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Long baseline neutrino experiments, mass hierarchy and delta(CP)

, and . (2013)cite arxiv:1302.0779Comment: 26 pages, 10 figures.

Abstract

We investigate the possibilities offered by the long baseline experiments T2K, No$\nu$a, LBNE and LAGUNA for the evaluation of the neutrino mass hierarchy and CP violating phase $\delta_CP$. We consider a neutrino and antineutrino energy in the interval 0.5,12 GeV. It is found that the clearest possible distinction between the two hierarchy signatures is provided by LAGUNA for an (anti)neutrino energy $E_(\bar\nu)\nu0.5$ GeV in the $(\bar\nu_\mu \bar\nu_\mu) \nu_\mu\nu_\mu$ disappearance channel. For LBNE at $E_\bar\nu1$ GeV the $\bar\nu_\mu\bar\nu_\mu$ channel may also provide a distinction, although not so clear, and for No$\nu$a this may be even less clear. These results are essentially the same for the $þeta_23$ first and second octant solutions. As for $\delta_CP$ determination, LAGUNA also offers the best chances at $E_\bar\nu0.5$ GeV in the $\bar\nu_\mu\bar\nu_e$ channel with $þeta_23$ in either octant. Regarding nonstandard interactions, the best possibility for their investigation resides in No$\nu$a whose source-far detector distance can become a magic baseline if the hierarchy is normal for channels $\nu_\mu\rightarrow \nu_\mu$, $\bar\nu_\mu\bar\nu_e$, $\bar\nu_\mu\rightarrow \bar\nu_\mu$ with energy (8.9-9.1) GeV, (11.6-12) GeV, (8.8-12) GeV. If the hierarchy is inverse, magic baselines for No$\nu$a occur for $\nu_\mu\nu_e$, $\nu_\mu\nu_\mu$, and $\bar\nu_\mu\bar\nu_\mu$ with energy (11.8-12) GeV, (8.9-12.3) GeV, (8.8-8.9) GeV. For LAGUNA a magic baseline appears for the $\bar\nu_\mu\bar\nu_\mu$ channel only at (4.7-5.0) GeV in inverse hierarchy. We have also investigated a possible complementarity between T2K and No$\nu$a.

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Long baseline neutrino experiments, mass hierarchy and delta(CP)

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