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N =  4 SYM Gauge Theories: The 2 → 6 Amplitude in the Regge Limit

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Anti-Differentiation and the Calculation of Feynman Amplitudes

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Abstract

In this contribution we discuss the Regge limit of scattering amplitudes in N =  4 SYM in the planar approximation. The analysis is based upon unitarity and energy discontinuities, and the analytic structure plays a vital role. We first summarize the lessons learned from the study of the remainder functions of the 2 → 4 and the 2 → 5 scattering amplitudes and then present new results for the 2 → 6 amplitude.

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Authors and Affiliations

  1. Universität Hamburg, II. Institut für Theoretische Physik, Hamburg, Germany

    Jochen Bartels

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  1. Jochen Bartels
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Correspondence to Jochen Bartels .

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Editors and Affiliations

  1. Deutsches Elektronen-Synchrotron, DESY, Zeuthen, Germany

    Johannes Blümlein

  2. Research Institute for Symbolic Computation, Johannes Kepler University Linz, Linz, Austria

    Carsten Schneider

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Bartels, J. (2021). N =  4 SYM Gauge Theories: The 2 → 6 Amplitude in the Regge Limit. In: Blümlein, J., Schneider, C. (eds) Anti-Differentiation and the Calculation of Feynman Amplitudes. Texts & Monographs in Symbolic Computation. Springer, Cham. https://doi.org/10.1007/978-3-030-80219-6_4

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  • DOI: https://doi.org/10.1007/978-3-030-80219-6_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-80218-9

  • Online ISBN: 978-3-030-80219-6

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