Master integrals for massless three-loop form factors
arXiv:1001.3132
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/epsilon^6. 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.
8 pages, 1 figure; talk given at RADCOR 2009 - 9th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), October 25 - 30 2009, Ascona, Switzerland
References in corpus (7)
- Quark and gluon form factors to three loops
- HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
- Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
- On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
- Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
- Calculation of Massless Feynman Integrals using Harmonic Sums
- Methods for the Reduction of Three-Loop QCD Form Factors