# YTF 20

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

## Determining the Coaction of two-loop Feynman Diagrams

Dec 16, 2020, 12:00 PM
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.

Will you be pre-recording your talk? No Yes Yes 15-25 minutes

### Primary author

Aris Ioannou (University of Edinburgh)