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arXiv · 2312.07015

QED corrections to the thermal neutrino interaction rate

G. Jackson·M. Laine
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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.

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G. Jackson, M. Laine. 2023-12-12. QED corrections to the thermal neutrino interaction rate. https://doi.org/10.1007/jhep05(2024)089

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