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Massive and Massless Four-Loop Integrals

In: High Performance Computing in Science and Engineering '11

Author

Listed:
  • P. Baikov

    (Karlsruher Institut für Technologie, Institut für Theoretische Teilchenphysik)

  • K. Chetyrkin

    (Karlsruher Institut für Technologie, Institut für Theoretische Teilchenphysik)

  • J. H. Kühn

    (Karlsruher Institut für Technologie, Institut für Theoretische Teilchenphysik)

  • P. Marquard

    (Karlsruher Institut für Technologie, Institut für Theoretische Teilchenphysik)

  • M. Steinhauser

    (Karlsruher Institut für Technologie, Institut für Theoretische Teilchenphysik)

Abstract

The main focus of this project lies on the computation of four-loop Feynman diagrams, which appear in the evaluation of quantum corrections to various physical observables in modern elementary particle physics. The analytical calculation of the underlying integrals requires huge computational resources, despite the use of optimized algorithms, which are handled with the help of the parallel computer algebra programs ParFORM and TFORM. In the article various typical families of integrals and some phenomenological applications are discussed.

Suggested Citation

  • P. Baikov & K. Chetyrkin & J. H. Kühn & P. Marquard & M. Steinhauser, 2012. "Massive and Massless Four-Loop Integrals," Springer Books, in: Wolfgang E. Nagel & Dietmar B. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering '11, edition 127, pages 83-87, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-23869-7_7
    DOI: 10.1007/978-3-642-23869-7_7
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