A low energy neutrino factory for large ${\theta }_{13}$

Abstract

If the value of ${\theta }_{13}$ is within the reach of the upcoming generation of long-baseline experiments, T2K and NO$\nu$A, we show that a low-energy neutrino factory, with peak energy in the few GeV range, would provide a sensitive tool to explore CP-violation and the neutrino mass hierarchy. We consider baselines with typical length 1000--1500 km. The unique performance of the low energy neutrino factory is due to the rich neutrino oscillation pattern at energies between 1 and 4 GeV at baselines $\mathcal{O}(1000)$ km. We perform both a semi-analytical study of the sensitivities and a numerical analysis to explore how well this setup can measure ${\theta }_{13}$, CP-violation, and determine the type of mass hierarchy and the ${\theta }_{23}$ quadrant. A low energy neutrino factory provides a powerful tool to resolve ambiguities and make precise parameter determinations, for both large and fairly small values of the mixing parameter ${\theta }_{13}$.

15 pages, 8 figures

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