Neutrino Oscillation Physics Potential of the T2K Experiment

Abstract

The observation of the recent electron neutrino appearance in a muon neutrino beam and the high-precision measurement of the mixing angle ${\theta }_{13}$ have led to a re-evaluation of the physics potential of the T2K long-baseline neutrino oscillation experiment. Sensitivities are explored for CP violation in neutrinos, non-maximal ${\sin }^{2}2{\theta }_{23}$, the octant of ${\theta }_{23}$, and the mass hierarchy, in addition to the measurements of ${\delta }_{CP}$, ${\sin }^2{\theta }_{23}$, and $\Delta m_{32}^2$, for various combinations of $\nu$-mode and \(\barν\)-mode data-taking. With an exposure of $7.8\times 10^{21}$~protons-on-target, T2K can achieve 1-$\sigma$ resolution of 0.050(0.054) on ${\sin }^2{\theta }_{23}$ and $0.040(0.045)\times 10^{-3}{\mathrm{eV}}^2$ on $\Delta m_{32}^2$ for 100\%(50\%) neutrino beam mode running assuming ${\sin }^2{\theta }_{23}=0.5$ and $\Delta m_{32}^2=2.4\times 10^{-3}$ eV${}^2$. T2K will have sensitivity to the CP-violating phase ${\delta }_{\mathrm{CP}}$ at 90\% C.L. or better over a significant range. For example, if ${\sin }^{2}2{\theta }_{23}$ is maximal (i.e ${\theta }_{23}$=$45^{\circ }$) the range is $-115^{\circ }<{\delta }_{\mathrm{CP}}<-60^{\circ }$ for normal hierarchy and $+50^{\circ }<{\delta }_{\mathrm{CP}}<+130^{\circ }$ for inverted hierarchy. When T2K data is combined with data from the NO$\nu$A experiment, the region of oscillation parameter space where there is sensitivity to observe a non-zero ${\delta }_{CP}$ is substantially increased compared to if each experiment is analyzed alone.

arXiv comment40 pages, 27 figures, accepted by PTEP

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