Earth matter effects at very long baselines and the neutrino mass hierarchy
Earth matter effects at very long baselines and the neutrino mass hierarchy
We study matter effects which arise in the muon neutrino oscillation and survival probabilities relevant to atmospheric neutrino and very long baseline ($>4000\text{ }\text{ }\mathrm{Km}$) beam experiments. The interrelations between the three probabilities ${\mathrm{P}}_{\ensuremath{\mu}\mathrm{e}}$, ${\mathrm{P}}_{\ensuremath{\mu}\ensuremath{\tau}}$, and ${\mathrm{P}}_{\ensuremath{\mu}\ensuremath{\mu}}$ are examined. It is shown that large and observable sensitivity to the neutrino …