Maximal cuts in arbitrary dimension (Q1700125)

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Language	Label	Description	Also known as
English	Maximal cuts in arbitrary dimension	scientific article

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scholarly article

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Maximal cuts in arbitrary dimension (English)

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Journal of High Energy Physics

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publication date

2 March 2018

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full work available at URL

https://arxiv.org/abs/1704.04255

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zbMATH Keywords

scattering amplitudes

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differential and algebraic geometry

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multiloop Feynman integral

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.

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

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Reducing full one-loop amplitudes to scalar integrals at the integrand level

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Cuts of Feynman integrals in Baikov representation

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On the integrand-reduction method for two-loop scattering amplitudes

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Hepta-cuts of two-loop scattering amplitudes

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Multiloop integrand reduction for dimensionally regulated amplitudes

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A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory

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Local integrands for two-loop all-plus Yang-Mills amplitudes

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Adaptive integrand decomposition in parallel and orthogonal space

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Global residues and two-loop hepta-cuts

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Multivariate residues and maximal unitarity

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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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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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Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra

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Lectures on differential equations for Feynman integrals

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Magnus and Dyson series for master integrals

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Reducing differential equations for multiloop master integrals

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Transforming differential equations of multi-loop Feynman integrals into canonical form

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\texttt{epsilon}: a tool to find a canonical basis of master integrals

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Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form

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A practical criterion of irreducibility of multi-loop Feynman integrals

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Cuts from residues: the one-loop case

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Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case

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

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Differential equations on unitarity cut surfaces

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Critical points and number of master integrals

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\textsc{Azurite}: an algebraic geometry based package for finding bases of loop integrals

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Algorithm FIRE-Feynman integral reduction

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FIRE5: a C++ implementation of Feynman integral REduction

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

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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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Hypexp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters

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Hypexp 2, expanding hypergeometric functions about half-integer parameters

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Analytic treatment of the two loop equal mass sunrise graph

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The elliptic dilogarithm for the sunset graph

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The two-loop sunrise graph with arbitrary masses

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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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Local mirror symmetry and the sunset Feynman integral

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

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

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Simplifying Systems of Differential Equations. The Case of the Sunrise Graph

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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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Multiple Hypergeometric Series: Appell Series and Beyond

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Identifiers

zbMATH Open document ID

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10.1007/JHEP08(2017)051

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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:1700125

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