OPE for all Helicity Amplitudes

Abstract

We extend the Operator Product Expansion (OPE) for scattering amplitudes in planar N=4 SYM to account for all possible helicities of the external states. This is done by constructing a simple map between helicity configurations and so-called charged pentagon transitions. These OPE building blocks are generalizations of the bosonic pentagons entering MHV amplitudes and they can be bootstrapped at finite coupling from the integrable dynamics of the color flux tube. A byproduct of our map is a simple realization of parity in the super Wilson loop picture.

30 pages

References in corpus (17)

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Cited by in corpus (55)

• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• A Periodic Table of Effective Field Theories
• Six-Gluon Amplitudes in Planar $\mathcal{N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
• The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N}=4$ SYM Amplitudes
• Evidence for a Nonplanar Amplituhedron
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM
• The Double Pentaladder Integral to All Orders
• A Three-Point Form Factor Through Five Loops
• Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling
• OPE for all Helicity Amplitudes II. Form Factors and Data Analysis
• Gravity On-shell Diagrams
• Folding Amplitudes into Form Factors: An Antipodal Duality
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• An Operator Product Expansion for Form Factors
• Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
• Hexagon OPE Resummation and Multi-Regge Kinematics
• Antipodal Self-Duality for a Four-Particle Form Factor
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• On factorization of multiparticle pentagons
• Matrix pentagons
• What can we learn about QCD and collider physics from N=4 super Yang-Mills?
• The Two-Loop Remainder Function for Eight and Nine Particles
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• Hexagon POPE: effective particles and tree level resummation
• Worldsheet scattering for the GKP string
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• Nonperturbative enhancement of superloop at strong coupling
• Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
• Towards NMHV amplitudes at strong coupling
• ABJM quantum spectral curve and Mellin transform
• On the scattering of gluons in the GKP string
• All two-loop MHV remainder functions in multi-Regge kinematics
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• Multichannel conformal blocks for scattering amplitudes
• Non-planar BCFW Grassmannian Geometries
• Strong Wilson polygons from the lodge of free and bound mesons
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution
• Resummed tree heptagon
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• A Novel Algorithm for Nested Summation and Hypergeometric Expansions
• Supersymmetric quantum mechanics of the flux tube
• A Two-Loop Four-Point Form Factor at Function Level
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• ABJM flux-tube and scattering amplitudes
• On analytical perturbative solution of ABJM quantum spectral curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Descent equation for superloop and cyclicity of OPE
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• $\mathcal{N}=4$ polygonal Wilson loops: fermions
• An Operator Product Expansion for Form Factors II. Born level
• Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
• Hexagon Bootstrap in the Double Scaling Limit