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

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

2011-12-29

arxiv.org/abs/1112.6365v2

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 2 figures. v2: minor corrections

Scientific paper

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.

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