Determining the sign of $Δ_{31}$ at long baseline neutrino experiments

Details Determining the sign of $Δ_{31}$ at long baseline neutrino experiments Determining the sign of $Δ_{31}$ at long baseline neutrino experiments

2000-11-24

arxiv.org/abs/hep-ph/0011297v2

Mod.Phys.Lett. A16 (2001) 1881-1886

Physics

High Energy Physics

High Energy Physics - Phenomenology

Title changed and paper rewritten. 4 pages, 1 figure, revtex

Scientific paper

10.1142/S0217732301004984

Recently it is advocated that high intensity and low energy $(E_\nu \sim 2 GeV)$ neutrino beams should be built to probe the $(13)$ mixing angle $\phi$ to a level of a few parts in $10^4$. Experiments using such beams will have better signal to background ratio in searches for $\nu_\mu \to \nu_e$ oscillations. We propose that such experiments can also determine the sign of $\Delta_{31}$ even if the beam consists of {\it neutrinos} only. By measuring the $\nu_\mu \to \nu_e$ transitions in two different energy ranges, the effects due to propagation of neutrinos through earth's crust can be isolated and the sign of $\Delta_{31}$ can be determined. If the sensitivity of an experiment to $\phi$ is $\epsilon$, then the same experiment is automatically sensitive to matter effects and the sign of $\Delta_{31}$ for values of $\phi \geq 2 \epsilon$.

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