Neutrino self-energy in a magnetized charge-symmetric medium

TL;DR

This paper calculates the neutrino self-energy in a CP-symmetric, magnetized medium, considering weak magnetic fields and including all-order electron propagator corrections, relevant for astrophysical plasma conditions.

Contribution

It provides a novel calculation of neutrino self-energy incorporating linear magnetic field effects on W-boson propagator and all-order electron propagator corrections in a CP-symmetric plasma.

Findings

Neutrino self-energy depends linearly on magnetic field strength.

Electron propagator corrections are summed to all orders.

Results are applicable to astrophysical environments with weak magnetic fields.

Abstract

In this talk we present the calculation of the neutrino self-energy in presence of a magnetized medium. The magnetized medium consists of electrons, positrons, neutrinos and a uniform classical magnetic field. The background magnetic field is assumed to be weak compared to the $W$-Boson mass as a consequence of which only linear order corrections in the field are included in the $W$ boson propagator. The electron propagator consists all order corrections in the background field. Our calculation is specifically suited for situations where the background plasma may be CP symmetric.