On the Rational Terms of the one-loop amplitudes

Abstract

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.

14 pages, 3 figures, uses axodraw.sty

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• Direct extraction of one-loop integral coefficients
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• D-dimensional unitarity cut method
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• Numerical Evaluation of Six-Photon Amplitudes
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• Integral Coefficients for One-Loop Amplitudes
• Six-Photon Amplitudes
• Analytic Structure of Three-Mass Triangle Coefficients
• One-loop Integral Coefficients from Generalized Unitarity
• Formulae for a numerical computation of one-loop tensor integrals

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• One-Loop Gluonic Amplitudes from Single Unitarity Cuts
• Multi-gluon one-loop amplitudes numerically
• Unitarity Method with Spurious Pole
• Generalised Unitarity At One-Loop With Massive Fermions
• Light-by-light scattering amplitudes from generalized unitarity in massive QED
• On the Cuts of Scattering Amplitudes
• Reduction of one-massless-loop with scalar boxes in $n+2$ dimensions