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Double virtual corrections for gluon scattering at NNLO

Gehrmann-De Ridder, A.; Gehrmann, T.; Glover, E.W.N.; Pires, J.

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Authors

A. Gehrmann-De Ridder

T. Gehrmann

J. Pires



Abstract

We use the antenna subtraction method to isolate the double virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In previous papers, we derived the subtraction terms that rendered (a) the double real radiation tree-level process finite in the single and double unresolved regions of phase space and (b) the mixed single real radiation one-loop process both finite and well behaved in the unresolved regions of phase space. Here, we show how to construct the double virtual subtraction term using antenna functions with both initial- and final-state partons which remove the explicit infrared poles present in the two-loop amplitude. As an explicit example, we write down the subtraction term for the four-gluon two-loop process. The infrared poles are explicitly and locally cancelled in all regions of phase space leaving a finite remainder that can be safely evaluated numerically in four-dimensions.

Citation

Gehrmann-De Ridder, A., Gehrmann, T., Glover, E., & Pires, J. (2013). Double virtual corrections for gluon scattering at NNLO. Journal of High Energy Physics, 2013(2), Article 026. https://doi.org/10.1007/jhep02%282013%29026

Journal Article Type Article
Publication Date Feb 6, 2013
Deposit Date Jan 30, 2014
Publicly Available Date Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2013
Issue 2
Article Number 026
DOI https://doi.org/10.1007/jhep02%282013%29026
Keywords Jets, Hadronic colliders.

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