Neutrino energy loss rate in a stellar plasma

Abstract

We review the purely leptonic neutrino emission processes, contributing to the energy loss rate of the stellar plasma. We perform a complete analysis up to the first order in the electromagnetic coupling constant. In particular the radiative electromagnetic corrections, at order $\alpha$, to the process $e^{+}{e}^{-}->\nu \bar{\nu }$ at finite density and temperature have been computed. This process gives one of the main contributions to the cooling of stellar interior in the late stages of star evolution. As a result of the analysis we find that the corrections affect the energy loss rate, computed at tree level, by a factor $(-4÷1)$ in the temperature and density region where the pair annihilation is the most efficient cooling mechanism.

41 pages, 11 eps figures

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