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Calculating Four-Loop Corrections in QCD

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Anti-Differentiation and the Calculation of Feynman Amplitudes

Part of the book series: Texts & Monographs in Symbolic Computation ((TEXTSMONOGR))

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Abstract

We review the current status of perturbative corrections in QCD at four loops for scattering processes with space- and time-like kinematics at colliders, with specific focus on deep-inelastic scattering and electron-positron annihilation. The calculations build on the parametric reduction of loop and phase space integrals up to four-loop order using computer algebra programs such as Form, designed for large scale computations.

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Acknowledgements

S.M. is support by Deutsche Forschungsgemeinschaft (DFG) through the Research Unit FOR 2926, “Next Generation pQCD for Hadron Structure: Preparing for the EIC”, project MO 1801/5-1.

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Authors and Affiliations

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

    Sven-Olaf Moch

  2. Institut für Theoretische Physik, Campus Süd, Karlsruher Institut für Technologie (KIT), Karlsruhe, Germany

    Vitaly Magerya

Authors
  1. Sven-Olaf Moch
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  2. Vitaly Magerya
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Correspondence to Sven-Olaf Moch .

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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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Moch, SO., Magerya, V. (2021). Calculating Four-Loop Corrections in QCD. 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_14

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  • DOI: https://doi.org/10.1007/978-3-030-80219-6_14

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  • Online ISBN: 978-3-030-80219-6

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