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

References in corpus (3)

• Integral Coefficients for One-Loop Amplitudes
• One-loop Integral Coefficients from Generalized Unitarity
• Formulae for a numerical computation of one-loop tensor integrals

Cited by in corpus (6)

• An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
• Automation of the Dipole Subtraction Method in MadGraph/MadEvent
• Optimizing the Reduction of One-Loop Amplitudes
• Closed-Form Decomposition of One-Loop Massive Amplitudes
• Generalised Unitarity At One-Loop With Massive Fermions
• On the Cuts of Scattering Amplitudes