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Rationalizing loop integration (Q1783904)

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Language	Label	Description	Also known as
English	Rationalizing loop integration	scientific article

Statements

scholarly article

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Rationalizing loop integration (English)

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Jacob L. Bourjaily

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Andrew J. McLeod

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Matt von Hippel

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Matthias Wilhelm

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Journal of High Energy Physics

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publication date

21 September 2018

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full work available at URL

https://arxiv.org/abs/1805.10281

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zbMATH Keywords

scattering amplitudes

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supersymmetric gauge theory

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describes a project that uses

two loop amplitudes

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MaRDI profile type

MaRDI publication profile

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Picard-Fuchs equations for Feynman 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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Bootstrapping the three-loop hexagon

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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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Heptagons from the Steinmann cluster bootstrap

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Bootstrapping the QCD soft anomalous dimension

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AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals

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{\sf MBsums} --- a {\sf Mathematica} Package for the Representation of Mellin--Barnes Integrals by Multiple Sums

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Feynman integrals and iterated integrals of modular forms

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An elliptic generalization of multiple polylogarithms

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

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Feynman integrals and iterated integrals on moduli spaces of curves of genus zero

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The massless higher-loop two-point function

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Multiple polylogarithms and linearly reducible Feynman graphs

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Local integrand representations of all two-loop amplitudes in planar SYM

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Manifestly dual-conformal loop integration

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Hedgehog bases for \(A_{n}\) cluster polylogarithms and an application to six-point amplitudes

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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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Amplitudes at weak coupling as polytopes in AdS<sub>5</sub>

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A note on polytopes for scattering amplitudes

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Hexagon Wilson loop = six-gluon MHV amplitude

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The box integrals in momentum-twistor geometry

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Projectors, shadows, and conformal blocks

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The Bethe roots of Regge cuts in strongly coupled \( \mathcal{N}=4 \) SYM theory

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Multiple polylogarithms, cyclotomy and modular complexes

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Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$

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A simple construction of Grassmannian polylogarithms

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Enumeration of totally positive Grassmann cells

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Positroid varieties: juggling and geometry

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Unification of residues and Grassmannian dualities

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The twist for positroid varieties

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Stratifying on-shell cluster varieties: the geometry of non-planar on-shell diagrams

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Grassmannian Geometry of Scattering Amplitudes

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Cluster polylogarithms for scattering amplitudes

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Multi-Regge kinematics and the moduli space of Riemann spheres with marked points

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New differential equations for on-shell loop integrals

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

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The double pentaladder integral to all orders

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Prescriptive unitarity

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The elliptic dilogarithm for the sunset graph

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

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

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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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Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills

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Cluster ensembles, quantization and the dilogarithm

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Identifiers

zbMATH Open document ID

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10.1007/JHEP08(2018)184

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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:1783904

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