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Annual Review of Nuclear and Particle Science

Volume 68, 2018

Automated Computation of One-Loop Amplitudes

Abstract

The automation of one-loop amplitudes plays a key role in addressing several computational challenges for hadron collider phenomenology: They are needed for simulations including next-to-leading-order corrections, which can be large at hadron colliders. They also allow the exact computation of loop-induced processes. A high degree of automation has now been achieved in public codes that do not require expert knowledge and can be widely used in the high-energy physics community. In this article, we review many of the methods and tools used for the different steps of automated one-loop amplitude calculations: renormalization of the Lagrangian, derivation and evaluation of the amplitude, its decomposition onto a basis of scalar integrals and their subsequent evaluation, as well as computation of the rational terms.

Keyword(s): numerical methods, one-loop, rational terms, renormalization, tensor reduction

[Erratum, Closure]

An erratum has been published for this article:
Erratum: Automated Computation of One-Loop Amplitudes
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2018-10-19
2024-04-19
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Automated Computation of One-Loop Amplitudes
Annual Review of Nuclear and Particle Science 68, 291 (2018); https://doi.org/10.1146/annurev-nucl-101917-020959
/content/journals/10.1146/annurev-nucl-101917-020959
/content/journals/10.1146/annurev-nucl-101917-020959
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