Abstract
As hadron collider physics continues to push the boundaries of precision, it becomes increasingly important to have methods for predicting properties of jets across a broad range of jet radius values R, and in particular for small R. In this paper we resum all leading logarithmic terms, α n s lnnR2, in the limit of small R, for a wide variety of observables. These include the inclusive jet spectrum, jet vetoes for Higgs physics and jet substructure tools. Some of the quantities that we consider are relevant also for heavy-ion collisions. Furthermore, we examine and comment on the underlying order-by-order convergence of the perturbative series for different R values. Our results indicate that small-R effects can be substantial. Phenomenological studies will appear in a forthcoming companion paper.
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References
G.F. Sterman and S. Weinberg, Jets from Quantum Chromodynamics, Phys. Rev. Lett. 39 (1977) 1436 [INSPIRE].
S. Catani, Y.L. Dokshitzer, M.H. Seymour and B.R. Webber, Longitudinally invariant K t clustering algorithms for hadron hadron collisions, Nucl. Phys. B 406 (1993) 187 [INSPIRE].
ATLAS collaboration, Jet energy measurement and its systematic uncertainty in proton-proton collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS detector, Eur. Phys. J. C 75 (2015) 17 [arXiv:1406.0076] [INSPIRE].
CMS collaboration, Determination of Jet Energy Calibration and Transverse Momentum Resolution in CMS, 2011 JINST 6 P11002 [arXiv:1107.4277] [INSPIRE].
STAR collaboration, M. Ploskon, Inclusive cross section and correlations of fully reconstructed jets in \( \sqrt{s_{N\ N}} \) = 200-GEV Au+Au and p+p collisions, Nucl. Phys. A 830 (2009) 255C [arXiv:0908.1799] [INSPIRE].
PHENIX collaboration, Y.-S. Lai, Direct jet reconstruction in p + p and Cu + Cu at PHENIX, arXiv:0911.3399 [INSPIRE].
ALICE collaboration, Measurement of charged jet suppression in Pb-Pb collisions at \( \sqrt{s_{N\ N}} \) = 2.76 TeV, JHEP 03 (2014) 013 [arXiv:1311.0633] [INSPIRE].
ATLAS collaboration, Measurement of inclusive jet charged-particle fragmentation functions in Pb+Pb collisions at \( \sqrt{s_{N\ N}} \) = 2.76 TeV with the ATLAS detector, Phys. Lett. B 739 (2014) 320 [arXiv:1406.2979] [INSPIRE].
CMS collaboration, Measurement of jet fragmentation in PbPb and pp collisions at \( \sqrt{s_{N\ N}} \) = 2.76 TeV, Phys. Rev. C 90 (2014) 024908 [arXiv:1406.0932] [INSPIRE].
ALICE collaboration, Measurement of the inclusive differential jet cross section in pp collisions at \( \sqrt{s} \) = 2.76 TeV, Phys. Lett. B 722 (2013) 262 [arXiv:1301.3475] [INSPIRE].
CMS collaboration, Measurement of the ratio of inclusive jet cross sections using the anti-k T algorithm with radius parameters R=0.5 and 0.7 in pp collisions at \( \sqrt{s} \) = 7 TeV, Phys. Rev. D 90 (2014) 072006 [arXiv:1406.0324] [INSPIRE].
S. Eckweiler, Measurement of the inclusive jet cross-section in proton-proton collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS detector, CERN-THESIS-2011-145.
G. Soyez, A Simple description of jet cross-section ratios, Phys. Lett. B 698 (2011) 59 [arXiv:1101.2665] [INSPIRE].
J.M. Butterworth, A.R. Davison, M. Rubin and G.P. Salam, Jet substructure as a new Higgs search channel at the LHC, Phys. Rev. Lett. 100 (2008) 242001 [arXiv:0802.2470] [INSPIRE].
D. Krohn, J. Thaler and L.-T. Wang, Jet Trimming, JHEP 02 (2010) 084 [arXiv:0912.1342] [INSPIRE].
B. Nachman, P. Nef, A. Schwartzman, M. Swiatlowski and C. Wanotayaroj, Jets from Jets: Re-clustering as a tool for large radius jet reconstruction and grooming at the LHC, JHEP 02 (2015) 075 [arXiv:1407.2922] [INSPIRE].
A. Abdesselam, E.B. Kuutmann, U. Bitenc, G. Brooijmans, J. Butterworth 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, S. Arora, L. Asquith, G. Brooijmans, J. Butterworth et al., Jet Substructure at the Tevatron and LHC: New results, new tools, new benchmarks, J. Phys. G 39 (2012) 063001 [arXiv:1201.0008] [INSPIRE].
A. Altheimer, A. Arce, L. Asquith, J. Backus Mayes, E. Bergeaas Kuutmann et al., Boosted objects and jet substructure at the LHC. Report of BOOST2012, held at IFIC Valencia, 23rd-27th of July 2012, Eur. Phys. J. C 74 (2014) 2792 [arXiv:1311.2708] [INSPIRE].
T. Plehn and M. Spannowsky, Top Tagging, J. Phys. G 39 (2012) 083001 [arXiv:1112.4441] [INSPIRE].
F.J. Tackmann, J.R. Walsh and S. Zuberi, Resummation Properties of Jet Vetoes at the LHC, Phys. Rev. D 86 (2012) 053011 [arXiv:1206.4312] [INSPIRE].
M.H. Seymour, Jet shapes in hadron collisions: Higher orders, resummation and hadronization, Nucl. Phys. B 513 (1998) 269 [hep-ph/9707338] [INSPIRE].
E. Gerwick, S. Schumann, B. Gripaios and B. Webber, QCD Jet Rates with the Inclusive Generalized kt Algorithms, JHEP 04 (2013) 089 [arXiv:1212.5235] [INSPIRE].
S. Catani, M. Fontannaz, J.P. Guillet and E. Pilon, Isolating Prompt Photons with Narrow Cones, JHEP 09 (2013) 007 [arXiv:1306.6498] [INSPIRE].
S. Alioli and J.R. Walsh, Jet Veto Clustering Logarithms Beyond Leading Order, JHEP 03 (2014) 119 [arXiv:1311.5234] [INSPIRE].
A. von Manteuffel, R.M. Schabinger and H.X. Zhu, The Complete Two-Loop Integrated Jet Thrust Distribution In Soft-Collinear Effective Theory, JHEP 03 (2014) 139 [arXiv:1309.3560] [INSPIRE].
S. Catani, Y.L. Dokshitzer, M. Olsson, G. Turnock and B.R. Webber, New clustering algorithm for multi - jet cross-sections in e + e − annihilation, Phys. Lett. B 269 (1991) 432 [INSPIRE].
Y.L. Dokshitzer, G.D. Leder, S. Moretti and B.R. Webber, Better jet clustering algorithms, JHEP 08 (1997) 001 [hep-ph/9707323] [INSPIRE].
M. Wobisch and T. Wengler, Hadronization corrections to jet cross-sections in deep inelastic scattering, hep-ph/9907280 [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The Anti-k(t) jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
G.P. Salam and G. Soyez, A Practical Seedless Infrared-Safe Cone jet algorithm, JHEP 05 (2007) 086 [arXiv:0704.0292] [INSPIRE].
Y.L. Dokshitzer, V.A. Khoze, A.H. Mueller and S.I. Troian, Basics of perturbative QCD, Gif-sur-Yvette, France: Ed. Frontieres, 1991, pg. 274.
R.K. Ellis, W.J. Stirling and B.R. Webber, QCD and collider physics, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 8 (1996) 1 [INSPIRE].
H1 collaboration, A. Aktas et al., Measurement of inclusive jet production in deep-inelastic scattering at high Q 2 and determination of the strong coupling, Phys. Lett. B 653 (2007) 134 [arXiv:0706.3722] [INSPIRE].
ZEUS collaboration, H. Abramowicz et al., Inclusive-jet cross sections in NC DIS at HERA and a comparison of the kT, anti-kT and SIScone jet algorithms, Phys. Lett. B 691 (2010) 127 [arXiv:1003.2923] [INSPIRE].
CDF collaboration, T. Aaltonen et al., Measurement of the Inclusive Jet Cross Section at the Fermilab Tevatron pp Collider Using a Cone-Based Jet Algorithm, Phys. Rev. D 78 (2008) 052006 [Erratum ibid. D 79 (2009) 119902] [arXiv:0807.2204] [INSPIRE].
D0 collaboration, V.M. Abazov et al., Measurement of the inclusive jet cross section in \( p\overline{p} \) collisions at \( \sqrt{s} \) = 1.96 TeV, Phys. Rev. D 85 (2012) 052006 [arXiv:1110.3771] [INSPIRE].
ATLAS collaboration, Measurement of the inclusive jet cross-section in proton-proton collisions at \( \sqrt{s} \) = 7 TeV using 4.5 fb −1 of data with the ATLAS detector, JHEP 02 (2015) 153 [arXiv:1410.8857] [INSPIRE].
CMS collaboration, Measurements of differential jet cross sections in proton-proton collisions at \( \sqrt{s} \) = 7 TeV with the CMS detector, Phys. Rev. D 87 (2013) 112002 [arXiv:1212.6660] [INSPIRE].
J. Currie, A. Gehrmann-De Ridder, E.W.N. Glover and J. Pires, NNLO QCD corrections to jet production at hadron colliders from gluon scattering, JHEP 01 (2014) 110 [arXiv:1310.3993] [INSPIRE].
R. Boughezal, F. Caola, K. Melnikov, F. Petriello and M. Schulze, Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, JHEP 06 (2013) 072 [arXiv:1302.6216] [INSPIRE].
D. de Florian, P. Hinderer, A. Mukherjee, F. Ringer and W. Vogelsang, Approximate next-to-next-to-leading order corrections to hadronic jet production, Phys. Rev. Lett. 112 (2014) 082001 [arXiv:1310.7192] [INSPIRE].
M. Botje, QCDNUM: Fast QCD Evolution and Convolution, Comput. Phys. Commun. 182 (2011) 490 [arXiv:1005.1481] [INSPIRE].
A. Vogt, Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS, Comput. Phys. Commun. 170 (2005) 65 [hep-ph/0408244] [INSPIRE].
G.P. Salam and J. Rojo, A Higher Order Perturbative Parton Evolution Toolkit (HOPPET), Comput. Phys. Commun. 180 (2009) 120 [arXiv:0804.3755] [INSPIRE].
V. Bertone, S. Carrazza and J. Rojo, APFEL: A PDF Evolution Library with QED corrections, Comput. Phys. Commun. 185 (2014) 1647 [arXiv:1310.1394] [INSPIRE].
M. Cacciari, M. Dasgupta, F. Dreyer, G.P. Salam and G. Soyez, in preparation.
ATLAS collaboration, Measurement of the correlation of jets with high p T isolated prompt photons in lead-lead collisions at sqrts NN = 2.76 TeV with the ATLAS detector at the LHC, ATLAS-CONF-2012-121.
CMS collaboration, Studies of jet quenching using isolated-photon+jet correlations in PbPb and pp collisions at \( \sqrt{s_{NN}} \) = 2.76 TeV, Phys. Lett. B 718 (2013) 773 [arXiv:1205.0206] [INSPIRE].
A. Banfi, G.P. Salam and G. Zanderighi, NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production, JHEP 06 (2012) 159 [arXiv:1203.5773] [INSPIRE].
A. Banfi, P.F. Monni, G.P. Salam and G. Zanderighi, Higgs and Z-boson production with a jet veto, Phys. Rev. Lett. 109 (2012) 202001 [arXiv:1206.4998] [INSPIRE].
T. Becher and M. Neubert, Factorization and NNLL Resummation for Higgs Production with a Jet Veto, JHEP 07 (2012) 108 [arXiv:1205.3806] [INSPIRE].
T. Becher, M. Neubert and L. Rothen, Factorization and N 3 LL p +NNLO predictions for the Higgs cross section with a jet veto, JHEP 10 (2013) 125 [arXiv:1307.0025] [INSPIRE].
I.W. Stewart, F.J. Tackmann, J.R. Walsh and S. Zuberi, Jet p T resummation in Higgs production at NNLL ′+NNLO, Phys. Rev. D 89 (2014) 054001 [arXiv:1307.1808] [INSPIRE].
A. Banfi, P.F. Monni and G. Zanderighi, Quark masses in Higgs production with a jet veto, JHEP 01 (2014) 097 [arXiv:1308.4634] [INSPIRE].
S. Catani and M.H. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [Erratum ibid. B 510 (1998) 503] [hep-ph/9605323] [INSPIRE].
A. Banfi, G.P. Salam and G. Zanderighi, Infrared safe definition of jet flavor, Eur. Phys. J. C 47 (2006) 113 [hep-ph/0601139] [INSPIRE].
J. Gallicchio and M.D. Schwartz, Quark and Gluon Tagging at the LHC, Phys. Rev. Lett. 107 (2011) 172001 [arXiv:1106.3076] [INSPIRE].
J. Gallicchio and M.D. Schwartz, Quark and Gluon Jet Substructure, JHEP 04 (2013) 090 [arXiv:1211.7038] [INSPIRE].
A.J. Larkoski, G.P. Salam and J. Thaler, Energy Correlation Functions for Jet Substructure, JHEP 06 (2013) 108 [arXiv:1305.0007] [INSPIRE].
A.J. Larkoski, J. Thaler and W.J. Waalewijn, Gaining (Mutual) Information about Quark/Gluon Discrimination, JHEP 11 (2014) 129 [arXiv:1408.3122] [INSPIRE].
ATLAS collaboration, Light-quark and gluon jet discrimination in pp collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS detector, Eur. Phys. J. C 74 (2014) 3023 [arXiv:1405.6583] [INSPIRE].
CMS Collaboration, Performance of quark/gluon discrimination in 8 TeV pp data, CMS-PAS-JME-13-002.
M. Dasgupta and G.P. Salam, Resummation of nonglobal QCD observables, Phys. Lett. B 512 (2001) 323 [hep-ph/0104277] [INSPIRE].
Y. Delenda, R. Appleby, M. Dasgupta and A. Banfi, On QCD resummation with k(t) clustering, JHEP 12 (2006) 044 [hep-ph/0610242] [INSPIRE].
G.P. Korchemsky and G.F. Sterman, Nonperturbative corrections in resummed cross-sections, Nucl. Phys. B 437 (1995) 415 [hep-ph/9411211] [INSPIRE].
M. Dasgupta, L. Magnea and G.P. Salam, Non-perturbative QCD effects in jets at hadron colliders, JHEP 02 (2008) 055 [arXiv:0712.3014] [INSPIRE].
M. Dasgupta, A. Fregoso, S. Marzani and G.P. Salam, Towards an understanding of jet substructure, JHEP 09 (2013) 029 [arXiv:1307.0007] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, FastJet User Manual, Eur. Phys. J. C 72 (2012) 1896 [arXiv:1111.6097] [INSPIRE].
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ArXiv ePrint: 1411.5182
On leave from CNRS, UMR 7589, LPTHE, F-75005, Paris, France (Gavin P. Salam)
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Dasgupta, M., Dreyer, F., Salam, G.P. et al. Small-radius jets to all orders in QCD. J. High Energ. Phys. 2015, 39 (2015). https://doi.org/10.1007/JHEP04(2015)039
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DOI: https://doi.org/10.1007/JHEP04(2015)039