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Feynman integrals as A-hypergeometric functions (Q2303191)

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Language	Label	Description	Also known as
English	Feynman integrals as A-hypergeometric functions	scientific article

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scholarly article

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Feynman integrals as A-hypergeometric functions (English)

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zbMATH Open document ID

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10.1007/JHEP12(2019)123

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Leonardo de la Cruz

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Journal of High Energy Physics

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publication date

2 March 2020

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full work available at URL

https://arxiv.org/abs/1907.00507

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

scattering amplitudes

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differential and algebraic geometry

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perturbative QCD

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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SOME PROBLEMS IN THE ANALYTIC THEORY OF FEYNMAN INTEGRALS

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NEW METHOD OF MASSIVE N-POINT FEYNMAN DIAGRAMS CALCULATION

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Differential equations for two-loop four-point functions.

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Geometry of configurations, polylogarithms, and motivic cohomology

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HARMONIC POLYLOGARITHMS

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Multiple polylogarithms, cyclotomy and modular complexes

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Numerical evaluation of multiple polylogarithms

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A symbolic summation approach to Feynman integral calculus

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Hypexp 2, expanding hypergeometric functions about half-integer parameters

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Nested sums, expansion of transcendental functions, and multiscale multiloop integrals

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Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters

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Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case

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HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables

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HYPERDIRE -- hypergeometric functions differential reduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function \(F_C\) of three variables

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Gröbner basis and the problem of contiguous relations

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An algorithm for finding recurrence relations of binomial sums and its complexity

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Hypergeometric Functions and Feynman Diagrams

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Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation

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Generalized Euler integrals and \(A\)-hypergeometric functions

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Mellin transforms of multivariate rational functions

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Euler-Mellin integrals and \(A\)-hypergeometric functions

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On Transformations of <i>A</i>-Hypergeometric Functions

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Feynman integrals and mirror symmetry

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Critical points and number of master integrals

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GKZ Hypergeometric Structures

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Dimer models from mirror symmetry and quivering amoebæ

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On dimer models and coamoebas

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Approximating amoebas and coamoebas by sums of squares

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On the order map for hypersurface coamoebas

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Lopsided approximation of amoebas

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Resolution of singularities for multi-loop integrals

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FEYNMAN GRAPH POLYNOMIALS

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On the parametric behavior of $A$-hypergeometric series

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Application of the negative-dimension approach to massless scalar box integrals

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Massless on-shell box integral with arbitrary powers of propagators

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A new approach to the Taylor expansion of multiloop Feynman diagrams

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Feynman integral relations from parametric annihilators

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Baikov-Lee representations of cut Feynman integrals

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Cuts of Feynman integrals in Baikov representation

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Decomposition of Feynman integrals on the maximal cut by intersection numbers

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Maximal cuts in arbitrary dimension

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Feynman integrals and intersection theory

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Pfaffian systems of \(A\)-hypergeometric equations. I: Bases of twisted cohomology groups.

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Mathematics(1 entry)

mardi Publication:2303191

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