OPE for Super Loops

Abstract

We extend the Operator Product Expansion for Null Polygon Wilson loops to the Mason-Skinner-Caron-Huot super loop, dual to non MHV gluon amplitudes. We explain how the known tree level amplitudes can be promoted into an infinite amount of data at any loop order in the OPE picture. As an application, we re-derive all one loop NMHV six gluon amplitudes by promoting their tree level expressions. We also present some new all loops predictions for these amplitudes.

16 pages + appendices; 5 figures

References in corpus (14)

• 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 All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Hexagon Wilson loop = six-gluon MHV amplitude
• 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
• Notes on the scattering amplitude / Wilson loop duality
• Logarithmic scaling in gauge/string correspondence
• All tree-level amplitudes in N=4 SYM
• A Generalized Scaling Function for AdS/CFT
• MHV Diagrams in Momentum Twistor Space
• One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry

Cited by in corpus (22)

• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• Bootstrapping an NMHV amplitude through three loops
• Hexagon functions and the three-loop remainder function
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• OPE for all Helicity Amplitudes
• A Cluster Bootstrap for Two-Loop MHV Amplitudes
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• BFKL approach and 2->5 MHV amplitude
• On NMHV form factors in N=4 SYM theory from generalized unitarity
• Quantum mechanics of null polygonal Wilson loops
• The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• From Polygon Wilson Loops to Spin Chains and Back
• Wilson Loops @ 3-Loops in Special Kinematics
• All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology
• All two-loop MHV remainder functions in multi-Regge kinematics
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• 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