Coaction for Feynman integrals and diagrams

Samuel Abreu; Ruth Britto; Claude Duhr; Einan Gardi; James Matthew

doi:10.22323/1.303.0047

Coaction for Feynman integrals and diagrams

Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi, James Matthew

School of Physics and Astronomy

Research output: Contribution to journal › Article

Abstract

We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagrams, such as multiple polylogarithms and generalized hypergeometric functions. We further conjecture a link between this coaction and graphical operations on Feynman diagrams. At one-loop order, there is a basis of integrals for which this correspondence is fully explicit. We discuss features and present examples of the diagrammatic coaction on two-loop integrals. We also present the coaction for the functions ${}_{p+1}F_p$ and Appell $F_1$.

Original language	English
Journal	Proceedings of Science
Volume	LL2018
Issue number	047
DOIs	https://doi.org/10.22323/1.303.0047
Publication status	Published - 2 Oct 2018

Keywords / Materials (for Non-textual outputs)

hep-th
hep-ph

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10.22323/1.303.0047Licence: Creative Commons: Attribution (CC-BY)

1808.00069v1Licence: Creative Commons: Attribution (CC-BY)

Particle Theory at the Higgs Centre
Ball, R. (Principal Investigator), Boyle, P. (Co-investigator), Del Debbio, L. (Co-investigator), Gardi, E. (Co-investigator), Horsley, R. (Co-investigator), Kennedy, A. (Co-investigator), O'Connell, D. (Co-investigator), Smillie, J. (Co-investigator) & Zwicky, R. (Co-investigator)
STFC
1/10/17 → 30/09/21
Project: Research

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abstract = " We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagrams, such as multiple polylogarithms and generalized hypergeometric functions. We further conjecture a link between this coaction and graphical operations on Feynman diagrams. At one-loop order, there is a basis of integrals for which this correspondence is fully explicit. We discuss features and present examples of the diagrammatic coaction on two-loop integrals. We also present the coaction for the functions ${}_{p+1}F_p$ and Appell $F_1$. ",

keywords = "hep-th, hep-ph",

author = "Samuel Abreu and Ruth Britto and Claude Duhr and Einan Gardi and James Matthew",

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AU - Abreu, Samuel

AU - Britto, Ruth

AU - Duhr, Claude

AU - Gardi, Einan

AU - Matthew, James

N1 - 10 pages, talk given at Loops and Legs in Quantum Field Theory 2018

PY - 2018/10/2

Y1 - 2018/10/2

N2 - We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagrams, such as multiple polylogarithms and generalized hypergeometric functions. We further conjecture a link between this coaction and graphical operations on Feynman diagrams. At one-loop order, there is a basis of integrals for which this correspondence is fully explicit. We discuss features and present examples of the diagrammatic coaction on two-loop integrals. We also present the coaction for the functions ${}_{p+1}F_p$ and Appell $F_1$.

AB - We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagrams, such as multiple polylogarithms and generalized hypergeometric functions. We further conjecture a link between this coaction and graphical operations on Feynman diagrams. At one-loop order, there is a basis of integrals for which this correspondence is fully explicit. We discuss features and present examples of the diagrammatic coaction on two-loop integrals. We also present the coaction for the functions ${}_{p+1}F_p$ and Appell $F_1$.

KW - hep-th

KW - hep-ph

U2 - 10.22323/1.303.0047

DO - 10.22323/1.303.0047

M3 - Article

SN - 1824-8039

VL - LL2018

JO - Proceedings of Science

JF - Proceedings of Science

IS - 047

ER -

Coaction for Feynman integrals and diagrams

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Particle Theory at the Higgs Centre

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