Diagrammatic Coaction of Two-Loop Feynman Integrals

Understand

It is known that one-loop Feynman integrals possess an algebraic structure encoding some of their analytic properties called the coaction, which can be written in terms of Feynman integrals and their cuts.

• This diagrammatic coaction, and the coaction on other classes of integrals such as hypergeometric functions, may be expressed using suitable bases of differential forms and integration contours.
• This provides a useful framework for computing coactions of Feynman integrals expressed using the hypergeometric functions.
• We will discuss examples where this technique has been used in the calculation of two-loop diagrammatic coactions.