Jet maximization, axis minimization, and stable cone finding
Name
PhysRevD.92.074001.pdf
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130.8 KB
Format
Adobe PDF
Checksum (MD5)
0a794c1cd5ed801d20c49c740df4a4b7
Author(s)
Thaler, Jesse
Date Issued
October 2015
Journal
Physical Review D
Publisher
American Physical Society
Citation
Thaler, Jesse. "Jet maximization, axis minimization, and stable cone finding." Phys. Rev. D 92, 074001 (October 2015). © 2015 American Physical Society
Version
Final published version
Abstract
Jet finding is a type of optimization problem, where hadrons from a high-energy collision event are grouped into jets based on a clustering criterion. As three interesting examples, one can form a jet cluster that (i) optimizes the overall jet four-vector, (ii) optimizes the jet axis, or (iii) aligns the jet axis with the jet four-vector. In this paper, we show that these three approaches to jet finding, despite being philosophically quite different, can be regarded as descendants of a mother optimization problem. For the special case of finding a single cone jet of fixed opening angle, the three approaches are genuinely identical when defined appropriately, and the result is a stable cone jet with the largest value of a quantity J. This relationship is only approximate for cone jets in the rapidity-azimuth plane, as used at the Large Hadron Collider, though the differences are mild for small radius jets.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.92.074001
