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