Mandelstam cuts and light-like Wilson loops in N=4 SUSY

Abstract

We perform an analytic continuation of the two-loop remainder function for the six-point planar MHV amplitude in N=4 SUSY, found by Goncharov, Spradlin, Vergu and Volovich from the light-like Wilson loop representation. The remainder function is continued into a physical region, where all but two energy invariants are negative. It turns out to be pure imaginary in the multi-Regge kinematics, which is in an agreement with the predictions based on the Steinmann relations for the Regge poles and Mandelstam cut contributions. The leading term reproduces correctly the expression calculated by one of the authors in the BFKL approach, while the subleading term presents a result, that was not yet found with the use of the unitarity techniques. This supports the applicability of the Wilson loop approach to the planar MHV amplitudes in N=4 SUSY.

11 pages, 4 figures

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• Gluon scattering amplitudes at strong coupling
• Classical Polylogarithms for Amplitudes and Wilson Loops
• 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
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Cited by in corpus (8)

• Bootstrapping an NMHV amplitude through three loops
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics
• Universal transcendentality limit of BFKL eigenvalue