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On the two-loop hexagon Wilson loop remainder function in N = 4 SYM

On the two-loop hexagon Wilson loop remainder function in N = 4 SYM,10.1016/j.physletb.2011.01.056,Physics Letters B,Jian-Hui Zhang

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On the two-loop hexagon Wilson loop remainder function in N = 4 SYM (Citations: 9)


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A duality relation has been proposed between the planar gluon MHV amplitudes and light-like Wilson loops in N=4 super Yang–Mills. At six-point two-loop, the results for the planar gluon MHV amplitude and for the light-like Wilson loop agree, but they both differ from the Bern–Dixon–Smirnov ansatz by a finite remainder function. Recently Del Duca, Duhr and Smirnov presented an analytical result for the two-loop hexagon Wilson loop remainder function in general kinematics. Their result is rather lengthy, and the dependence on the conformal cross ratios appears in a complicated way. Here we present an alternate, more compact representation for the two-loop hexagon Wilson loop remainder function.

Journal: Physics Letters B - PHYS LETT B , vol. 697, no. 4, pp. 370-377, 2011

DOI: 10.1016/j.physletb.2011.01.056

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Citation Context (5)

- ...In the next section we will check that for the case of an hexagon the strong coupling answer [15], as well as the two loop weak coupling answer [13, 20, 21] has the form predicted by (3.8)...
Luis F. Alday, et al. An operator product expansion for polygonal null Wilson loops
- ...[16], R (2) 6,W L has been expressed in terms of one-dimensional integrals...
Vittorio Del Duca, et al. A two-loop octagon Wilson loop in SYM
- ...The result at n = 6 was expressed in terms of a 17-pages long linear combination of generalised polylogarithm functions of uniform transcendental weight four (or alternatively it was also recast in [16] in terms of one-dimensional integrals.) Following these exciting developments, the authors of [17] were able to find another representation of the hexagon result at twoloops in terms of a remarkably simple compact expression involving only ...
Paul Heslop, et al. Analytic results for MHV Wilson loops
- ...The analytic calculation of remainder function for six-point was also performed in [36, 37]...
Gang Yang. Scattering amplitudes at strong coupling for 4 K gluons
- ...In particular, together with the recent results of the analytic form at weak coupling [41, 42], which is still under active investigation, our strong coupling result will give a clue to understand the scattering amplitude to all order in the context of the AdS/CFT correspondence...
Yasuyuki Hatsuda, et al. Six-point gluon scattering amplitudes from -symmetric integrable model

Keywords (2)

On the two-loop hexagon Wilson loop remainder function in N = 4 SYM,10.1016/j.physletb.2011.01.056,Physics Letters B,Jian-Hui Zhang

Citation Context (5)

Luis F. Alday, et al. An operator product expansion for polygonal null Wilson loops

Vittorio Del Duca, et al. A two-loop octagon Wilson loop in SYM

Paul Heslop, et al. Analytic results for MHV Wilson loops

Gang Yang. Scattering amplitudes at strong coupling for 4 K gluons

Yasuyuki Hatsuda, et al. Six-point gluon scattering amplitudes from -symmetric integrable model

References (41)

Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond (Citations: 204)

Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory (Citations: 128)

Mass divergences of wide-angle scattering amplitudes (Citations: 7)

Asymptotic behavior of the Sudakov form factor (Citations: 36)

Algorithm to compute corrections to the Sudakov form factor (Citations: 28)

Citations (9)

A simple collinear limit of scattering amplitudes at strong coupling (Citations: 1)

An operator product expansion for polygonal null Wilson loops

Classical Polylogarithms for Amplitudes and Wilson Loops (Citations: 22)

A two-loop octagon Wilson loop in SYM (Citations: 19)

Analytic results for MHV Wilson loops (Citations: 6)


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