The NNLO QCD soft function for 1-jettiness

Campbell, John M.; Ellis, R. Keith; Mondini, Roberto; Williams, Ciaran

Abstract

We calculate the soft function for the global event variable 1-jettiness at next-to-next-to-leading order (NNLO) in QCD. We focus specifically on the non-Abelian contribution, which, unlike the Abelian part, is not determined by the next-to-leading order result. The calculation uses the known general forms for the emission of one and two soft partons and is performed using a sector-decomposition method that is spelled out in detail. Results are presented in the form of numerical fits to the 1-jettiness soft function for LHC kinematics (as a function of the angle between the incoming beams and the final-state jet) and for generic kinematics (as a function of three independent angles). These fits represent one of the needed ingredients for NNLO calculations that use the N-jettiness event variable to handle infrared singularities.

Citation

Campbell, J. M., Ellis, R. K., Mondini, R., & Williams, C. (2018). The NNLO QCD soft function for 1-jettiness. The European Physical Journal C, 78(3), Article 234. https://doi.org/10.1140/epjc/s10052-018-5732-1

• Journal Article Type: Article
• Acceptance Date: Mar 12, 2018
• Online Publication Date: Mar 19, 2018
• Publication Date: Mar 19, 2018
• Deposit Date: Apr 3, 2018
• Publicly Available Date: Apr 5, 2018
• Journal: European Physical Journal C: Particles and Fields
• Print ISSN: 1434-6044
• Electronic ISSN: 1434-6052
• Publisher: SpringerOpen
• Peer Reviewed: Peer Reviewed
• Volume: 78
• Issue: 3
• Article Number: 234
• DOI: https://doi.org/10.1140/epjc/s10052-018-5732-1
• Public URL: https://durham-repository.worktribe.com/output/1331315