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2008

On the Rational Terms of the one-loop amplitudes

Ossola, Giovanni, Papadopoulos, Costas G., Pittau, Roberto

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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.

On the Rational Terms of the one-loop amplitudes · Around

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Then

Z. Bern, L. J. Dixon and D. A. Kosower, Phys. Rev. D 73
Original
2007
Later among the works it cites.
G. Ossola, C. G. Papadopoulos and R. Pittau, Nucl. Phys. B 763
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Later among the works it cites.
G. Ossola, C. G. Papadopoulos and R. Pittau, JHEP 0707
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2007
Later among the works it cites.
R. K. Ellis, W. T. Giele and Z. Kunszt, arXiv:0708.2398 [hep-ph]; C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, JHEP 0703
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