Soft functions for generic jet algorithms and observables at hadron colliders

• Published in: The journal of high energy physics Vol. 2017; no. 7; pp. 1 - 47
• Main Authors: Bertolini, Daniele, Kolodrubetz, Daniel, Neill, Duff, Pietrulewicz, Piotr, Stewart, Iain W., Tackmann, Frank J., Waalewijn, Wouter J.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2017; Springer Nature B.V; Springer Berlin; SpringerOpen
• Subjects: Algorithms; Atomic and Nuclear Physics; Classical and Quantum Gravitation; Elementary Particles; High energy physics; Jets; NLO Computations; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; NLO Computations; Jets
• ISSN: 1029-8479; 1126-6708; 1127-2236; 1029-8479
• DOI: 10.1007/JHEP07(2017)099

A bstract We introduce a method to compute one-loop soft functions for exclusive N - jet processes at hadron colliders, allowing for different definitions of the algorithm that determines the jet regions and of the measurements in those regions. In particular, we generalize the N -jettiness hemisphere decomposition of ref. [1] in a manner that separates the dependence on the jet boundary from the observables measured inside the jet and beam regions. Results are given for several factorizable jet definitions, including anti- k T , XCone, and other geometric partitionings. We calculate explicitly the soft functions for angularity measurements, including jet mass and jet broadening, in pp → L + 1 jet and explore the differences for various jet vetoes and algorithms. This includes a consistent treatment of rapidity divergences when applicable. We also compute analytic results for these soft functions in an expansion for a small jet radius R . We find that the small- R results, including corrections up to O R 2 , accurately capture the full behavior over a large range of R .