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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Format: | Article |
Language: | English |
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Springer Berlin Heidelberg
2017
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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. |
first_indexed | 2024-09-23T08:13:48Z |
format | Article |
id | mit-1721.1/110817 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T08:13:48Z |
publishDate | 2017 |
publisher | Springer Berlin Heidelberg |
record_format | dspace |
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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