Deep Inelastic Structure Functions at two Loops
S. Moch, J.A.M. Vermaseren
TL;DR
This paper analytically computes the second-order perturbative QCD corrections to the Mellin moments of deep inelastic structure functions F_2, F_3, and F_L, confirming previous results and advancing theoretical understanding.
Contribution
It provides the first complete analytic calculation of two-loop contributions to structure functions and their anomalous dimensions in leading twist approximation.
Findings
Calculated 2-loop anomalous dimensions for singlet and non-singlet operators.
Derived 2-loop coefficient functions for F_2, F_3, and F_L.
Confirmed consistency with previous numerical results.
Abstract
We present the analytic calculation of the Mellin moments of the structure functions F_2, F_3 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, F_3 and F_L. We perform the inverse Mellin transformation analytically and find our results in agreement with earlier calculations in the literature by Zijlstra and van Neerven.
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