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Title: Soft functions for generic jet algorithms and observables at hadron colliders

Here, 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- kT , 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.
Authors:
 [1] ;  [2] ; ORCiD logo [3] ;  [4] ;  [2] ;  [4] ;  [5]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  5. Univ. of Amsterdam, Amsterdam (The Netherlands); Nikhef, Amsterdam (The Netherlands)
Publication Date:
Report Number(s):
LA-UR-17-23006
Journal ID: ISSN 1029-8479
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Laboratory Directed Research and Development (LDRD) Program
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics; Jets; NLO Computations
OSTI Identifier:
1398922

Bertolini, Daniele, Kolodrubetz, Daniel, Neill, Duff Austin, Pietrulewicz, Piotr, Stewart, Iain W., Tackmann, Frank J., and Waalewijn, Wouter J.. Soft functions for generic jet algorithms and observables at hadron colliders. United States: N. p., Web. doi:10.1007/JHEP07(2017)099.
Bertolini, Daniele, Kolodrubetz, Daniel, Neill, Duff Austin, Pietrulewicz, Piotr, Stewart, Iain W., Tackmann, Frank J., & Waalewijn, Wouter J.. Soft functions for generic jet algorithms and observables at hadron colliders. United States. doi:10.1007/JHEP07(2017)099.
Bertolini, Daniele, Kolodrubetz, Daniel, Neill, Duff Austin, Pietrulewicz, Piotr, Stewart, Iain W., Tackmann, Frank J., and Waalewijn, Wouter J.. 2017. "Soft functions for generic jet algorithms and observables at hadron colliders". United States. doi:10.1007/JHEP07(2017)099. https://www.osti.gov/servlets/purl/1398922.
@article{osti_1398922,
title = {Soft functions for generic jet algorithms and observables at hadron colliders},
author = {Bertolini, Daniele and Kolodrubetz, Daniel and Neill, Duff Austin and Pietrulewicz, Piotr and Stewart, Iain W. and Tackmann, Frank J. and Waalewijn, Wouter J.},
abstractNote = {Here, 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-kT , 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(R2), accurately capture the full behavior over a large range of R.},
doi = {10.1007/JHEP07(2017)099},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2017,
place = {United States},
year = {2017},
month = {7}
}