The elements, theoretical basis, and experimental status of perturbative quantum
chromodynamics are presented. Relevant field-theoretic methods are introduced at a …

The analytic integration and simplification of multi-loop Feynman integrals to special
functions and constants plays an important role to perform higher order perturbative …

We calculate the unpolarized and polarized three–loop anomalous dimensions and splitting
functions P NS+, P NS− and P NS s in QCD in the MS‾ scheme by using the traditional …

A bstract Future high luminosity polarized deep-inelastic scattering experiments will improve
both the knowledge of the spin sub-structure of the nucleons and contribute further to the …

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor
contributions to the structure function F 2 (x, Q 2) in the asymptotic region Q 2≫ m 2 and the …

We calculate the quarkonic O (α s 2) massive operator matrix elements Δ AQ g (N), Δ AQ q
PS (N) and Δ A qq, Q NS (N) for the twist–2 operators and the associated heavy flavor …

We calculate the massive unpolarized operator matrix element A gq (3)(N) to 3-loop order in
Quantum Chromodynamics at general values of the Mellin variable N. This is the first …

An overview is presented on the current status of main mathematical computation methods
for the multiloop corrections to single-scale observables in quantum field theory and the …

We calculate the polarized massive operator matrix element A gq (3)(N) to 3-loop order in
Quantum Chromodynamics analytically at general values of the Mellin variable N both in the …

We calculate the O (αs2) massive operator matrix elements for the twist-2 operators, which
contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in …