Black hole interference patterns in flavour oscillations

TL;DR

This paper investigates how massive neutrino-like particles exhibit complex, long-range interference patterns when scattered by a black hole, combining analytical and numerical methods to explore their oscillation probabilities in curved spacetime.

Contribution

It introduces a novel numerical method to study flavor oscillations around black holes, capturing the full curved geometry and wave mixing effects, revealing complex interference patterns.

Findings

Interference patterns are non-trivial and long-range in curved spacetime.

Analytical and numerical approaches are consistent in describing oscillations.

The numerical method can be extended to more general curved geometries.

Abstract

Motivated by neutrino astronomy, we consider a plane wave of coupled and massive flavours, scattered by a static black hole, and describe analytically and numerically the corresponding oscillation probability in the surrounding space. Both the interpretation as particles travelling along geodesics and as scattered waves are studied, and consistently show a non-trivial and potentially long range interference pattern, in contrast to the spatially uniform transition probability in a flat spacetime. We introduce a numerical method for studying the oscillations around black holes, which accounts for the full curved geometry and flavour wave mixing. Whilst limited to the region immediately around the black hole, this numerical approach has the potential to be used in more general contexts, revealing the complex interference patterns which defy analytic methods.