Combined analysis of $\hat{I}{½}_{\hat{I}}¼$ disappearance and $\hat{I}{½}_{\hat{I}}¼\to \hat{I}{½}_e$ appearance in MINOS using accelerator and atmospheric neutrinos

Abstract

We report on a new analysis of neutrino oscillations in MINOS using the complete set of accelerator and atmospheric data. The analysis combines the $\hat{I}{½}_{\hat{I}}¼$ disappearance and $\hat{I}{½}_e$ appearance data using the three-flavor formalism. We measure $|Δm^{2}_{32}|=[2.28-2.46]\times10^{-3}\mbox{\,eV}^{2}$ (68% C.L.) and ${\sin }^2\hat{I}{¸}_{23}=0.35-0.65$ (90% C.L.) in the normal hierarchy, and $|Δm^{2}_{32}|=[2.32-2.53]\times10^{-3}\mbox{\,eV}^{2}$ (68% C.L.) and ${\sin }^2\hat{I}{¸}_{23}=0.34-0.67$ (90% C.L.) in the inverted hierarchy. The data also constrain $\hat{I}{´}_{CP}$, the $\hat{I}{¸}_{23}$ octant degeneracy and the mass hierarchy; we disfavor 36% (11%) of this three-parameter space at 68% (90%) C.L.

6 pages, 2 figures