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Computer Algebra in High-Energy Physics (Invited Talk)

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Computer Algebra in Scientific Computing (CASC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9890))

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Abstract

Paper and pencil are no longer sufficient to obtain the predictions mandated by modern colliders. This is due to the required precision, the number of final-state particles, and also the number of particles in the model. More than any other collider, the Large Hadron Collider (LHC) at CERN has to rely on precise theoretical predictions to even look in the right place, let alone test measurements at a quantitative level. The methods of perturbative quantum field theory, Feynman diagrams, have not changed much over time, and their application remains a formidable, though fully algorithmic, calculational problem. This contribution focusses on how Computer Algebra plays an essential role in this programme and shows by a few examples how the methods are actually implemented in a Computer Algebra system.

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Authors and Affiliations

  1. Max Planck Institute for Physics, Föhringer Ring 6, 80805, Munich, Germany

    Thomas Hahn

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  1. Thomas Hahn
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Correspondence to Thomas Hahn .

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Editors and Affiliations

  1. Laboratory of Information Technologies, Joint Institute of Nuclear Research, Dubna, Russia

    Vladimir P. Gerdt

  2. Institut für Mathematik, Universität Kassel, Kassel, Germany

    Wolfram Koepf

  3. Institut für Mathematik, Universität Kassel, Kassel, Germany

    Werner M. Seiler

  4. Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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Hahn, T. (2016). Computer Algebra in High-Energy Physics (Invited Talk). In: Gerdt, V., Koepf, W., Seiler, W., Vorozhtsov, E. (eds) Computer Algebra in Scientific Computing. CASC 2016. Lecture Notes in Computer Science(), vol 9890. Springer, Cham. https://doi.org/10.1007/978-3-319-45641-6_17

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  • DOI: https://doi.org/10.1007/978-3-319-45641-6_17

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  • Online ISBN: 978-3-319-45641-6

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