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Jet shapes with the broadening axis

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Author(s)
Larkoski, Andrew
•
Neill, Duff Austin
•
Thaler, Jesse
Date Issued
April 2014
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag/International School for Advanced Studies (SISSA)
Citation
Larkoski, Andrew J., Duff Neill, and Jesse Thaler. “Jet Shapes with the Broadening Axis.” J. High Energ. Phys. 2014, no. 4 (April 2014).
Version
Final published version
Abstract
Broadening is a classic jet observable that probes the transverse momentum structure of jets. Traditionally, broadening has been measured with respect to the thrust axis, which is aligned along the (hemisphere) jet momentum to minimize the vector sum of transverse momentum within a jet. In this paper, we advocate measuring broadening with respect to the “broadening axis”, which is the direction that minimizes the scalar sum of transverse momentum within a jet. This approach eliminates many of the calculational complexities arising from recoil of the leading parton, and observables like the jet angularities become recoil-free when measured using the broadening axis. We derive a simple factorization theorem for broadening-axis observables which smoothly interpolates between the thrust-like and broadening-like regimes. We argue that the same factorization theorem holds for two-point energy correlation functions as well as for jet shapes based on a “winner-take-all axis”. Using kinked broadening axes, we calculate event-wide angularities in e + e − collisions with next-to-leading logarithmic resummation. Defining jet regions using the broadening axis, we also calculate the global logarithms for angularities within a single jet. We find good agreement comparing our calculations both to showering Monte Carlo programs and to automated resummation tools. We give a brief historical perspective on the broadening axis and suggest ways that broadening-axis observables could be used in future jet substructure studies at the Large Hadron Collider
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution
http://creativecommons.org/licenses/by/4.0/
Persistent DSpace Link
http://hdl.handle.net/1721.1/88596
DOI of Published Version
https://doi.org/10.1007/jhep04(2014)017
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