Generalized hypergeometric functions and intersection theory for Feynman integrals - INSPIRE

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Generalized hypergeometric functions and intersection theory for Feynman integrals

Samuel Abreu
(
- Louvain U., CP3
)
,
Ruth Britto
(
)
,
Claude Duhr
(
- CERN
)
,
Einan Gardi
(
- U. Edinburgh, Higgs Ctr. Theor. Phys.
)
,
James Matthew
(
- U. Edinburgh, Higgs Ctr. Theor. Phys.
)

Dec 6, 2019

10 pages

Part of Proceedings, 14th International Symposium on Radiative Corrections: Application of Quantum Field Theory to Phenomenology (RADCOR 2019) : Avignon, France, September 9-13, 2019, 067

Published in:

PoS (2019) RACOR2019, 067

Contribution to:

- RADCOR 2019
, 067

Published: 2019

e-Print:

1912.03205 [hep-th]

DOI:

10.22323/1.375.0067

Report number:

CERN-TH-2019-219,
CP3-19-58

View in:

reference search18 citations

Citations per year

Abstract: (arXiv)

Feynman integrals that have been evaluated in dimensional regularization can be written in terms of generalized hypergeometric functions. It is well known that properties of these functions are revealed in the framework of intersection theory. We propose a new application of intersection theory to construct a coaction on generalized hypergeometric functions. When applied to dimensionally regularized Feynman integrals, this coaction reproduces the coaction on multiple polylogarithms order by order in the parameter of dimensional regularization.

Note:

10 pages, talk given at RADCOR 2019, based on arXiv:1910.08358. v2: F3 coaction formula fixed

regularization: dimensional
Feynman graph
loop integral
algebra
Laurent expansion
mathematical methods

References(18)

Figures(1)

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