Neutrino Factories and the "Magic" Baseline

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Details

Minor changes, final version to appear in PRD, 4 pages, 3 figures, RevTeX

Scientific paper

10.1103/PhysRevD.68.037301

We show that for a neutrino factory baseline of $L \sim 7300 km - 7 600 km$ a ``clean'' measurement of $\sin^2 2 \theta_{13}$ becomes possible, which is almost unaffected by parameter degeneracies. We call this baseline "magic" baseline, because its length only depends on the matter density profile. For a complete analysis, we demonstrate that the combination of the magic baseline with a baseline of 3000 km is the ideal solution to perform equally well for the $\sin^2 2 \theta_{13}$, sign of $\Delta m_{31}^2$, and CP violation sensitivities. Especially, this combination can very successfully resolve parameter degeneracies even below $\sin^2 2 \theta_{13} < 10^{-4}$.

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