A Feynman integral depending on two elliptic curves (Q2104647)

scientific article; zbMATH DE number 7628321

Language	Label	Description	Also known as
English	A Feynman integral depending on two elliptic curves	scientific article; zbMATH DE number 7628321

Statements

instance of

scholarly article

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title

A Feynman integral depending on two elliptic curves (English)

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Journal of High Energy Physics

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publication date

7 December 2022

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full work available at URL

https://arxiv.org/abs/2205.04818

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zbMATH Keywords

higher order electroweak calculations

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higher-order perturbative calculations

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scattering amplitudes

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describes a project that uses

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Fourth order spectral functions for the electron propagator

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Analytic treatment of the two loop equal mass sunrise graph

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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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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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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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Feynman integrals and iterated integrals of modular forms

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

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

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A Feynman integral via higher normal functions

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Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations

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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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The kite integral to all orders in terms of elliptic polylogarithms

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Iterated elliptic and hypergeometric integrals for Feynman diagrams

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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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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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Elliptic Feynman integrals and pure functions

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Solving differential equations for Feynman integrals by expansions near singular points

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Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points

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Rationalizing loop integration

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Feynman integrals and intersection theory

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

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Decomposition of Feynman integrals on the maximal cut by intersection numbers

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Large Scale Analytic Calculations in Quantum Field Theories

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Functional relations for elliptic polylogarithms

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

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Two-loop diagrams in nonrelativistic QCD with elliptics

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Three-loop contributions to the \(\rho\) parameter and iterated integrals of modular forms

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Algorithms and tools for iterated Eisenstein integrals

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Convolutions on the complex torus

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Analytic structure of all loop banana integrals

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Modular transformations of elliptic Feynman integrals

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Numerical evaluation of iterated integrals related to elliptic Feynman integrals

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Massive kite diagrams with elliptics

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On epsilon factorized differential equations for elliptic Feynman integrals

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Feynman motives of banana graphs

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A \(K3\) in \(\phi^{4}\)

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Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space

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Traintrack Calabi-Yaus from twistor geometry

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Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives

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Meromorphic modular forms and the three-loop equal-mass banana integral

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New method of massive \(N\)-point Feynman diagrams calculation

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Rationalizing roots: an algorithmic approach

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RationalizeRoots: software package for the rationalization of square roots

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Q3632044

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Periods of modular forms and Jacobi theta functions

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Algorithm FIRE-Feynman integral reduction

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FIRE6: Feynman integral reduction with modular arithmetic

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

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Kira -- a Feynman integral reduction program

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Integral reduction with Kira 2.0 and finite field methods

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Identifiers

DOI

10.1007/JHEP07(2022)101

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2104647