Soft functions for generic jet algorithms and observables at hadron colliders

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 decompo...

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Main Authors: 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
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2017
Online Access:http://hdl.handle.net/1721.1/110817
https://orcid.org/0000-0003-3030-4198
https://orcid.org/0000-0002-5290-8315
https://orcid.org/0000-0003-0248-0979
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author 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
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
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
author_sort Bertolini, Daniele
collection MIT
description 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.
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spelling mit-1721.1/1108172022-09-23T11:48:36Z Soft functions for generic jet algorithms and observables at hadron colliders 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 Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Kolodrubetz, Daniel Walter Neill, Duff Austin Stewart, Iain W 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. United States. Dept. of Energy. Office of Nuclear Physics (Grant DE-SC0011090) United States. Dept. of Energy. Office of Nuclear Physics (Grant DE-AC02-05CH11231) United States. Dept. of Energy. Office of Nuclear Physics (Grant DEAC52-06NA25396) Los Alamos National Laboratory. Laboratory Directed Research and Development Program Simons Foundation (Investigator Grant 327942) Massachusetts Institute of Technology (Global MISTI Collaboration Grant) 2017-07-24T13:42:34Z 2017-07-24T13:42:34Z 2017-07 2017-06 2017-07-22T04:14:10Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/110817 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. https://orcid.org/0000-0003-3030-4198 https://orcid.org/0000-0002-5290-8315 https://orcid.org/0000-0003-0248-0979 en http://dx.doi.org/10.1007/JHEP07(2017)099 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg
spellingShingle 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
Soft functions for generic jet algorithms and observables at hadron colliders
title Soft functions for generic jet algorithms and observables at hadron colliders
title_full Soft functions for generic jet algorithms and observables at hadron colliders
title_fullStr Soft functions for generic jet algorithms and observables at hadron colliders
title_full_unstemmed Soft functions for generic jet algorithms and observables at hadron colliders
title_short Soft functions for generic jet algorithms and observables at hadron colliders
title_sort soft functions for generic jet algorithms and observables at hadron colliders
url http://hdl.handle.net/1721.1/110817
https://orcid.org/0000-0003-3030-4198
https://orcid.org/0000-0002-5290-8315
https://orcid.org/0000-0003-0248-0979
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