta_{23} / 10^{-1} (IO) 5.51^{+0.18}_{-0.30} 4.91–5.84 4.53–5.98
\sin^2\theta_{13} / 10^{-2} (NO) 2.160^{+0.083}_{-0.069} 2.03–2.34 1.96–2.41
\sin^2\theta_{13} / 10^{-2} (IO) 2.220^{+0.074}_{-0.076} 2.07–2.36 1.99–2.44
\delta_{\rm CP}/\pi (NO) 1.32^{+0.21}_{-0.15} 1.01–1.75 0.87–1.94
\delta_{\rm CP}/\pi (IO) 1.56^{+0.13}_{-0.15} 1.27–1.82 1.12–1.94

Those numbers have been extracted from the profiles in the following figure. The solid lines are plotted with respect to the global best fit value, while the dashed lines are plotted with respect to the best fit value in inverted ordering.
The 1D \chi^2 profiles used for the plots are available here.

Another way of presenting these results is in two-dimensional plots. In the following figures we have always marginalized over all of the parameters not plotted. As for the profiles, the figures for inverted ordering are plotted with respect to the best fit for inverted ordering.
The 2D \chi^2 profiles used for the plots are available here.