Fourth-order quantum-chromodynamic corrections to the longitudinal coefficient function in deep-inelastic scattering

Abstract

We calculate the first non-leading-logarithmic corrections to the nonsinglet longitudinal structure function of deep-inelastic scattering, using the operator-product expansion and the renormalization group. We use dimensional regularization to regulate both ultraviolet and infrared divergences. We discuss the renormalization-scheme dependence of our result and its phenomenological implications.