The NNLO QCD soft function for 1-jettiness

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

doi:10.1140/epjc/s10052-018-5732-1

The NNLO QCD soft function for 1-jettiness

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

Authors

John M. Campbell

Professor Keith Ellis keith.ellis@durham.ac.uk
Emeritus Professor

Roberto Mondini

Ciaran Williams

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

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© The Author(s) 2018.
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