New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering

Abstract

We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of $N$ for neutral and charged current reactions in the asymptotic region $Q^2\gg m^2$. Four new out of eight massive operator matrix elements and Wilson coefficients have been obtained recently. We also discuss recent results on Feynman graphs containing two-massive fermion lines and present complete results for the bubble topologies for all processes.

21 pages, 3 figures, LATEX

References in corpus (8)

• Mellin Moments of the {$O({\alpha }_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2\gg m^2$ and Anomalous Dimensions
• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
• A Refined Difference Field Theory for Symbolic Summation
• Two--Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O(ε)
• Evaluation of Multi-Sums for Large Scale Problems
• Parameterized Telescoping Proves Algebraic Independence of Sums
• Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals

Cited by in corpus (5)

• The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension
• The $O({\alpha }_s^2)$ Heavy Quark Corrections to Charged Current Deep-Inelastic Scattering at large Virtualities
• Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering
• 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines
• Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering