Boosted top production: factorization and resummation for single-particle inclusive distributions

Ferroglia, Andrea; Marzani, Simone; Pecjak, Ben D.; Yang, Li Lin

Abstract

We study single-particle inclusive (1PI) distributions in top-quark pair production at hadron colliders, working in the highly boosted regime where the top-quark p T is much larger than its mass. In particular, we derive a novel factorization formula valid in the small-mass and soft limits of the differential partonic cross section. This provides a framework for the simultaneous resummation of soft gluon corrections and small-mass logarithms, and also an efficient means of obtaining higher-order corrections to the differential cross section in this limit. The result involves five distinct one-scale functions, three of which arise through the subfactorization of soft real radiation in the small-mass limit. We list the NNLO corrections to each of these functions, building on results in the literature by performing a new calculation of a soft function involving four light-like Wilson lines to this order. We thus obtain a nearly complete description of the small-mass limit of the differential partonic cross section at NNLO near threshold, missing only terms involving closed top-quark loops in the virtual corrections.

Citation

Ferroglia, A., Marzani, S., Pecjak, B. D., & Yang, L. L. (2014). Boosted top production: factorization and resummation for single-particle inclusive distributions. Journal of High Energy Physics, 2014(1), Article 028. https://doi.org/10.1007/jhep01%282014%29028

• Journal Article Type: Article
• Acceptance Date: Dec 14, 2013
• Online Publication Date: Jan 8, 2014
• Publication Date: Jan 8, 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: 1
• Article Number: 028
• DOI: https://doi.org/10.1007/jhep01%282014%29028
• Public URL: https://durham-repository.worktribe.com/output/1416896
• Related Public URLs: http://arxiv.org/abs/1310.3836