Probing neutrino mass hierarchies and ${\varphi }_{13}$ with supernova neutrinos

Abstract

We investigate the feasibility of probing the neutrino mass hierarchy and the mixing angle ${\varphi }_{13}$ 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 ${\varphi }_{13}$. It is found that in the $n-{\sin }^2{\varphi }_{13}$ parameter space, the 3D plots of the probability functions exhibit highly non-trivial structures that are sensitive to the mass hierarchy, the mixing angle ${\varphi }_{13}$, 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.

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

References in corpus (3)

• Connection between supernova shocks, flavor transformation, and the neutrino signal
• A precise analytical description of the Earth matter effect on oscillations of low energy neutrinos
• Probing the Origins of Neutrino Mass with Supernova Data

Cited by in corpus (8)

• Self-induced conversion in dense neutrino gases: Pendulum in flavour space
• Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova Neutrino Flavors
• Earth matter effects in supernova neutrinos: Optimal detector locations
• Probing neutrino oscillations from supernovae shock waves via the IceCube detector
• Realistic Earth matter effects and a method to acquire information about small θ_{13} in the detection of supernova neutrinos
• Signatures of the neutrino mass hierarchy in supernova neutrinos
• Density profiles of supernova matter and determination of neutrino parameters
• Resonant flavor conversion of supernova neutrinos and neutrino parameters