Three-generation neutrino oscillations in curved spacetime

TL;DR

This paper investigates how curved spacetime affects three-generation neutrino oscillations, including gravitational corrections, modified mixing parameters, and potential observational signatures near singularities.

Contribution

It introduces a framework for analyzing neutrino oscillations in curved spacetime, incorporating gravitational effects on mixing and self-energy, and discusses hierarchy discrimination methods.

Findings

Gravitational redshift can significantly shift neutrino resonance energy.

Modified mixing parameters depend on spacetime curvature.

Gravitational effects on neutrino self-energy are notable near singularities.

Abstract

Three-generation MSW effect in curved spacetime is studied and a brief discussion on the gravitational correction to the neutrino self-energy is given. The modified mixing parameters and corresponding conversion probabilities of neutrinos after traveling through celestial objects of constant densities are obtained. The method to distinguish between the normal hierarchy and inverted hierarchy is discussed in this framework. Due to the gravitational redshift of energy, in some extreme situations, the resonance energy of neutrinos might be shifted noticeably and the gravitational effect on the self-energy of neutrino becomes significant at the vicinities of spacetime singularities.