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N=4 supersymmetric Yang Mills scattering amplitudes at high energies: the Regge cut contribution

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arxiv 0807.0894 v2 pith:YVJMZDP5 submitted 2008-07-06 hep-th

J. Bartels , L. N. Lipatov , A. Sabio Vera This is my paper · ORCID
classification hep-th
keywords reggeamplitudeschannelcontributionbfklenergyequationfind
verification ladder T0 review T1 audit T2 compute T3 formal
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We further investigate, in the planar limit of N=4 supersymmetric Yang Mills theories,the high energy Regge behavior of six-point MHV scattering amplitudes. In particular, for the new Regge cut contribution found in our previous paper, we compute in the leading logarithmic approximation (LLA) the energy spectrum of the BFKL equation in the color octet channel, and we calculate explicitly the two loop corrections to the discontinuities of the amplitudes for the transitions 2 to 4 and 3 to 3. We find an explicit solution of the BFKL equation for the octet channel for arbitrary momentum transfers and investigate the intercepts of the Regge singularities in this channel. As an important result we find that the universal collinear and infrared singularities of the BDS formula are not affected by this Regge-cut contribution. Any improvement of the BDS formula should reproduce this cut to all orders in the coupling.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Double spacelike collinear limits from multi-Regge kinematics

    hep-th 2025-07 conditional novelty 7.0 of 10

    The double spacelike collinear limit of planar N=4 SYM is governed by a generalized splitting amplitude that equals the six-point BDS-subtracted amplitude in multi-Regge kinematics.

  2. The Two-Loop Lipatov Vertex in QCD

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The two-loop Reggeon-gluon-Reggeon (Lipatov) vertex in QCD is determined in dimensional regularization through finite terms and expressed in single-valued polylogarithms.

  3. Regge poles and cuts and the Lipatov vertex

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A two-loop multi-Reggeon exchange contribution to 2->3 amplitudes is computed for the first time, enabling extraction of the two-loop Lipatov vertex.

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