21-25 August 2017
University of Washington, Seattle
US/Pacific timezone

The R* operation and combinatorial challenges at five loops

21 Aug 2017, 14:00
20m
106 (Alder Hall)

106

Alder Hall

Oral Track 3: Computations in Theoretical Physics: Techniques and Methods Track 3: Computations in Theoretical Physics: Techniques and Methods

Speaker

Ben Ruijl (Nikhef)

Description

We show how an extended version of the R* operation, a method to remove UV and soft IR divergences, can be used to calculate the poles of Feynman diagrams with arbitrary tensor structure from diagrams with fewer loops. We discuss solutions to combinatorial problems we encountered during the computation of the five loop QCD beta function, such as postponing Feynman rule substitutions, integral isomorphisms, and efficient tensor reductions.

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