# QED corrections to the thermal neutrino interaction rate

**Authors:** G. Jackson, M. Laine  
**arXiv:** [2312.07015](https://arxiv.org/abs/2312.07015)  
**Date:** 2023-12-12  
**Summary page:** https://www.summarizepaper.com/fr/arxiv-id/2312.07015v1/

## Abstract

Motivated by precision computations of neutrino decoupling at MeV temperatures, we show how QED corrections to the thermal neutrino interaction rate can be related to the electron-positron spectral function as well as an effective $\bar{\nu}\nu\gamma$ vertex. The spectral function is needed both in a timelike and in a spacelike domain, and for both of its physical polarization states (transverse and longitudinal with respect to spatial momentum). Incorporating an NLO evaluation of this spectral function, an estimate of the $\bar{\nu}\nu\gamma$ vertex, and HTL resummation of scatterings mediated by soft Bose-enhanced $t$-channel photons, we compute the interaction rate as a function of the neutrino momentum and flavour. Effects on the $ -(0...2)\%$ level are found, noticeably smaller than a previous estimate of a related quantity.