An analytic result for the two-loop hexagon Wilson loop in N = 4 SYM

By V. Duca, Claude Duhr, Vladimir A. Smirnov. 2010

143 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/fd8da75d2a4f8d7303ca1eaae889785f56d15d18

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. L. Dixon
2. J. Drummond
3. Claude Duhr
4. B. Basso
5. S. Caron-Huot
6. L. Alday
7. N. Arkani-Hamed
8. J. Maldacena

Citations in the corpus

• From polygons and symbols to polylogarithmic functions (2011, unknown): “[61, 62].”
• The complete planar S-matrix of $ \mathcal{N} = 4 $ SYM as a Wilson loop in twistor space (2010, background): “) Our proposal is motivated by the corresponding proposal in dual space-time that null polygonal Wilson loops yield the planar MHV amplitude to all loop orders [8, 9, 10, 11, 12, 13, 14, 15, 16].”
• Space-time S-matrix and flux tube S-matrix II. Extracting and matching data (2013, methodology): “At two loops, we used the result of [12,51] for the two loops remainder function.”
• Hexagon functions and the three-loop remainder function (2013, background): “[32] (which was first constructed analytically in terms of multiple polylogarithms [36, 37]), it was conjectured [33, 34] that for multi-loop six-point amplitudes, both the MHV remainder function and the next-to-MHV (NMHV) ratio function are described in terms of polylogarithmic functions whose symb”
• Bootstrapping an NMHV amplitude through three loops (2014, methodology): “The analytic solution for the two-loop remainder function R (2) 6 (u, v, w) [61, 62], after it was simplified dramatically using the symbol [4], provided the inspiration for an ansatz for the symbol of the remainder function at higher loops [26].”
• Y-system for scattering amplitudes (2010, background): “Two loop perturbative computations of this piece include [11, 12, 13, 14], and several subsequent papers.”
• Single-valued harmonic polylogarithms and the multi-Regge limit (2012, methodology): “Based on the Wilson line representation [15], and using dual conformal invariance to take a quasi-multi-Regge limit and simplify the integrals, an analytic result for R (2) 6 was derived [17, 18] in terms of Goncharov’s multiple polylogarithms [19].”
• Bootstrapping the three-loop hexagon (2011, background): “The form of our ansatz is certainly sufficient at the two-loop level, because the remainder function is explicitly known [6, 7, 32, 33, 35], and its symbol is indeed of this form [35].”
• A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon (2014, background): “For higher multiplicities, explicit results in SYM theory so far have been confined (in general kinematics) to two loops [62, 63, 64, 65].”
• Mathematical aspects of scattering amplitudes (2014, methodology): “[57, 58] the so-called two-loop six-point remainder function in N = 4 SYM was evaluated, and the result was expressed as a 17-page-long combination of MPLs of uniform weight four.”
• Motivic amplitudes and cluster coordinates (2013, methodology): “This was originally computed numerically in [44, 45], then analytically in [46, 47] in terms of generalized polylogarithm functions, and finally in a vastly simplified form in terms of only the classical Lim functions in [22].”
• The four-loop six-gluon NMHV ratio function (2015, result): “The assumption that the functions lie in this space was originally inspired by the compact analytic form found for the two-loop remainder function [41], following earlier work [42, 43].”
• Pulling the straps of polygons (2011, methodology): “A simple compact expression for the remainder function for the hexagon Wilson loop was found in [7], based on previous work [6, 5].”
• Classical polylogarithms for amplitudes and Wilson loops. (2010, methodology): “[13] V.”