Transition Radiation by Neutrinos at an Edge of Magnetic Field

TL;DR

This paper calculates the probability of neutrino-induced transition radiation at a magnetic field boundary, considering standard-model neutrinos and magnetic field effects on photon properties.

Contribution

It provides an accurate, analytic expression for neutrino transition radiation probability at magnetic interfaces, incorporating magnetic field effects on neutrino-photon interactions.

Findings

Derived an analytic formula for transition radiation probability

Showed magnetic fields induce effective neutrino-photon vertices

Demonstrated photon dispersion relation modifications influence radiation

Abstract

We calculate the transition radiation process $\nu \to \nu \gamma$ at an interface of magnetic field and vacuum. The neutrinos are taken to be with only standard-model couplings. The magnetic field fulfills the dual purpose of inducing an effective neutrino-photon vertex and of modifying the photon dispersion relation. The transition radiation occurs when at least one of those quantities have different values in different media. The neutrino mass is ignored due to its negligible contribution. We present a result for the probability of the transition radiation which is both accurate and analytic.