Numerical Evaluation of Multi-Loop Feynman Integrals

Alexander Kurz (), Peter Marquard () and Matthias Steinhauser ()
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Alexander Kurz: Deutsches Elektronen-Synchrotron DESY
Peter Marquard: Deutsches Elektronen-Synchrotron DESY
Matthias Steinhauser: Deutsches Elektronen-Synchrotron DESY

A chapter in High Performance Computing in Science and Engineering ’15, 2016, pp 15-21 from Springer

Abstract: Abstract The aim of this project is the evaluation of multi-loop Feynman integrals occurring in perturbative calculations within quantum field theories. The integrals under consideration enter the relation between the $$\overline{\mathrm{MS}}$$ and on-shell definition of heavy quark masses and the anomalous magnetic moment of the muon. Both quantities are considered at four-loop accuracy. This report covers the period from May 2014 to April 2015.

Keywords: Feynman Integral Evaluation; Anomalous Magnetic Moment; Heavy Quark Mass; Master Integrals; Sample Feynman Diagrams (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-24633-8_2

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DOI: 10.1007/978-3-319-24633-8_2

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