Soft functions for generic jet algorithms and observables at hadron colliders

Bertolini, Daniele; Kolodrubetz, Daniel; Neill, Duff Austin; Pietrulewicz, Piotr; Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J.

doi:10.1007/JHEP07(2017)099

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

Journal Article · Thu Jul 20 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP07(2017)099· OSTI ID:1398922

Bertolini, Daniele ^[1]; Kolodrubetz, Daniel ^[2];

^[3]; Pietrulewicz, Piotr ^[4]; Stewart, Iain W. ^[2]; Tackmann, Frank J. ^[4]; Waalewijn, Wouter J. ^[5]

Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Univ. of Amsterdam, Amsterdam (The Netherlands); Nikhef, Amsterdam (The Netherlands)

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-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(R²), accurately capture the full behavior over a large range of R.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1398922

Report Number(s):: LA-UR-17-23006

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 7; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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