Diagrammatic Coaction of Two-Loop Feynman Integrals

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

doi:10.22323/1.375.0065

Diagrammatic Coaction of Two-Loop Feynman Integrals

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

School of Physics and Astronomy

Research output: Contribution to conference › Paper

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.

Original language	English
DOIs	https://doi.org/10.22323/1.375.0065
Publication status	Published - 18 Feb 2020
Event	14th International Symposium on Radiative Corrections: RADCOR 2019 - Centre des congres du Palais des Papes, Avignon, France Duration: 9 Sept 2019 → 13 Sept 2019

Conference

Conference	14th International Symposium on Radiative Corrections
Country/Territory	France
City	Avignon
Period	9/09/19 → 13/09/19

Keywords / Materials (for Non-textual outputs)

hep-th

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10.22323/1.375.0065Licence: Creative Commons: Attribution (CC-BY)

RADCOR2019_065Final published version, 205 KBLicence: Creative Commons: Attribution (CC-BY)

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

Cite this

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title = "Diagrammatic Coaction of Two-Loop Feynman Integrals",

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. ",

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

note = "10 pages, talk given at RADCOR 2019; 14th International Symposium on Radiative Corrections : RADCOR 2019 ; Conference date: 09-09-2019 Through 13-09-2019",

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T1 - Diagrammatic Coaction of Two-Loop Feynman Integrals

AU - Abreu, Samuel

AU - Britto, Ruth

AU - Duhr, Claude

AU - Gardi, Einan

AU - Matthew, James

N1 - 10 pages, talk given at RADCOR 2019

PY - 2020/2/18

Y1 - 2020/2/18

N2 - 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.

AB - 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.

KW - hep-th

U2 - 10.22323/1.375.0065

DO - 10.22323/1.375.0065

M3 - Paper

T2 - 14th International Symposium on Radiative Corrections

Y2 - 9 September 2019 through 13 September 2019

ER -

Diagrammatic Coaction of Two-Loop Feynman Integrals

Abstract

Conference

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Projects

Particle Theory at the Higgs Centre

Cite this