NNLO hard functions in massless QCD

Broggio, Alessandro; Ferroglia, Andrea; Pecjak, Ben D.; Zhang, Zhibai

Abstract

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.

Citation

Broggio, A., Ferroglia, A., Pecjak, B. D., & Zhang, Z. (2014). NNLO hard functions in massless QCD. Journal of High Energy Physics, 2014(12), Article 005. https://doi.org/10.1007/jhep12%282014%29005

• Journal Article Type: Article
• Acceptance Date: Nov 5, 2014
• Online Publication Date: Dec 1, 2014
• Publication Date: Dec 1, 2014
• Deposit Date: Dec 9, 2015
• Publicly Available Date: Apr 22, 2016
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2014
• Issue: 12
• Article Number: 005
• DOI: https://doi.org/10.1007/jhep12%282014%29005
• Public URL: https://durham-repository.worktribe.com/output/1425019
• Related Public URLs: http://arxiv.org/abs/1409.5294