On epsilon factorized differential equations for elliptic Feynman integrals (Q2090870)

scientific article; zbMATH DE number 7609921

Language	Label	Description	Also known as
English	On epsilon factorized differential equations for elliptic Feynman integrals	scientific article; zbMATH DE number 7609921

Statements

instance of

scholarly article

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title

On epsilon factorized differential equations for elliptic Feynman integrals (English)

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author

Hjalte Frellesvig

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published in

Journal of High Energy Physics

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publication date

31 October 2022

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full work available at URL

https://arxiv.org/abs/2110.07968

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zbMATH Keywords

perturbative QCD

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scattering amplitudes

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describes a project that uses

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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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Algorithm FIRE-Feynman integral reduction

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Kira -- a Feynman integral reduction program

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Analytic treatment of the two loop equal mass sunrise graph

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On the evaluation of a certain class of Feynman diagrams in \(x\)-space: sunrise-type topologies at any loop order

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Elliptic integral evaluations of Bessel moments and applications

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

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The two-loop sunrise graph with arbitrary masses

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The elliptic dilogarithm for the sunset graph

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Schouten identities for Feynman graph amplitudes: The Master Integrals for the two-loop massive sunrise graph

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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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Elliptic multiple zeta values and one-loop superstring amplitudes

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A Feynman integral via higher normal functions

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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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Relations between elliptic multiple zeta values and a special derivation algebra

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

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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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Feynman integrals, \(L\)-series and Kloosterman moments

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Feynman integrals and iterated integrals of modular forms

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Iterated elliptic and hypergeometric integrals for Feynman diagrams

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An elliptic generalization of multiple polylogarithms

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All orders structure and efficient computation of linearly reducible elliptic Feynman integrals

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Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes

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Solving differential equations for Feynman integrals by expansions near singular points

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Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral

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Coordinate space calculation of two- and three-loop sunrise-type diagrams, elliptic functions and truncated Bessel integral identities

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The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case

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Automated solution of first order factorizable systems of differential equations in one variable

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Elliptic Feynman integrals and pure functions

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The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\)

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Cuts and isogenies

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Lectures on differential equations for Feynman integrals

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Reducing differential equations for multiloop master integrals

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Magnus and Dyson series for master integrals

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

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Cuts of Feynman integrals in Baikov representation

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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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Constructing canonical Feynman integrals with intersection theory

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Leading singularities in Baikov representation and Feynman integrals with uniform transcendental weight

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Local integrals for planar scattering amplitudes

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Prescriptive unitarity

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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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Maximal cuts in arbitrary dimension

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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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Baikov-Lee representations of cut Feynman integrals

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The number of master integrals is finite

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Critical points and number of master integrals

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Feynman integral relations from parametric annihilators

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Feynman integrals and intersection theory

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Decomposition of Feynman integrals on the maximal cut by intersection numbers

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Decomposition of Feynman integrals by multivariate intersection numbers

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From infinity to four dimensions: higher residue pairings and Feynman integrals

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On the computation of intersection numbers for twisted cocycles

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Duals of Feynman integrals. I: Differential equations

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Integration by parts: an introduction

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Mathematical aspects of scattering amplitudes

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Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators

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Inclusive heavy flavor hadroproduction in NLO QCD: the exact analytic result

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Multiple polylogarithms, cyclotomy and modular complexes

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The two loop crossed ladder vertex diagram with two massive exchanges

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DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions

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

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Logarithmic forms and differential equations for Feynman integrals

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Identifiers

DOI

10.1007/JHEP03(2022)079

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2090870