Scattering amplitudes from unitarity-based reduction algorithm at the integrand-level

2010/06/03 by P. Mastrolia, Pierpaolo Mastrolia, Giovanni Ossola +4 · 5 citations
Physics and Astronomy · #Algorithm #Amplitude #Artificial intelligence #Computer science #Dimensional regularization #Feynman diagram #High-Energy Particle Collisions Research #Large Hadron Collider #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Regularization (linguistics) #Renormalization #Scattering #Scattering amplitude #Unitarity #hep-ph

paper · pdf · doi:10.1007/jhep08(2010)080

published as JHEP 1008:080,2010 · 35 pages, 7 figures

arxiv created 2010/06/03 · openalex publication_date 2010/08/01 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

samurai is a tool for the automated numerical evaluation of one-loop corrections to any scattering amplitudes within the dimensional-regularization scheme. It is based on the decomposition of the integrand according to the OPP -approach, extended to accommodate an implementation of the generalized d -dimensional unitarity-cuts technique, and uses a polynomial interpolation exploiting the Discrete Fourier Transform. samurai can process integrands written either as numerator of Feynman diagrams or as product of tree-level amplitudes. We discuss some applications, among which the 6-and 8-photon scattering in QED, and the 6-quark scattering in QCD. samurai has been implemented as a Fortran90 library, publicly available, and it could be a useful module for the systematic evaluation of the virtual corrections oriented towards automating next-to-leading order calculations relevant for the LHC phenomenology.

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