Numerical Evaluation of Six-Photon Amplitudes

Abstract

We apply the recently proposed amplitude reduction at the integrand level method, to the computation of the scattering process 2 photons -> 4 photons, including the case of a massive fermion loop. We also present several improvements of the method, including a general strategy to reconstruct the rational part of any one-loop amplitude and the treatment of vanishing Gram-determinants.

21 pages, 3 figures. Version accepted for publication in JHEP

References in corpus (4)

• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• D-dimensional unitarity cut method
• Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
• Six-Photon Amplitudes

Cited by in corpus (16)

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• A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes
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• Double-Cut of Scattering Amplitudes and Stokes' Theorem
• Optimizing the Reduction of One-Loop Amplitudes
• Integral Coefficients for One-Loop Amplitudes
• Closed-Form Decomposition of One-Loop Massive Amplitudes
• Multi-gluon one-loop amplitudes using tensor integrals
• The one-loop gluon amplitude for heavy-quark production at NNLO
• Analytic Structure of Three-Mass Triangle Coefficients
• One-Loop Gluonic Amplitudes from Single Unitarity Cuts
• Unitarity Method with Spurious Pole
• b anti-b Higgs production at the LHC: Yukawa corrections and the leading Landau singularity
• On the Cuts of Scattering Amplitudes