Nonsinglet pentagons and NMHV amplitudes

Abstract

Scattering amplitudes in maximally supersymmetric gauge theory receive a dual description in terms of the expectation value of the super Wilson loop stretched on a null polygonal contour. This makes the analysis amenable to nonperturbative techniques. Presently, we elaborate on a refined form of the operator product expansion in terms of pentagon transitions to compute twist-two contributions to NMHV amplitudes. To start with, we provide a novel derivation of scattering matrices starting from Baxter equations for flux-tube excitations propagating on magnon background. We propose bootstrap equations obeyed by pentagon form factors with nonsinglet quantum numbers with respected to the R-symmetry group and provide solutions to them to all orders in 't Hooft coupling. These are then successfully confronted against available perturbative calculations for NMHV amplitudes to three-loop order.

58 pages, 5 figures; typos fixed, four-loop checks added to ancillary file

References in corpus (20)

• Gluon scattering amplitudes at strong coupling
• Classical Polylogarithms for Amplitudes and Wilson Loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Comments on operators with large spin
• An Operator Product Expansion for Polygonal null Wilson Loops
• Bootstrapping an NMHV amplitude through three loops
• Notes on the scattering amplitude / Wilson loop duality
• Logarithmic scaling in gauge/string correspondence
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• On the highest transcendentality in N=4 SUSY
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• On the Strong Coupling Scaling Dimension of High Spin Operators
• On the collinear limit of scattering amplitudes at strong coupling
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Quantum mechanics of null polygonal Wilson loops
• Nonperturbative scales in AdS/CFT
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Dual-Conformal Regularization of Infrared Loop Divergences and the Chiral Box Expansion

Cited by in corpus (46)

• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• Bootstrapping an NMHV amplitude through three loops
• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Six-Gluon Amplitudes in Planar $\mathcal{N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
• Gluing Ladders into Fishnets
• OPE for all Helicity Amplitudes
• A Three-Point Form Factor Through Five Loops
• The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM
• Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling
• OPE for all Helicity Amplitudes II. Form Factors and Data Analysis
• Sequential Discontinuities of Feynman Integrals and the Monodromy Group
• Fermionic pentagons and NMHV hexagon
• How tropical are seven- and eight-particle amplitudes?
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• Folding Amplitudes into Form Factors: An Antipodal Duality
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson 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
• On factorization of multiparticle pentagons
• Matrix pentagons
• The Two-Loop Remainder Function for Eight and Nine Particles
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
• Hexagon POPE: effective particles and tree level resummation
• Nonperturbative enhancement of superloop at strong coupling
• Towards NMHV amplitudes at strong coupling
• Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• On the scattering of gluons in the GKP string
• Multichannel conformal blocks for scattering amplitudes
• Strong Wilson polygons from the lodge of free and bound mesons
• 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 Two-Loop Four-Point Form Factor at Function Level
• Supersymmetric quantum mechanics of the flux tube
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• Descent equation for superloop and cyclicity of OPE
• ABJM flux-tube and scattering amplitudes
• Spectral determinants for twist field correlators
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
• An Operator Product Expansion for Form Factors II. Born level
• Hexagon Bootstrap in the Double Scaling Limit