Automated computation of one-loop integrals in massless theories

Abstract

We consider one-loop tensor and scalar integrals, which occur in a massless quantum field theory and we report on the implementation into a numerical program of an algorithm for the automated computation of these one-loop integrals. The number of external legs of the loop integrals is not restricted. All calculations are done within dimensional regularization.

28 pages, version to be published

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Cited by in corpus (46)

• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• Reduction schemes for one-loop tensor integrals
• CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes
• Scalar one-loop integrals for QCD
• Hard Interactions of Quarks and Gluons: a Primer for LHC Physics
• Automated one-loop calculations: a proof of concept
• An algebraic/numerical formalism for one-loop multi-leg amplitudes
• Electroweak Radiative Corrections for Collider Physics
• The Cut-Constructible Part of QCD Amplitudes
• NLO QCD corrections to tri-boson production
• GRACE at ONE-LOOP: Automatic calculation of 1-loop diagrams in the electroweak theory with gauge parameter independence checks
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• Numerical Evaluation of Six-Photon Amplitudes
• Tensorial Reconstruction at the Integrand Level
• Numerical NLO QCD calculations
• Optimizing the Reduction of One-Loop Amplitudes
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• Numerical evaluation of loop integrals
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