Neutrino self-energy in external magnetic field

TL;DR

This paper calculates the neutrino self-energy in a constant magnetic field using exact propagators, providing a simple formula applicable in certain field strength and momentum regimes, with implications for neutrino behavior in astrophysical environments.

Contribution

It presents an exact calculation of neutrino self-energy in a magnetic field within the minimal Weinberg-Salam model, including a simple formula valid for specific conditions.

Findings

Derived a simple, accurate formula for neutrino self-energy in magnetic fields.

Discussed effects on neutrino dispersion in vacuum and media.

Explored magnetic field induced neutrino resonance transitions in supernovae and magnetars.

Abstract

Using the exact propagators in a constant magnetic field, the neutrino self-energy has been calculated to all orders in the field strength B within the minimal extension of the Weinberg-Salam model with massive Dirac neutrinos. A simple and very accurate formula for the self-energy is obtained, that is valid for 0 < B << m^2_W/e and for and for neutrino transverse momentum to the magnetic field p_{\perp} << m_W. I discuss the implications of this finding to the dispersion of massless neutrinos in vacuum and in a charge-symmetric medium, and to the magnetic field induced resonance transitions of massive neutrinos inside supernovae and magnetars, and calculate the neutrino magnetic moment.