Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion

Abstract

We analyze the pentagon transitions involving arbitrarily many flux-tube gluonic excitations and bound states thereof in planar N=4 Super-Yang-Mills theory. We derive all-loop expressions for all these transitions by factorization and fusion of the elementary transitions for the lightest gluonic excitations conjectured in a previous paper. We apply the proposals so obtained to the computation of MHV and NMHV scattering amplitudes at any loop order and find perfect agreement with available perturbative data up to four loops.

26+14 pages

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Cited by in corpus (30)

• Bootstrapping an NMHV amplitude through three loops
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Four-gluon scattering at three loops, infrared structure and Regge limit
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• A Three-Point Form Factor Through Five Loops
• Multi-Loop Positivity of the Planar $\mathcal{N}=4$ SYM Six-Point Amplitude
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• Folding Amplitudes into Form Factors: An Antipodal Duality
• An Operator Product Expansion for Form Factors
• Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
• Antipodal Self-Duality for a Four-Particle Form Factor
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• The Two-Loop Remainder Function for Eight and Nine Particles
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• Cross-Order Integral Relations from Maximal Cuts
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• A Novel Algorithm for Nested Summation and Hypergeometric Expansions
• A Two-Loop Four-Point Form Factor at Function Level
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson Loop
• 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
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons