Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data

Abstract

We elaborate on a non-perturbative formulation of scattering amplitudes/null polygonal Wilson loops in planar N=4 Super-Yang-Mills theory. The construction is based on a decomposition of the Wilson loop into elementary building blocks named pentagon transitions. Our discussion expands on a previous letter of the authors where these transitions were introduced and analyzed for the so-called gluonic excitations. In this paper we revisit these transitions and extend the analysis to the sector of scalar excitations. We restrict ourselves to the single particle transitions and bootstrap their finite coupling expressions using a set of axioms. Besides these considerations, the main focus of the paper is on the extraction of perturbative data from scattering amplitudes at weak coupling and its comparison against the proposed pentagon transitions. We present several tests for both the hexagon and heptagon (MHV and NMHV) amplitudes up to two- and three-loop orders. In attached notebooks we provide explicit higher-loop predictions obtained from our method.

73 pages, 42 figures. v2,v3: typos corrected

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Cited by in corpus (118)

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• 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
• Heptagons from the Steinmann Cluster Bootstrap
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• Six-Gluon Amplitudes in Planar $\mathcal{N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Scattering Amplitudes
• The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N}=4$ SYM Amplitudes
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
• Gluing Ladders into Fishnets
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• OPE for all Helicity Amplitudes
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• Structure constants at wrapping order
• Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM
• On the collinear limit of scattering amplitudes at strong coupling
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• The Double Pentaladder Integral to All Orders
• A Three-Point Form Factor Through Five Loops
• The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM
• Rationalizing Loop Integration
• Cluster adjacency beyond MHV
• Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling
• Multipoint Bootstrap I: Light-Cone Snowflake OPE and the WL Origin
• OPE for all Helicity Amplitudes II. Form Factors and Data Analysis
• Nonsinglet pentagons and NMHV amplitudes
• Sequential Discontinuities of Feynman Integrals and the Monodromy Group
• Spectral Parameters for Scattering Amplitudes in N=4 Super Yang-Mills Theory
• Scattering Amplitudes -- Wilson Loops Duality for the First Non-planar Correction
• Yangian Symmetry of smooth Wilson Loops in N=4 super Yang-Mills Theory
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• 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
• An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
• Lifting Heptagon Symbols to Functions
• Quantum mechanics of null polygonal Wilson loops
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes
• Stratifying On-Shell Cluster Varieties: the Geometry of Non-Planar On-Shell Diagrams
• All-order amplitudes at any multiplicity in the multi-Regge limit
• Fixing the Quantum Three-Point Function
• 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
• Dual Conformal Structure Beyond the Planar Limit
• Antipodal Self-Duality for a Four-Particle Form Factor
• Three-Point Functions and su(1|1) Spin Chains
• Bethe Ansaetze for GKP strings
• Evaluating the 6-point Remainder Function Near the Collinear Limit
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• On factorization of multiparticle pentagons
• Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
• Hexagons and Correlators in the Fishnet Theory
• When does the gluon reggeize?
• Matrix pentagons
• Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge-kinematics
• Twistor actions for gauge theory and gravity
• Heptagon Amplitude in the Multi-Regge Regime
• The Two-Loop Remainder Function for Eight and Nine Particles
• Cross-Order Integral Relations from Maximal Cuts
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• The Two-Loop Symbol of all Multi-Regge Regions
• Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
• Smooth Wilson Loops in N=4 Non-Chiral Superspace
• Hexagon POPE: effective particles and tree level resummation
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes
• 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
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• All two-loop MHV remainder functions in multi-Regge kinematics
• On the scattering of gluons in the GKP string
• Multichannel conformal blocks for scattering amplitudes
• Green-Schwarz superstring on the lattice
• Bethe Ansatz and exact form factors of the O(N) Gross Neveu-model
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Non-Planar On-Shell Diagrams
• Strong Wilson polygons from the lodge of free and bound mesons
• Resummed tree heptagon
• TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling
• Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution
• An Origin Story for Amplitudes
• All orders results for self-crossing Wilson loops mimicking double parton scattering
• Systematics of the Multi-Regge Three-Loop Symbol
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• A Two-Loop Four-Point Form Factor at Function Level
• Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics
• A Novel Algorithm for Nested Summation and Hypergeometric Expansions
• Supersymmetric quantum mechanics of the flux tube
• Lattice perturbation theory for the null cusp string
• ABJM flux-tube and scattering amplitudes
• Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling
• Light-cone limits of large rectangular fishnets
• The Multi-Regge Limit from the Wilson Loop OPE
• Descent equation for superloop and cyclicity of OPE
• Spectral determinants for twist field correlators
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• Four-Point Functions with a Twist
• Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson Loop
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• An Operator Product Expansion for Form Factors II. Born level
• Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons
• Hexagon Bootstrap in the Double Scaling Limit