BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills

Abstract

We consider the planar MHV amplitude in N=4 supersymmetric Yang-Mills theory for 2 -> 4 particle scattering at two and three loops in the Regge kinematics. We perform an analytic continuation of two-loop result for the remainder function found by Goncharov, Spradlin, Vergu and Volovich to the physical region, where the remainder function does not vanish in the Regge limit. After the continuation both the leading and the subleading in the logarithm of the energy terms are extracted and analyzed. Using this result we calculate the next-to-leading corrections to the impact factors required in the BFKL approach. The BFKL technique was used to find the leading imaginary and real parts of the remainder function at three loops.

33 pages, 6 figures

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• 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
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• Dressing and Wrapping
• On the highest transcendentality in N=4 SUSY
• Photon impact factor in the next-to-leading order
• New differential equations for on-shell loop integrals
• Integrability of scattering amplitudes in N=4 SUSY
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• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM

Cited by in corpus (12)

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• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics
• The long road from Regge poles to the LHC
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Conformal geometry of null hexagons for Wilson loops and scattering amplitudes
• Universal transcendentality limit of BFKL eigenvalue