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.
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References
FORM version 3.0 is described in: J. A. M. Vermaseren, “New features of FORM”, arXiv:math-ph/0010025; for more developments, see also: M. Tentyukov and J. A. M. Vermaseren, “Extension of the functionality of the symbolic program FORM by external software”, arXiv:cs.sc/0604052; FORM can be obtained from the distribution site at http://www.nikhef.nl/~form.
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Baikov, P., Chetyrkin, K., Kühn, J.H., Marquard, P., Steinhauser, M. (2012). Massive and Massless Four-Loop Integrals. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering '11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23869-7_7
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DOI: https://doi.org/10.1007/978-3-642-23869-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23868-0
Online ISBN: 978-3-642-23869-7
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