Automatic reduction of four-loop bubbles

Abstract

We give technical details about the computational strategy employed in a recently completed investigation of the four-loop QCD free energy. In particular, the reduction step from generic vacuum bubbles to master integrals is described from a practical viewpoint, for fully massive as well as QED-type integrals.

arXiv comment5 pages. Talk presented at RADCOR/Loops and Legs 2002, Kloster Banz, Germany

References in corpus (8)

• New features of FORM
• Connection between Feynman integrals having different values of the space-time dimension
• Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
• High-precision e-expansions of massive four-loop vacuum bubbles
• Automatic Computation of Feynman Diagrams
• Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass
• A simple way to generate high order vacuum graphs
• Three-loop vacuum integrals in FORM and REDUCE

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