Soft functions for generic jet algorithms and observables at hadron colliders
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13130_2017_Article_6384.pdf
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Checksum (MD5)
e17b148ad652a071069fd73e8ca00120
Author(s)
Bertolini, Daniele
Pietrulewicz, Piotr
Tackmann, Frank J
Waalewijn, Wouter J
Stewart, Iain W.
Tackmann, Frank J.
Waalewijn, Wouter J.
Kolodrubetz, Daniel Walter
Neill, Duff Austin
Stewart, Iain W
Date Issued
July 2017
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Bertolini, Daniele et al. “Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders.” Journal of High Energy Physics 2017.7 (2017): n. pag.
Version
Final published version
Abstract
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[subscript 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[superscript 2]), accurately capture the full behavior over a large range of R.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP07(2017)099
