Combined analysis of ${\nu }_{\mu }$ disappearance and ${\nu }_{\mu }\to {\nu }_e$ appearance in MINOS using accelerator and atmospheric neutrinos

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 $|\Delta m^{2}{32}|=[2.28-2.46]\times10^{-3}\mbox{,eV}^{2}$(68$\sin^{2}\theta{23}=0.35-0.65$(90$|\Delta m^{2}{32}|=[2.32-2.53]\times10^{-3}\mbox{,eV}^{2}$(68$\sin^{2}\theta{23}=0.34-0.67$ (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.