Lepton-antilepton Annihilation in the Massless Schwinger Model

Abstract

We evaluate the next-to-leading order radiative corrections to a process in the massless Schwinger model that is the analogue of the $e^+e^-$ inclusive annihilation into hadrons process in QCD. We then carry out an asymptotic expansion of the calculable exact result and find that it agrees with the perturbative answer. However, we also find that higher orders in the asymptotic expansion involve terms that depend on the logarithm of the strong coupling constant.