Legendre expansion of the ν ¯ ν ⇀ ↽ e + e − kernel: Influence of high order terms. Abstract We calculate the Legendre expansion of the rate of the process ν + ¯ ν ↔ e + + e − up to 3 rd order extending previous results of other authors which only consider the 0 th and 1 st order terms. Using different closure relations for the moment equations of the radiative transfer equation we discuss the p...