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
Matthew J
(2019)
Diagrammatic Coaction of Two-Loop Feynman Integrals
Britto R
(2018)
Coaction for Feynman integrals and diagrams
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
Abreu S
(2020)
From positive geometries to a coaction on hypergeometric functions
in Journal of High Energy Physics
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 |