Can a Dehnen-type dark matter halo affect the neutrino flavor oscillations?

TL;DR

This paper investigates how a Dehnen-type dark matter halo around a black hole influences neutrino oscillations, deriving analytic expressions and showing potential for neutrino oscillations to probe dark matter distributions.

Contribution

It provides the first analytic expressions for neutrino oscillation phases in a black hole with a dark matter halo and explores how halo parameters affect oscillation behavior.

Findings

Dark matter halo modifies neutrino oscillation phase and damping.

Neutrino oscillations show measurable deviations due to dark matter presence.

Results suggest neutrino oscillations can probe dark matter around black holes.

Abstract

The gravitational weak lensing of neutrinos in the presence of a Schwarzschild black hole surrounded by a Dehnen-type dark matter halo is investigated. The event horizon structure is explored, and the existence of the BH is studied in two different slices of the parameter space. Additionally, we derive analytic expressions for the oscillation phase and transition probabilities for both radial and non-radial neutrino propagation. Finally, we use a two-flavor toy model, and numerically analyze how the dark matter halo parameters as density and scale radius, affect oscillation probabilities and examine the role of decoherence. The results show that the presence of a dark matter halo modifies the oscillation phase and damping factor, leading to measurable deviations from the standard Schwarzschild BH case. These findings suggest that neutrino oscillations could, in principle, serve as a probe for dark matter distributions around compact astrophysical objects.