Abstract
We introduce a jet shape observable defined for an ensemble of jets in terms of two-particle angular correlations and a resolution parameter R. This quantity is infrared and collinear safe and can be interpreted as a scaling exponent for the angular distribution of mass inside the jet. For small R it is close to the value 2 as a consequence of the approximately scale invariant QCD dynamics. For large R it is sensitive to non-perturbative effects. We describe the use of this correlation function for tests of QCD, for studying underlying event and pile-up effects, and for tuning Monte Carlo event generators.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. Abdesselam et al., Boosted objects: a probe of beyond the standard model physics, Eur. Phys. J. C 71 (2011) 1661 [arXiv:1012.5412] [INSPIRE].
A. Altheimer et al., Jet Substructure at the Tevatron and LHC: New results, new tools, new benchmarks, arXiv:1201.0008 [INSPIRE].
L.G. Almeida, R. Alon and M. Spannowsky, Structure of fat jets at the Tevatron and beyond, arXiv:1110.3684 [INSPIRE].
M. Jankowiak and A.J. Larkoski, Jet substructure without trees, JHEP 06 (2011) 057 [arXiv:1104.1646] [INSPIRE].
G. Gustafson and A. Nilsson, Multifractal dimensions in QCD cascades, Z. Phys. C 52 (1991) 533 [INSPIRE].
J. Bjorken, A plumber’s view of perturbative QCD, Phys. Rev. D 45 (1992) 4077 [INSPIRE].
B. Andersson, P. Dahlkvist and G. Gustafson, An infrared stable multiplicity measure on QCD parton states, Phys. Lett. B 214 (1988) 604 [INSPIRE].
P. Grassberger and I. Procaccia, Characterization of strange attractors, Phys. Rev. Lett. 50 (1983) 346 [INSPIRE].
P. Grassberger and I. Procaccia, Measuring the strangeness of strange attractors, Physica D 9 (1983) 189.
F. Takens, Invariants related to dimension and entropy, in Atas do 13°, Colóqkio Brasiliero do Matematica, Rio de Janeiro, Brasil (1983).
J. Theiler, Estimating fractal dimension, J. Opt. Soc. Am. A 7 (1990) 1055.
S.D. Ellis, Z. Kunszt and D.E. Soper, Jets at hadron colliders at order \( \alpha_s^3 \) : a look inside, Phys. Rev. Lett. 69 (1992) 3615 [hep-ph/9208249] [INSPIRE].
M. Seymour, Jet shapes in hadron collisions: higher orders, resummation and hadronization, Nucl. Phys. B 513 (1998) 269 [hep-ph/9707338] [INSPIRE].
W. Giele, D. Kosower and P. Skands, Higher-order corrections to timelike jets, Phys. Rev. D 84 (2011) 054003 [arXiv:1102.2126] [INSPIRE].
J.R. Walsh and S. Zuberi, Factorization constraints on jet substructure, arXiv:1110.5333 [INSPIRE].
G.P. Salam, Towards jetography, Eur. Phys. J. C 67 (2010) 637 [arXiv:0906.1833] [INSPIRE].
M. Cacciari, G.P. Salam and S. Sapeta, On the characterisation of the underlying event, JHEP 04 (2010) 065 [arXiv:0912.4926] [INSPIRE].
CDF collaboration, T. Affolder et al., Charged jet evolution and the underlying event in \( p\overline p \) collisions at 1.8 TeV, Phys. Rev. D 65 (2002) 092002 [INSPIRE].
R. Field, Min-bias and the underlying event at the LHC, Acta Phys. Polon. B 42 (2011) 2631 [arXiv:1110.5530] [INSPIRE].
T. Sjöstrand and M. van Zijl, A multiple interaction model for the event structure in hadron collisions, Phys. Rev. D 36 (1987) 2019 [INSPIRE].
R.P. Feynman, Very high-energy collisions of hadrons, Phys. Rev. Lett. 23 (1969) 1415.
K.G. Wilson, Some experiments on multiple production, Cornell University preprint, U.S.A. (Nov. 1970).
M. Bahr et al., HERWIG++ physics and manual, Eur. Phys. J. C 58 (2008) 639 [arXiv:0803.0883] [INSPIRE].
M. Bahr, S. Gieseke and M.H. Seymour, Simulation of multiple partonic interactions in HERWIG++, JHEP 07 (2008) 076 [arXiv:0803.3633] [INSPIRE].
M. Bahr, J.M. Butterworth, S. Gieseke and M.H. Seymour, Soft interactions in HERWIG++, arXiv:0905.4671 [INSPIRE].
S. Gieseke et al., HERWIG++ 2.5 release note, arXiv:1102.1672 [INSPIRE].
Herwig++ project page, http://projects.hepforge.org/herwig/trac/wiki/MB UE tunes/.
T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 physics and manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, A brief introduction to PYTHIA 8.1, Comput. Phys. Commun. 178 (2008) 852 [arXiv:0710.3820] [INSPIRE].
R. Corke and T. Sjöstrand, Interleaved parton showers and tuning prospects, JHEP 03 (2011) 032 [arXiv:1011.1759] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, FastJet user manual, arXiv:1111.6097 [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The anti-k t jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
A. Buckley et al., General-purpose event generators for LHC physics, Phys. Rept. 504 (2011) 145 [arXiv:1101.2599] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1201.2688
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Jankowiak, M., Larkoski, A.J. Angular scaling in jets. J. High Energ. Phys. 2012, 39 (2012). https://doi.org/10.1007/JHEP04(2012)039
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2012)039