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Double virtual corrections for gluon scattering at NNLO.

Gehrmann-De Ridder, A. and Gehrmann, T. and Glover, E.W.N. and Pires, J. (2013) 'Double virtual corrections for gluon scattering at NNLO.', Journal of high energy physics., 2013 (2). 026.

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.

Item Type:Article
Keywords:Jets, Hadronic colliders.
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/JHEP02(2013)026
Publisher statement:© SISSA 2013. Published for SISSA by Springer. The final publication is available at Springer via http://dx.doi.org/10.1007/JHEP02(2013)026.
Date accepted:No date available
Date deposited:09 July 2014
Date of first online publication:February 2013
Date first made open access:No date available

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