All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology

Abstract

Recent progress on scattering amplitudes has benefited from the mathematical technology of symbols for efficiently handling the types of polylogarithm functions which frequently appear in multi-loop computations. The symbol for all two-loop MHV amplitudes in planar SYM theory is known, but explicit analytic formulas for the amplitudes are hard to come by except in special limits where things simplify, such as multi-Regge kinematics. By applying symbology we obtain a formula for the leading behavior of the imaginary part (the Mandelstam cut contribution) of this amplitude in multi-Regge kinematics for any number of gluons. Our result predicts a simple recursive structure which agrees with a direct BFKL computation carried out in a parallel publication.

20 pages, 2 figures. v2: minor corrections

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Cited by in corpus (15)

• Motivic Amplitudes and Cluster Coordinates
• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Heptagons from the Steinmann Cluster Bootstrap
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• The last of the simple remainders
• Mellin Amplitudes for Dual Conformal Integrals
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory at multi-Regge kinematics: Conformal Regge pole contribution
• The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• Wilson loop OPE, analytic continuation and multi-Regge limit
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• All two-loop MHV remainder functions in multi-Regge kinematics
• The Multi-Regge Limit from the Wilson Loop OPE
• Scattering amplitudes in gauge theories with and without supersymmetry
• Universal transcendentality limit of BFKL eigenvalue