Plasma influence on the neutrino - electron processes in a strong magnetic field

TL;DR

This paper investigates how a strong magnetic field and magnetized electron-positron plasma affect neutrino-electron interactions, providing new formulas for energy and momentum transfer relevant in astrophysical environments.

Contribution

It introduces the total contribution of all relevant neutrino-electron processes in a magnetized plasma, independent of electron-positron chemical potential, with simplified expressions for probability and energy loss.

Findings

Derived total process contribution independent of chemical potential

Provided simple formulas for neutrino energy and momentum losses

Facilitated quantitative analysis of neutrino propagation in magnetic fields

Abstract

An influence of the magnetized electron - positron plasma on the absorption and loss of the energy and momentum in a process of neutrino propagation is investigated. A total contribution of all crossed processes, $\nu \to \nu e^- e^+$, $\nu e^- \to \nu e^-$, $\nu e^+ \to \nu e^+$, $\nu e^- e^+ \to \nu$, is found for the first time, which appears not to depend on the chemical potential of electron-positron gas. Relatively simple expressions for the probability and mean losses of the neutrino energy and momentum are obtained, which are suitable for a quantitative analysis.