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Massive kite diagrams with elliptics - MaRDI portal

Massive kite diagrams with elliptics (Q2231895)

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scientific article

Language	Label	Description	Also known as
English	Massive kite diagrams with elliptics	scientific article

Statements

scholarly article

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Massive kite diagrams with elliptics (English)

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Andrei I. Onishchenko

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publication date

30 September 2021

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full work available at URL

https://arxiv.org/abs/2011.13337

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describes a project that uses

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MaRDI profile type

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New method of massive \(N\)-point Feynman diagrams calculation

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Multiple polylogarithms, cyclotomy and modular complexes

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HARMONIC POLYLOGARITHMS

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Reducing differential equations for multiloop master integrals

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Realizations of polylogarithms

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Elliptic associators

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The elliptic dilogarithm for the sunset graph

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The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms

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A Feynman integral via higher normal functions

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The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case

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The iterated structure of the all-order result for the two-loop sunrise integral

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The kite integral to all orders in terms of elliptic polylogarithms

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An elliptic generalization of multiple polylogarithms

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Elliptic Feynman integrals and pure functions

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Functional relations for elliptic polylogarithms

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The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\)

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Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph

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Feynman integrals and iterated integrals of modular forms

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Iterated elliptic and hypergeometric integrals for Feynman diagrams

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Two-loop sunset diagrams with three massive lines

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Two-loop diagrams in nonrelativistic QCD with elliptics

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All orders structure and efficient computation of linearly reducible elliptic Feynman integrals

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An automatized algorithm to compute infrared divergent multi-loop integrals.

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Numerical evaluation of multi-loop integrals by sector decomposition

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Numerical evaluation of phase space integrals by sector decomposition

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SECTOR DECOMPOSITION

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Resolution of singularities for multi-loop integrals

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A geometric method of sector decomposition

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FIESTA4: optimized Feynman integral calculations with GPU support

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Connection between Feynman integrals having different values of the space-time dimension

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Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral

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Nuclear Physics B

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.NUCLPHYSB.2020.115302

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Sitelinks

Mathematics(1 entry)

mardi Publication:2231895

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