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Real-virtual corrections for gluon scattering at NNLO

Gehrmann-De Ridder, Aude; Glover, E.W.N.; Pires, Joao

Authors

Aude Gehrmann-De Ridder

Joao Pires



Abstract

We use the antenna subtraction method to isolate the mixed real-virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In a previous paper, we derived the subtraction term that rendered the double real radiation tree-level process finite in the single and double unresolved regions of phase space. Here, we show how to construct the real-virtual subtraction term using antenna functions with both initial- and final-state partons which removes the explicit infrared poles present in the one-loop amplitude, as well as the implicit singularities that occur in the soft and collinear limits. As an explicit example, we write down the subtraction term that describes the single unresolved contributions from the five-gluon one-loop process. The infrared poles are explicitly and locally cancelled in all regions of phase space prior to integration, leaving a finite remainder that can be safely evaluated numerically in four-dimensions. We show numerically that the subtraction term correctly approximates the matrix elements in the various single unresolved configurations.

Citation

Gehrmann-De Ridder, A., Glover, E., & Pires, J. (2012). Real-virtual corrections for gluon scattering at NNLO. Journal of High Energy Physics, 2012(02), https://doi.org/10.1007/jhep02%282012%29141

Journal Article Type Article
Acceptance Date Jan 24, 2012
Publication Date Feb 28, 2012
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 2012
Issue 02
DOI https://doi.org/10.1007/jhep02%282012%29141

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