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 (11)

• 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
• Multi-Loop Positivity of the Planar $\mathcal{N}=4$ SYM Six-Point Amplitude
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• 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
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson Loop