Alternative method of Reduction of the Feynman Diagrams to a set of Master Integrals

Abstract

We propose a new set of Master Integrals which can be used as a basis for certain multiloop calculations in massless gauge field theories. In these theories we consider three-point Feynman diagrams with arbitrary number of loops. The corresponding multiloop integrals may be decomposed in terms of this set of the Master Integrals. We construct a new reduction procedure which we apply to perform this decomposition.

6 pages, 3 figures, Talk at ACAT 2016, Valparaiso, Chile, to appear in Proceedings of ACAT 2016

References in corpus (5)

• Towards the two-loop Lcc vertex in Landau gauge
• Fourier transforms of UD integrals
• Gluon self-interaction in the position space in Landau gauge
• Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions
• Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1