Probing neutrino mass hierarchies and $ϕ_{13}$ with supernova neutrinos
| dc.creator | Chiu, Shao-Hsuan | |
| dc.creator | Kuo, T. K. | |
| dc.date | 2005-11-30 | |
| dc.date | 2006-02-27 | |
| dc.date.accessioned | 2026-07-07T06:50:12Z | |
| dc.date.available | 2026-07-07T06:50:12Z | |
| dc.description | We investigate the feasibility of probing the neutrino mass hierarchy and the mixing angle $ϕ_{13}$ with the neutrino burst from a future supernova. An inverse power-law density $ρ\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 $ν_{e}$ and $\barν_{e}$ are shown to reduce to two-dimensional functions of $n$ and $ϕ_{13}$. It is found that in the $n-\sin^{2} ϕ_{13}$ parameter space, the 3D plots of the probability functions exhibit highly non-trivial structures that are sensitive to the mass hierarchy, the mixing angle $ϕ_{13}$, 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. | |
| dc.description | 16 pages, 3 figures. Ref [11] added, and some typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0511345 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0511345 | |
| dc.identifier | Phys. Rev. D 73, 033007 (2006) | |
| dc.identifier | doi:10.1103/PhysRevD.73.033007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104606 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Probing neutrino mass hierarchies and $ϕ_{13}$ with supernova neutrinos | |
| dc.type | text |