Evaluating Two-Loop massive Operator Matrix Elements with Mellin-Barnes Integrals

Abstract

We calculate massive 5-propagator 2-loop integrals for operator matrix elements in the light-cone expansion, using Mellin-Barnes techniques and representations through generalized hypergeometric functions.

6 pages, 3 figures, 1 style file, to appear in the Proceedings of "Loops and Legs in Quantum Field Theory 2006", Eisenach, April, 2006

References in corpus (7)

• Automatized analytic continuation of Mellin-Barnes integrals
• - XSummer - Transcendental Functions and Symbolic Summation in Form
• Analytic Continuation of the Harmonic Sums for the 3--Loop Anomalous Dimensions
• Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions
• The planar four-point master integrals for massive two-loop Bhabha scattering
• Evaluating multiloop Feynman integrals by Mellin-Barnes representation
• O(α_s^3) contributions to F_L^{Q\bar{Q}}(x,Q^2) for large virtualities

Cited by in corpus (8)

• Two-Loop Massive Operator Matrix Elements and Unpolarized Heavy Flavor Production at Asymptotic Values Q^2 >> m^2
• Two--Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O(ε)
• Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements
• Geometrical approach to causality in multi-loop amplitudes
• Quantum algorithm for Feynman loop integrals
• Calculation of Massive 2-Loop Operator Matrix Elements with Outer Gluon Lines
• $O({\alpha }_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2\gg m^2$
• Z-Sum Approach to Loop Integrals using Taylor Expansion