The 3-loop QCD calculation of the moments of deep inelastic structure functions Original Research Article

We present the analytic next-to-next-to-leading perturbative QCD corrections in the leading twist approximation for the moments N = 2, 4, 6, 8 of the flavour singlet deep inelastic structure functions F2 and FL. We calculate the 3-loop anomalous dimensions of the corresponding singlet operators and the 3-loop coefficient functions of the structure functions FL and F2. In addition, we obtained the 10th moment for the non-singlet structure functions in the same order of perturbative QCD. We perform an analysis of the obtained results.