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

We investigate the possibilities offered by the long baseline experiments T2K, No$ν$a, LBNE and LAGUNA for the evaluation of the neutrino mass hierarchy and CP violating phase $δ_{CP}$. 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 $E_{(\barν)ν}\simeq 0.5$ GeV in the $(\barν_μ \rightarrow \barν_μ) ν_μ\rightarrow ν_μ$ disappearance channel. For LBNE at $E_{\barν}\simeq 1$ GeV the $\barν_μ\rightarrow \barν_μ$ channel may also provide a distinction, although not so clear, and for No$ν$a this may be even less clear. These results are essentially the same for the $θ_{23}$ first and second octant solutions. As for $δ_{CP}$ determination, LAGUNA also offers the best chances at $E_{\barν}\simeq 0.5$ GeV in the $\barν_μ\rightarrow \barν_{e}$ channel with $θ_{23}$ in either octant. Regarding nonstandard interactions, the best possibility for their investigation resides in No$ν$a whose source-far detector distance can become a magic baseline if the hierarchy is normal for channels $ν_μ\rightarrow ν_μ$, $\barν_μ\rightarrow \barν_{e}$, $\barν_μ\rightarrow \barν_μ$ with energy (8.9-9.1) GeV, (11.6-12) GeV, (8.8-12) GeV. If the hierarchy is inverse, magic baselines for No$ν$a occur for $ν_μ\rightarrow ν_{e}$, $ν_μ\rightarrow ν_μ$, and $\barν_μ\rightarrow \barν_μ$ with energy (11.8-12) GeV, (8.9-12.3) GeV, (8.8-8.9) GeV. For LAGUNA a magic baseline appears for the $\barν_μ\rightarrow \barν_μ$ channel only at (4.7-5.0) GeV in inverse hierarchy. We have also investigated a possible complementarity between T2K and No$ν$a.

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