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arxiv: 0802.1876 · v1 · submitted 2008-02-13 · ✦ hep-ph

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On the Rational Terms of the one-loop amplitudes

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classification ✦ hep-ph
keywords termsone-loopamplitudesdimensionalnumeratorrationalalgorithmsamplitude
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The various sources of Rational Terms contributing to the one-loop amplitudes are critically discussed. We show that the terms originating from the generic (n-4)-dimensional structure of the numerator of the one-loop amplitude can be derived by using appropriate Feynman rules within a tree-like computation. For the terms that originate from the reduction of the 4-dimensional part of the numerator, we present two different strategies and explicit algorithms to compute them.

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