Abstract

Hadronic lepton-pair production in perturbative QCD is calculated to order g 2 to be usable in combination with the existing calculation of the anomalous dimension of order g 4 . The structure function of the subprocess q + q → γ + anything in an arbitrary covariant gauge for gluons is found to have gauge-dependent contributions which are exactly cancelled by contributions from operator matrix elements to give the gauge-independent “coefficient function” for lepton-pair production in the minimal subtraction scheme. This provides a consistency check of the perturbative QCD recipe. A comparison is made with other existing calculations.

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