Manifestly dual-conformal loop integration (Q2423320)

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Language	Label	Description	Also known as
English	Manifestly dual-conformal loop integration	scientific article

Statements

scholarly article

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Manifestly dual-conformal loop integration (English)

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Jacob L. Bourjaily

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publication date

21 June 2019

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full work available at URL

https://arxiv.org/abs/1901.02887

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describes a project that uses

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two loop amplitudes

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MaRDI profile type

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

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Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes

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Dual superconformal symmetry of scattering amplitudes in \({\mathcal N}=4\) super-Yang-Mills theory

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Unification of residues and Grassmannian dualities

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A duality for the S matrix

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Local spacetime physics from the Grassmannian

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The Grassmannian and the twistor string: connecting all trees in \({\mathcal N} = 4\) SYM

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

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An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM

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The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM

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

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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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The double pentaladder integral to all orders

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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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On the decomposition of motivic multiple zeta values

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

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Scattering into the fifth dimension of \(\mathcal{N} = 4\) super Yang-Mills

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The box integrals in momentum-twistor geometry

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

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Evaluating Feynman integrals.

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Local integrals for planar scattering amplitudes

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Rationalizing loop integration

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Mellin transforms and asymptotics: Harmonic sums

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Analytic tools for Feynman integrals

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An automatized algorithm to compute infrared divergent multi-loop integrals.

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Numerical evaluation of multi-loop integrals by sector decomposition

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Feynman integral evaluation by a sector decomposition approach (FIESTA)

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Resolution of singularities for multi-loop integrals

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

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The massless higher-loop two-point function

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Rationalizing roots: an algorithmic approach

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Feynman integrals and iterated integrals of modular forms

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Elliptic multiple zeta values and one-loop superstring amplitudes

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Relations between elliptic multiple zeta values and a special derivation algebra

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

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

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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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Prescriptive unitarity

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Amplitudes and correlators to ten loops using simple, graphical bootstraps

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New Representations of the Perturbative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:math>Matrix

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From the holomorphic Wilson loop to `d log' loop-integrands of super-Yang-Mills amplitudes.

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On-shell methods in perturbative QCD

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What is the simplest quantum field theory?

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The no-triangle hypothesis for \(\mathcal N= 8\) supergravity

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

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Conformal properties of four-gluon planar amplitudes and Wilson loops

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Tree-level amplitudes and dual superconformal symmetry

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The Grassmannian origin of dual superconformal invariance

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Dual conformal symmetry of 1-loop NMHV amplitudes in \( \mathcal{N} = 4 \) SYM theory

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All tree-level amplitudes in massless QCD

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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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Higgs-regularized three-loop four-gluon amplitude in \( \mathcal{N} = 4 \) SYM: exponentiation and Regge limits

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More loops and legs in Higgs-regulated \(\mathcal{N} = 4\) SYM amplitudes

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

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Erratum to: ``Three-loop universal anomalous dimension of the Wilson operators in \(\mathcal N=4\) SUSY Yang-Mills model'' [Phys. Lett. B 595 (2004) 521]

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A generalized scaling function for AdS/CFT

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Eliminating spurious poles from gauge-theoretic amplitudes

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

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

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HARMONIC POLYLOGARITHMS

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Nuclear Physics B

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.NUCLPHYSB.2019.03.022

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Sitelinks

Mathematics(1 entry)

mardi Publication:2423320

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