Master integrals for massless three-loop form factors

2010/01/18 by Tobias Huber, Huber, T.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1001.3132

openalex publication_date 2010/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We summarize the results for the master integrals of the three-loop quark and gluon form factor in massless QCD. Working in dimensional regularization we extract poles up to 1/epsilon⁶. The computational techniques involve, among others, the expansion of higher transcendental functions and the Mellin-Barnes method. The coefficients of the Laurent expansion in epsilon are given either analytically or numerically to high precision.

Related

• Master Integrals for Four-Loop Massless Form Factors
• Methods for the Reduction of Three-Loop QCD Form Factors
• Three loop master integrals for O (αα_s²) corrections to quark form factor
• Massive three loop form factors in the planar limit
• Challenges for analytic calculations of the massive three-loop form factors