ELECTRON POSITRON-ANNIHILATION IN THERMAL QCD

We present a two loop calculation of e+-e- annihilation into quarks and gluons at finite temperature in the framework of the real time formalism. We give a self-contained and pedagogical description of the calculation which relies on finite temperature cutting rules. Using a simpler infrared regularization than those of previous works, we confirm the cancellation of mass and infrared singularities, and give in addition a complete analytical and numerical evaluation of finite terms. Some delicate points linked to wave function renormalization are treated in full detail. © 1990.