Symbology for elliptic multiple polylogarithms and the symbol prime (Q2696822)

scientific article

Language	Label	Description	Also known as
English	Symbology for elliptic multiple polylogarithms and the symbol prime	scientific article

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instance of

scholarly article

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title

Symbology for elliptic multiple polylogarithms and the symbol prime (English)

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Journal of High Energy Physics

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publication date

17 April 2023

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full work available at URL

https://arxiv.org/abs/2206.08378

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zbMATH Keywords

scattering amplitudes

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differential and algebraic geometry

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supersymmetric gauge theory

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describes a project that uses

PolyLogTools

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MaRDI profile type

MaRDI publication profile

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cites work

Iterated path integrals

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Geometry of configurations, polylogarithms, and motivic cohomology

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Multiple polylogarithms, cyclotomy and modular complexes

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HARMONIC POLYLOGARITHMS

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Special values of multiple polylogarithms

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

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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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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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The kite integral to all orders in terms of elliptic polylogarithms

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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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Elliptic Feynman integrals and pure functions

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An elliptic generalization of multiple polylogarithms

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

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

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Algorithms and tools for iterated Eisenstein integrals

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Numerical evaluation of iterated integrals related to elliptic Feynman integrals

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Modular transformations of elliptic Feynman integrals

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On epsilon factorized differential equations for elliptic Feynman integrals

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Fourth order spectral functions for the electron propagator

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

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

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A Feynman integral via higher normal functions

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

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Bhabha scattering and a special pencil of \(K3\) surfaces

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Arithmetic and geometry of a \(K3\) surface emerging from virtual corrections to Drell-Yan scattering

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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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On genera of curves from high-loop generalized unitarity cuts

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Analytic structure of all loop banana integrals

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

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A Feynman integral depending on two elliptic curves

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Master integrals for \(\mathcal{O}(\alpha\alpha_s)\) corrections to \(H\rightarrow ZZ^\ast\)

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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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Pulling the straps of polygons

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Q5340766

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Q5340767

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Bootstrapping the three-loop hexagon

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Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory

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Hexagon functions and the three-loop remainder function

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The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory

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Multi-loop positivity of the planar \(\mathcal{N} = 4 \) SYM six-point amplitude

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Heptagons from the Steinmann cluster bootstrap

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Cluster adjacency and the four-loop NMHV heptagon

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Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops

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Bootstrapping the QCD soft anomalous dimension

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Bootstrapping a stress-tensor form factor through eight loops

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Hexagon bootstrap in the double scaling limit

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The double pentaladder integral to all orders

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Bootstrapping two-loop Feynman integrals for planar \( \mathcal{N}=4 \) sYM

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Truncated cluster algebras and Feynman integrals with algebraic letters

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Q4952461

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Functional relations for elliptic polylogarithms

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On functional equations for the elliptic dilogarithm

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Elliptic multiple zeta values and one-loop superstring amplitudes

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Q4846449

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Eliminating spurious poles from gauge-theoretic amplitudes

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The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM

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Simple loop integrals and amplitudes in \( \mathcal{N} = 4 \) SYM

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

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The amplituhedron

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Schubert problems, positivity and symbol letters

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On a method of finding singularities of Feynman graphs

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Cluster adjacency beyond MHV

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The three-loop MHV octagon from \(\bar{Q}\) equations

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Notes on cluster algebras and some all-loop Feynman integrals

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Algebraic singularities of scattering amplitudes from tropical geometry

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Non-perturbative geometries for planar \(\mathcal{N} = 4\) SYM amplitudes

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Algebraic branch points at all loop orders from positive kinematics and wall crossing

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Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry

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Symbol alphabets from tensor diagrams

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Identifiers

DOI

10.1007/JHEP01(2023)089

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Mathematics Subject Classification ID

81-XX

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zbMATH DE Number

7675277

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Sitelinks

Mathematics(1 entry)

mardi Publication:2696822