Baikov-Lee representations of cut Feynman integrals (Q683138)

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English	Baikov-Lee representations of cut Feynman integrals	scientific article

Statements

scholarly article

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Baikov-Lee representations of cut Feynman integrals (English)

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Francesco Moriello

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Robert M. Schabinger

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Journal of High Energy Physics

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publication date

5 February 2018

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full work available at URL

https://arxiv.org/abs/1705.03478

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zbMATH Keywords

Baikov-Lee representation

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Feynman integral

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scattering amplitudes

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perturbative QCD

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describes a project that uses

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Wolfram Functions Site

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MaRDI profile type

MaRDI publication profile

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Space-Time Approach to Quantum Electrodynamics

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NEW METHOD OF MASSIVE N-POINT FEYNMAN DIAGRAMS CALCULATION

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Dimensionally-regulated pentagon integrals

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Differential equations for two-loop four-point functions.

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HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS

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\texttt{Reduze} -- Feynman integral reduction in \texttt{C++}

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A novel approach to integration by parts reduction

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FIRE5: a C++ implementation of Feynman integral REduction

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The massless higher-loop two-point function

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The diamond rule for multi-loop Feynman diagrams

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INTEGRATION BY PARTS: AN INTRODUCTION

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Singularities and Discontinuities of Feynman Amplitudes

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The dimensional recurrence and analyticity method for multicomponent master integrals: using unitarity cuts to construct homogeneous solutions

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On the maximal cut of Feynman integrals and the solution of their differential equations

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Cuts of Feynman integrals in Baikov representation

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Multiple polylogarithms, cyclotomy and modular complexes

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HARMONIC POLYLOGARITHMS

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The kite integral to all orders in terms of elliptic polylogarithms

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The property of maximal transcendentality: calculation of master integrals

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Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation

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Iterated path integrals

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Galois symmetries of fundamental groupoids and noncommutative geometry

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On the decomposition of motivic multiple zeta values

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From polygons and symbols to polylogarithmic functions

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Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes

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On the reduction of generalized polylogarithms to \(\mathrm{Li}_n\) and \(\mathrm{Li}_{2,2}\) and on the evaluation thereof

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Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

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The elliptic dilogarithm for the sunset graph

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A Feynman integral via higher normal functions

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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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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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Analytic treatment of the two loop equal mass sunrise graph

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

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Local mirror symmetry and the sunset Feynman integral

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

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Maximal cuts in arbitrary dimension

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Four-particle phase space integrals in massless QCD

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From multiple unitarity cuts to the coproduct of Feynman integrals

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Evaluating Feynman integrals.

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The number of master integrals is finite

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The two-loop sunrise graph with arbitrary masses

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On the analytic computation of massless propagators in dimensional regularization

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A quasi-finite basis for multi-loop Feynman integrals

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FEYNMAN GRAPH POLYNOMIALS

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Cuts from residues: the one-loop case

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Generalized unitarity and one-loop amplitudes in \(\mathcal N=1\) super-Yang-Mills

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A second-order differential equation for the two-loop sunrise graph with arbitrary masses

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Picard-Fuchs equations for Feynman integrals

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

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Resolution of singularities for multi-loop integrals

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pySecDec: a toolbox for the numerical evaluation of multi-scale integrals

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Identities of nonterminating series by Zeilberger's algorithm

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Some Integral Relations Involving Hypergeometric Functions

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Identifiers

zbMATH Open document ID

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10.1007/JHEP06(2017)049

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:683138

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