Evaluating the 6-point Remainder Function Near the Collinear Limit

Abstract

The simplicity of maximally supersymmetric Yang-Mills theory makes it an ideal theoretical laboratory for developing computational tools, which eventually find their way to QCD applications. In this contribution, we continue the investigation of a recent proposal by Basso, Sever and Vieira, for the nonperturbative description of its planar scattering amplitudes, as an expansion around collinear kinematics. The method of arXiv:1310.5735, for computing the integrals the latter proposal predicts for the leading term in the expansion of the 6-point remainder function, is extended to one of the subleading terms. In particular, we focus on the contribution of the 2-gluon bound state in the dual flux tube picture, proving its general form at any order in the coupling, and providing explicit expressions up to 6 loops. These are included in the ancillary file accompanying the version of this article on the arXiv.

6 pages, 1 figure, 1 ancillary file; based on talk given at Moriond QCD 2014. v2: typo corrections, addition of an appendix on the contribution of two same-helicity gluons; to appear in Int.J.Mod.Phys. A

References in corpus (10)

• Review of AdS/CFT Integrability: An Overview
• Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• 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
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Scattering amplitudes: the most perfect microscopic structures in the universe
• Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• Wilson loop OPE, analytic continuation and multi-Regge limit

Cited by in corpus (20)

• 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
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• The Double Pentaladder Integral to All Orders
• The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM
• All-order amplitudes at any multiplicity in the multi-Regge limit
• Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
• Hexagon OPE Resummation and Multi-Regge Kinematics
• The Two-Loop Symbol of all Multi-Regge Regions
• 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
• The four-loop six-gluon NMHV ratio function
• Strong Wilson polygons from the lodge of free and bound mesons
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• A Novel Algorithm for Nested Summation and Hypergeometric Expansions
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM
• Hexagon Bootstrap in the Double Scaling Limit