Zeitschrift für Physik C Particles and Fields

, Volume 46, Issue 3, pp 425–437 | Cite as

New algorithms for one-loop integrals

  • G. J. van Oldenborgh
  • J. A. M. Vermaseren


New algorithms are presented for evaluating the scalar one loop integrals for three- and four-point functions for arbitrary masses and external momenta. These formulations are useful both for analytic integration and for numerical evaluation in a computer program. The expressions are very compact and provide for an easy isolation of asymptotic behaviour and potential numerical problems. The tensor integrals have also been rewritten according to new algorithms, making it very easy to express amplitudes in terms of scalar loop integrals.


Field Theory Elementary Particle Quantum Field Theory Computer Program Asymptotic Behaviour 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • G. J. van Oldenborgh
    • 1
  • J. A. M. Vermaseren
    • 1
  1. 1.NIKHEF-HAmsterdamThe Netherlands

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