The three-loop equal-mass banana integral in \(\varepsilon\)-factorised form with meromorphic modular forms
type: Item
instance of: scholarly article
title: The three-loop equal-mass banana integral in \(\varepsilon\)-factorised form with meromorphic modular forms
DOI: 10.1007/JHEP09(2022)062
author: Yanyan Li
published in: Journal of High Energy Physics
publication date: 2023-01-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/2207.12893
Mathematics Subject Classification ID: 81-XX
zbMATH DE Number: 7647426
zbMATH Keywords: differential and algebraic geometry
zbMATH Keywords: higher-order perturbative calculations
zbMATH Keywords: scattering amplitudes
zbMATH Keywords: higher order electroweak calculations
describes a project that uses: pySecDec
describes a project that uses: FIESTA
MaRDI profile type: Publication
Wikidata QID: Q114232532
cites work: Multiple polylogarithms, cyclotomy and modular complexes
cites work: Special values of multiple polylogarithms
cites work: Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
cites work: Non-planar massless two-loop Feynman diagrams with four on-shell legs
cites work: New method of massive \(N\)-point Feynman diagrams calculation
cites work: Differential equations for two-loop four-point functions.
cites work: The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case
cites work: The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\)
cites work: A Feynman integral depending on two elliptic curves
cites work: A Feynman integral via higher normal functions
cites work: Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
cites work: Meromorphic modular forms and the three-loop equal-mass banana integral
cites work: Analytic structure of all loop banana integrals
cites work: On epsilon factorized differential equations for elliptic Feynman integrals
cites work: Feynman integrals and iterated integrals of modular forms
cites work: Root lattices and pencils of varieties
cites work: Exact evaluation of the Green function for the anisotropic simple cubic lattice
cites work: Iterated primitives of meromorphic quasimodular forms for 𝑆𝐿₂(ℤ)
cites work: SecDec: A general program for sector decomposition
cites work: pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
cites work: A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
cites work: Picard-Fuchs equations for Feynman integrals
cites work: Q3632044
cites work: Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral
cites work: Q3412521
cites work: Numerical evaluation of iterated integrals related to elliptic Feynman integrals
cites work: Resolution of singularities for multi-loop integrals
cites work: Feynman integral evaluation by a sector decomposition approach (FIESTA)
cites work: \texttt{FIESTA 2}: parallelizeable multiloop numerical calculations
description: scientific article; zbMATH DE number 7647426