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Recursive generation of one-loop amplitudes in the Standard Model

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Abstract

We introduce the computer code Recola for the recursive generation of tree-level and one-loop amplitudes in the Standard Model. Tree-level amplitudes are constructed using off-shell currents instead of Feynman diagrams as basic building blocks. One-loop amplitudes are represented as linear combinations of tensor integrals whose coefficients are calculated similarly to the tree-level amplitudes by recursive construction of loop off-shell currents. We introduce a novel algorithm for the treatment of colour, assigning a colour structure to each off-shell current which enables us to recursively construct the colour structure of the amplitude efficiently. Recola is interfaced with a tensor-integral library and provides complete one-loop Standard Model amplitudes including rational terms and counterterms. As a first application we consider Z + 2 jets production at the LHC and calculate with Recola the next-to-leading-order electroweak corrections to the dominant partonic channels.

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Article Open access 22 October 2019

Federico Buccioni, Jean-Nicolas Lang, … Max F. Zoller

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Authors and Affiliations

  1. Paul Scherrer Institut, Würenlingen und Villigen, CH-5232, Villigen PSI, Switzerland

    S. Actis

  2. Universität Würzburg, Institut für Theoretische Physik und Astrophysik, Emil-Hilb-Weg 22, D-97074, Würzburg, Germany

    A. Denner, L. Hofer & A. Scharf

  3. Università di Torino, Dipartimento di Fisica, and INFN, Sezione di Torino, via Giuria 1, Torino, Italy

    S. Uccirati

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  1. S. Actis
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  2. A. Denner
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  3. L. Hofer
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  4. A. Scharf
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  5. S. Uccirati
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Corresponding author

Correspondence to A. Denner.

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ArXiv ePrint: 1211.6316

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Actis, S., Denner, A., Hofer, L. et al. Recursive generation of one-loop amplitudes in the Standard Model. J. High Energ. Phys. 2013, 37 (2013). https://doi.org/10.1007/JHEP04(2013)037

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  • DOI: https://doi.org/10.1007/JHEP04(2013)037

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