Classical Polylogarithms for Amplitudes and Wilson Loops
arXiv:1006.5703 · doi:10.1103/PhysRevLett.105.151605
Abstract
We present a compact analytic formula for the two-loop six-particle MHV remainder function (equivalently, the two-loop light-like hexagon Wilson loop) in N = 4 supersymmetric Yang-Mills theory in terms of the classical polylogarithm functions Li_k with cross-ratios of momentum twistor invariants as their arguments. In deriving our result we rely on results from the theory of motives.
11 pages, v2: journal version, minor corrections and simplifications, additional details available at http://goo.gl/Cl0y
References in corpus (13)
- Gluon scattering amplitudes at strong coupling
- Conformal properties of four-gluon planar amplitudes and Wilson loops
- MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
- Hexagon Wilson loop = six-gluon MHV amplitude
- The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
- The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
- BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
- Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
- Iterative Structure Within The Five-Particle Two-Loop Amplitude
- Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
- Iterated amplitudes in the high-energy limit
- Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling
- On the two-loop hexagon Wilson loop remainder function in N=4 SYM
Cited by in corpus (15)
- The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
- The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
- Notes on the scattering amplitude / Wilson loop duality
- The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
- Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
- On form factors in N=4 sym
- New differential equations for on-shell loop integrals
- MHV Diagrams in Momentum Twistor Space
- BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
- Simple loop integrals and amplitudes in N=4 SYM
- Analytic Results for MHV Wilson Loops
- Mandelstam cuts and light-like Wilson loops in N=4 SUSY
- Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
- The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
- Some analytic results for two-loop scattering amplitudes