Coproducts of Multi-Loop Feynman Integrals
Lead Research Organisation:
University of Edinburgh
Department Name: Sch of Physics and Astronomy
Abstract
It is known that for one loop Feynman integrals there is a correspondence between a certain graphical coproduct and the coproduct of polylogarithms. It has recently been conjectured that the coproduct of a general integral may be expressed in a simple form (the so called master formula) involving master integrals and their corresponding contours. We seek to apply this idea to multi-loop Feynman integrals evaluating to Hypergeometric type functions to derive examples of a graphical coproduct beyond one loop. We will also explore the possible coproduct structure on elliptic functions required for the study of more general multi-loop integrals. Eventually it is hoped to obtain a fully general graphical coproduct for multi-loop integrals.
Organisations
People |
ORCID iD |
Einan Gardi (Primary Supervisor) | |
James Matthew (Student) |
Publications
Abreu S
(2020)
From positive geometries to a coaction on hypergeometric functions
in Journal of High Energy Physics
Abreu S.
(2019)
Generalized hypergeometric functions and intersection theory for Feynman integrals
in Proceedings of Science
Abreu S.
(2019)
Diagrammatic coaction of two-loop Feynman integrals
in Proceedings of Science
Britto R
(2018)
Coaction for Feynman integrals and diagrams
Matthew J
(2019)
Diagrammatic Coaction of Two-Loop Feynman Integrals
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
ST/N504051/1 | 30/09/2015 | 30/03/2021 | |||
1853158 | Studentship | ST/N504051/1 | 30/09/2016 | 30/03/2020 | James Matthew |