Neutrino Oscillations in Gravitational Field

TL;DR

This paper calculates the gravitational correction to neutrino oscillation phases, clarifying discrepancies among previous results and providing a refined estimate close to some earlier findings.

Contribution

The paper derives a corrected gravitational phase difference for neutrino oscillations, resolving inconsistencies in prior calculations for Schwarzschild metrics.

Findings

Gravitational correction is approximately twice smaller than some previous estimates.

Results align closely with Bhattachary, Habib, and Mottola's findings.

Clarifies the magnitude of gravitational effects on neutrino oscillations.

Abstract

We calculate the gravitational correction to the phase difference between neutrino mass eigenstates. There is a number of papers, where this correction was calculated for the spherically symmetric gravitational field described by the Schwarzschild metric. The results of these papers differ from each other. Our result is close to that of Bhattachary, Habib and Mottola (see ref. [3,6]) and differs only by a coefficient: our correction is twice smaller.