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The Diagrammatic Coaction and Cuts of the Double Box

by Einan Gardi, Aris Ioannou

Submission summary

As Contributors: Aris Ioannou
Arxiv Link: https://arxiv.org/abs/2111.01498v2 (pdf)
Date submitted: 2021-11-05 15:25
Submitted by: Ioannou, Aris
Submitted to: SciPost Physics Proceedings
Proceedings issue: RADCOR 2021 (15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology)
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

The diagrammatic coaction encodes the analytic structure of Feynman integrals by mapping any given Feynman diagram into a tensor product of diagrams defined by contractions and cuts of the original diagram. Feynman integrals evaluate to generalized hypergeometric functions in dimensional regularization. Establishing the coaction on this type of functions has helped formulating and checking the diagrammatic coaction of certain two-loop integrals. In this talk we study its application on the fully massless double box diagram. We make use of differential equation techniques, which, together with the properties of homology and cohomology theory of the resulting hypergeometric functions, allow us to formulate the coaction on a range of cuts of the double box in closed form.

Current status:
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Resubmission 2111.01498v2 on 5 November 2021

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