Deep-inelastic structure functions at two loops Original Research Article

We present the analytic calculation of the Mellin moments of the structure functions F2, F3 and FL in perturbative QCD up to second-order corrections and in leading twist approximation. We calculate the two-loop contributions to the anomalous dimensions of the singlet and non-singlet operator matrix elements and the two-loop coefficient functions of F2, F3 and FL. We perform the inverse Mellin transformation analytically and find our results in agreement with earlier calculations in the literature by Zijlstra and van Neerven.