Duals of Feynman integrals. I: Differential equations
type: Item
instance of: scholarly article
title: Duals of Feynman integrals. I: Differential equations
DOI: 10.1007/JHEP12(2021)045
author: A. Pokraka
author: Simon Caron-Huot
published in: Journal of High Energy Physics
publication date: 2022-10-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/2104.06898
Mathematics Subject Classification ID: 81-XX
zbMATH DE Number: 7601884
zbMATH Keywords: perturbative QCD
zbMATH Keywords: differential and algebraic geometry
zbMATH Keywords: scattering amplitudes
Wikidata QID: Q115390652
describes a project that uses: BlackHat
describes a project that uses: SAMURAI
describes a project that uses: Kira
describes a project that uses: CutTools
describes a project that uses: FIRE
describes a project that uses: Reduze
MaRDI profile type: Publication
cites work: Generalized unitarity and one-loop amplitudes in \(\mathcal N=1\) super-Yang-Mills
cites work: Reducing full one-loop amplitudes to scalar integrals at the integrand level
cites work: Direct extraction of one loop rational terms
cites work: Prescriptive unitarity
cites work: Prescriptive unitarity for non-planar six-particle amplitudes at two loops
cites work: Reduction of one-loop integrals with higher poles by unitarity cut method
cites work: Scattering amplitudes from unitarity-based reduction algorithm at the integrand-level
cites work: Analytic result for the nonplanar hexa-box integrals
cites work: The two-loop five-particle amplitude in $ \mathcal{N}=8$ supergravity
cites work: Singularities and Discontinuities of Feynman Amplitudes
cites work: The number of master integrals is finite
cites work: Critical points and number of master integrals
cites work: High-precision calculation of multiloop Feynman integrals by difference equations
cites work: A novel approach to integration by parts reduction
cites work: Kira -- a Feynman integral reduction program
cites work: FIRE6: Feynman integral reduction with modular arithmetic
cites work: Feynman integrals and intersection theory
cites work: Decomposition of Feynman integrals on the maximal cut by intersection numbers
cites work: From infinity to four dimensions: higher residue pairings and Feynman integrals
cites work: Decomposition of Feynman integrals by multivariate intersection numbers
cites work: Q3961493
cites work: Theory of Hypergeometric Functions
cites work: Q5515310
cites work: Symbols of one-loop integrals from mixed Tate motives
cites work: All-mass \(n\)-gon integrals in \(n\) dimensions
cites work: Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
cites work: Hypergeometric Functions, My Love
cites work: Singularities of integrals. Homology, hyperfunctions and microlocal analysis. Transl. from the French by the author
cites work: Periods and Nori Motives
cites work: Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
cites work: On vanishing of cohomology attached to certain many valued meromorphic functions
cites work: Intersection theory for twisted cohomologies and twisted Riemann’s period relations I
cites work: Twisted de Rham cohomology groups of logarithmic forms
cites work: Intersection numbers for logarithmic \(K\)-forms
cites work: Hypersphere arrangement and imaginary cycles for hypergeometric integrals
cites work: Some problems of hypergeometric integrals associated with hypersphere arrangement
cites work: Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants
cites work: Differential equations for two-loop four-point functions.
cites work: Lectures on differential equations for Feynman integrals
cites work: Applications of an isotopy theorem
cites work: Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory
cites work: Combinatorics and topology of Kawai-Lewellen-Tye relations
cites work: Monodromy relations from twisted homology
cites work: Configurations and invariant Gauss-Manin connections of integrals. I
cites work: Configurations and invariant Gauss-Manin connections for integrals. II
cites work: Gauss-Manin connection of integral of difference products
cites work: Double filtration of twisted logarithmic complex and Gauss-Manin connection
cites work: Constructing canonical Feynman integrals with intersection theory
cites work: Wave equations in conformal space
cites work: Iterative structure of finite loop integrals
cites work: Logarithmic forms and differential equations for Feynman integrals
cites work: Analytic treatment of the two loop equal mass sunrise graph
cites work: Hypergeometric representation of the two-loop equal mass sunrise diagram
cites work: The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\)
cites work: Q5574698
cites work: The Galois coaction on \(\phi^4\) periods
cites work: The Galois coaction on the electron anomalous magnetic moment
cites work: From positive geometries to a coaction on hypergeometric functions

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