BFKL approach and 2->5 MHV amplitude

Abstract

We study MHV amplitude for the 2 -> 5 scattering in the multi-Regge kinematics. The Mandelstam cut correction to the BDS amplitude is calculated in the leading logarithmic approximation (LLA) and the corresponding remainder function is given to any loop order in a closed integral form. We show that the LLA remainder function at two loops for 2 -> 5 amplitude can be written as a sum of two 2 -> 4 remainder functions due to recursive properties of the leading order impact factors. We also make some generalizations for the MHV amplitudes with more external particles. The results of the present study are in agreement with all leg two loop symbol derived by Caron-Huot as shown in a parallel paper of one of the authors with collaborators.

24 pages, 17 figures

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Cited by in corpus (27)

• Motivic Amplitudes and Cluster Coordinates
• Bootstrapping an NMHV amplitude through three loops
• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Heptagons from the Steinmann Cluster Bootstrap
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Cluster adjacency and the four-loop NMHV heptagon
• How tropical are seven- and eight-particle amplitudes?
• Lifting Heptagon Symbols to Functions
• From dlogs to dilogs; the super Yang-Mills MHV amplitude revisited
• All-order amplitudes at any multiplicity in the multi-Regge limit
• 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
• All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology
• Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge-kinematics
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• All two-loop MHV remainder functions in multi-Regge kinematics
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• The Multi-Regge Limit from the Wilson Loop OPE
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Universal transcendentality limit of BFKL eigenvalue