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Feynman integrals that have been evaluated in dimensional regularization can be written in terms of generalized hypergeometric functions.
H. Frellesvig, F. Gasparotto, S. Laporta, M. K. Mandal, P. Mastrolia, L. Mattiazzi, and S. Mizera, Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
1901
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H. Frellesvig, F. Gasparotto, M. K. Mandal, P. Mastrolia, L. Mattiazzi, and S. Mizera, Vector Space of Feynman Integrals and Multivariate Intersection Numbers
1907
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F. Brown and C. Dupont, Lauricella hypergeometric functions, unipotent fundamental groups of the punctured Riemann sphere, and their motivic coactions
1907
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S. Abreu, R. Britto, C. Duhr, E. Gardi, and J. Matthew, From positive geometries to a coaction on hypergeometric functions
1910
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K. Matsumoto, Intersection numbers for logarithmic k k -forms
1998
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A. B. Goncharov, Multiple polylogarithms and mixed Tate motives
2001
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A. B. Goncharov, Galois symmetries of fundamental groupoids and noncommutative geometry
2002
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Springer Monographs in Mathematics. Springer Japan, 2011
K. Aomoto and M. Kita, Theory of Hypergeometric Functions · 2011
Cited alongside, same era.
F. C. S. Brown, Mixed Tate Motives over Spec ( ℤ ) \textrm{Spec}(\mathbb{Z})
2012
Cited alongside, same era.
C. Duhr, Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
2012
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F. Brown, Notes on Motivic Periods
2017
Cited alongside, same era.
E. Panzer and O. Schnetz, The Galois coaction on ϕ 4 \phi^{4} periods
2017
Cited alongside, same era.
F. Brown, Feynman amplitudes, coaction principle, and cosmic Galois group
2017
Later among the works it cites.
S. Abreu, R. Britto, C. Duhr, and E. Gardi, Algebraic Structure of Cut Feynman Integrals and the Diagrammatic Coaction
2017
Later among the works it cites.
S. Abreu, R. Britto, C. Duhr, and E. Gardi, Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
2017
Later among the works it cites.
N. Arkani-Hamed, Y. Bai, and T. Lam, Positive Geometries and Canonical Forms
2017
Later among the works it cites.
S. Mizera, Scattering Amplitudes from Intersection Theory
2018
Later among the works it cites.
P. Mastrolia and S. Mizera, Feynman Integrals and Intersection Theory
2019
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