The Mellin moments of deep inelastic structure functions at two loops
S. Moch, J.A.M. Vermaseren
TL;DR
This paper analytically computes the Mellin moments of deep inelastic structure functions F_2 and F_L in perturbative QCD up to two loops, providing detailed anomalous dimensions and coefficient functions within leading twist approximation.
Contribution
It presents the first complete two-loop calculation of Mellin moments for F_2 and F_L, including anomalous dimensions and coefficient functions, confirming previous results.
Findings
Two-loop anomalous dimensions for singlet and non-singlet operators calculated.
Two-loop coefficient functions for F_2 and F_L derived.
Results agree with earlier literature, validating the calculations.
Abstract
We perform the analytic calculation of the Mellin moments of the structure functions F_2 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the anomalous dimensions of the singlet and non-singlet operator matrix elements and the 2-loop coefficient functions of F_2 and F_L. Our results are in agreement with earlier calculations in the literature.
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