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Volume 375 - 14th International Symposium on Radiative Corrections (RADCOR2019) - Integral Techniques
Diagrammatic Coaction of Two-Loop Feynman Integrals
S. Abreu, R. Britto, C. Duhr, E. Gardi, J. Matthew*
*corresponding author
Full text: pdf
Pre-published on: 2019 December 19
Published on: 2020 February 18
Abstract
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.
DOI: https://doi.org/10.22323/1.375.0065
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