CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes

Abstract

We present a program that implements the OPP reduction method to extract the coefficients of the one-loop scalar integrals from a user defined (sub)-amplitude or Feynman Diagram, as well as the rational terms coming from the 4-dimensional part of the numerator. The rational pieces coming from the epsilon-dimensional part of the numerator are treated as an external input, and can be computed with the help of dedicated tree-level like Feynman rules. Possible numerical instabilities are dealt with the help of arbitrary precision routines, that activate only when needed.

Version published in JHEP

References in corpus (19)

• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• Scalar one-loop integrals for QCD
• Direct extraction of one-loop integral coefficients
• On-Shell Methods in Perturbative QCD
• A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes
• On the Rational Terms of the one-loop amplitudes
• D-dimensional unitarity cut method
• Bootstrapping One-Loop QCD Amplitudes with General Helicities
• Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes
• Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
• S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
• Numerical Evaluation of Six-Photon Amplitudes
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• Loop induced interference effects in Higgs Boson plus two jet production at the LHC
• Six-Photon Amplitudes
• The one-loop amplitude for six-gluon scattering
• The rational parts of one-loop QCD amplitudes I: The general formalism
• The rational parts of one-loop QCD amplitudes II: The five-gluon case
• Formulae for a numerical computation of one-loop tensor integrals

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