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On the Rational Terms of the one-loop amplitudes

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arxiv 0802.1876 v1 pith:OKAZELFC submitted 2008-02-13 hep-ph

On the Rational Terms of the one-loop amplitudes

classification hep-ph
keywords termsone-loopamplitudesdimensionalnumeratorrationalalgorithmsamplitude
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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