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NNLO hard functions in massless QCD.

Broggio, Alessandro and Ferroglia, Andrea and Pecjak, Ben D. and Zhang, Zhibai (2014) 'NNLO hard functions in massless QCD.', Journal of high energy physics., 2014 (12). 005.


We derive the hard functions for all 2 → 2 processes in massless QCD up to next-to-next-to-leading order (NNLO) in the strong coupling constant. By employing the known one- and two-loop helicity amplitudes for these processes, we obtain analytic expressions for the ultraviolet and infrared finite, minimally subtracted hard functions, which are matrices in color space. These hard functions will be useful in carrying out higher-order resummations in processes such as dijet and highly energetic top-quark pair production by means of soft-collinear effective theory methods.

Item Type:Article
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Publisher statement:Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:05 November 2014
Date deposited:22 April 2016
Date of first online publication:01 December 2014
Date first made open access:No date available

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