What would it take to determine the neutrino mass hierarchy if $θ_{13}$ were too small?

Details What would it take to determine the neutrino mass hierarchy if $θ_{13}$ were too small? What would it take to determine the neutrino mass hierarchy if $θ_{13}$ were too small?

2005-09-29

arxiv.org/abs/hep-ph/0509359v1

Phys.Rev. D73 (2006) 033003

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 10 color figures

Scientific paper

We discuss the experimental requirements for a mass hierarchy measurement for $\theta_{13}=0$ using muon neutrino disappearance. We find that a specially optimized neutrino factory at $L \simeq 6 \,000 \, \mathrm{km}$ could do this measurement using extreme luminosities. In particular, we do not require charge identification for this purpose. In order to measure the mass hierarchy for more adequate luminosities, we explore the capabilities of low energy narrow band off-axis beams, which have relatively more events at low energies. We find that, in this case, the energy resolution of the detector quickly becomes the limiting factor of the measurement, and significantly affects the baseline optimization for determining the mass hierarchy.

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