Probing neutrino mass hierarchies and $φ_{13}$ with supernova neutrinos

Details Probing neutrino mass hierarchies and $φ_{13}$ with supernova neutrinos Probing neutrino mass hierarchies and $φ_{13}$ with supernova neutrinos

2005-11-30

arxiv.org/abs/hep-ph/0511345v3

Phys. Rev. D 73, 033007 (2006)

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 3 figures. Ref [11] added, and some typos corrected

Scientific paper

10.1103/PhysRevD.73.033007

We investigate the feasibility of probing the neutrino mass hierarchy and the mixing angle $\phi_{13}$ with the neutrino burst from a future supernova. An inverse power-law density $\rho \sim r^{n} $ with varying $n$ is adopted in the analysis as the density profile of a typical core-collapse supernova. The survival probabilities of $\nu_{e}$ and $\bar{\nu}_{e}$ are shown to reduce to two-dimensional functions of $n$ and $\phi_{13}$. It is found that in the $n-\sin^{2} \phi_{13}$ parameter space, the 3D plots of the probability functions exhibit highly non-trivial structures that are sensitive to the mass hierarchy, the mixing angle $\phi_{13}$, and the value of $n$. The conditions that lead to observable differences in the 3D plots are established. With the uncertainty of $n$ considered, a qualitative analysis of the Earth matter effect is also included.

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