We report on a new analysis of neutrino oscillations in MINOS using the complete set of accelerator and atmospheric data. The analysis combines the ${\nu }_{\mu }$ disappearance and ${\nu }_e$ appearance data using the three-flavor formalism. We measure $|\mathrm{\Delta }{m}_{32}^2|=[2.28–2.46]\times 10^{-3}{\mathrm{eV}}^2$ (68% C.L.) and ${\sin }^2{\theta }_{23}=0.35–0.65$ (90% C.L.) in the normal hierarchy, and $|\mathrm{\Delta }{m}_{32}^2|=[2.32–2.53]\times 10^{-3}{\mathrm{eV}}^2$ (68% C.L.) and ${\sin }^2{\theta }_{23}=0.34–0.67$ (90% C.L.) in the inverted hierarchy. The data also constrain ${\delta }_{CP}$, the ${\theta }_{23}$ octant degeneracy and the mass hierarchy; we disfavor 36% (11%) of this three-parameter space at 68% (90%) C.L.

• Received 4 March 2014

DOI:https://doi.org/10.1103/PhysRevLett.112.191801