15–16 Dec 2020
Centre for Particle Theory, Durham
Europe/London timezone

Determining the Coaction of two-loop Feynman Diagrams

16 Dec 2020, 12:00
30m
Teams (Centre for Particle Theory, Durham)

Teams

Centre for Particle Theory, Durham

IPPP & Dept. Mathematical Sciences Durham University South Road Durham DH1 3LE

Speaker

Aris Ioannou (University of Edinburgh)

Description

The diagrammatic coaction is a conjectural statement regarding the algebraic and analytic structure of Feynman integrals. The beauty of the coaction on Feynman diagrams is that its form can be formulated through simple diagrammatic rules, based on "cutting" and "contracting" subsets of propagators, without any reference to the particular functions that the integrals evaluate to. However, in order to establish the coaction, and determine its precise structure given a particular basis of integrals, one needs to evaluate the corresponding integrals and their cuts and establish the relations between them. In this talk, I will go into the techniques used for the two-loop cut integral evaluations to all orders in the dimensional regularization parameter $\epsilon$ and how the results can be used to determine the diagrammatic coaction of two-loop Feynman Integrals.

Length of talk 15-25 minutes
Would you be interested in receiving feedback on your talk? Yes
Are you happy for your talk to be recorded? Yes
Will you be pre-recording your talk? No

Primary author

Aris Ioannou (University of Edinburgh)

Presentation materials