Abstract
Following on our earlier work on leading-logarithmic (LL R ) resummations for the properties of jets with a small radius, R, we here examine the phenomenological considerations for the inclusive jet spectrum. We discuss how to match the NLO predictions with small-R resummation. As part of the study we propose a new, physically-inspired prescription for fixed-order predictions and their uncertainties. We investigate the R-dependent part of the next-to-next-to-leading order (NNLO) corrections, which is found to be substantial, and comment on the implications for scale choices in inclusive jet calculations. We also examine hadronisation corrections, identifying potential limitations of earlier analytical work with regards to their p t -dependence. Finally we assemble these different elements in order to compare matched (N)NLO+LLR predictions to data from ALICE and ATLAS, finding improved consistency for the R-dependence of the results relative to NLO predictions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
F. Aversa, L. Gonzales, M. Greco, P. Chiappetta and J.P. Guillet, Jet cone size dependence of inclusive cross-sections to O(α 3 s ), Z. Phys. C 49 (1991) 459 [INSPIRE].
F. Aversa, M. Greco, P. Chiappetta and J.P. Guillet, Jet inclusive production to O(α 3 s ): comparison with data, Phys. Rev. Lett. 65 (1990) 401 [INSPIRE].
J.P. Guillet, One jet O(α 3 s ) cross-section: mass dependence, Z. Phys. C 51 (1991) 587 [INSPIRE].
B. Jager, M. Stratmann and W. Vogelsang, Single inclusive jet production in polarized pp collisions at O(alpha 3 s ), Phys. Rev. D 70 (2004) 034010 [hep-ph/0404057] [INSPIRE].
A. Mukherjee and W. Vogelsang, Jet production in (un)polarized pp collisions: dependence on jet algorithm, Phys. Rev. D 86 (2012) 094009 [arXiv:1209.1785] [INSPIRE].
T. Kaufmann, A. Mukherjee and W. Vogelsang, Next-to-leading order calculation for jets defined by a maximized jet function, Phys. Rev. D 91 (2015) 034001 [arXiv:1412.0298] [INSPIRE].
M. Dasgupta, F. Dreyer, G.P. Salam and G. Soyez, Small-radius jets to all orders in QCD, JHEP 04 (2015) 039 [arXiv:1411.5182] [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].
T. Becher, M. Neubert, L. Rothen and D.Y. Shao, Effective field theory for jet processes, Phys. Rev. Lett. 116 (2016) 192001 [arXiv:1508.06645] [INSPIRE].
Y.-T. Chien, A. Hornig and C. Lee, Soft-collinear mode for jet cross sections in soft collinear effective theory, Phys. Rev. D 93 (2016) 014033 [arXiv:1509.04287] [INSPIRE].
A. Banfi et al., Jet-vetoed Higgs cross section in gluon fusion at N 3 LO+NNLL with small-R resummation, JHEP 04 (2016) 049 [arXiv:1511.02886] [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].
STAR collaboration, M. Ploskon, Inclusive cross section and correlations of fully reconstructed jets in \( \sqrt{s_{\mathrm{NN}}}=200 \) GeV Au+Au and p + p collisions, Nucl. Phys. A 830 (2009) 255C [arXiv:0908.1799] [INSPIRE].
S. Eckweiler, Measurement of the inclusive jet cross-section in proton-proton collisions at \( \sqrt{s}=7 \) TeV with the ATLAS detector, Ph.D.thesis, CERN-THESIS-2011-145, Mainz U., Mainz Germany (2011).
G. Soyez, A simple description of jet cross-section ratios, Phys. Lett. B 698 (2011) 59 [arXiv:1101.2665] [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].
J. Pires, Future prospects of α s from jets at the LHC at NNLO, talk at the Workshop on high-precision α s measurements: from LHC to FCC-ee, CERN, Geneva Switzerland October 2015.
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].
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].
G. Corcella et al., HERWIG 6: an event generator for hadron emission reactions with interfering gluons (including supersymmetric processes), JHEP 01 (2001) 010 [hep-ph/0011363] [INSPIRE].
G. Corcella et al., HERWIG 6.5 release note, hep-ph/0210213 [INSPIRE].
M. Bahr et al., HERWIG++ physics and manual, Eur. Phys. J. C 58 (2008) 639 [arXiv:0803.0883] [INSPIRE].
J. Bellm et al., HERWIG++ 2.7 release note, arXiv:1310.6877 [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 [Erratum ibid. 09 (2015) 141] [arXiv:1410.8857] [INSPIRE].
M. Dasgupta, F.A. Dreyer, G.P. Salam and G. Soyez, MicroJets webpage, http://microjets.hepforge.org.
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].
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].
S.D. Ellis and D.E. Soper, Successive combination jet algorithm for hadron collisions, Phys. Rev. D 48 (1993) 3160 [hep-ph/9305266] [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, in Monte Carlo generators for HERA physics, Hamburg Germany 1998/1999, pg. 270 [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].
M. Cacciari, G.P. Salam and G. Soyez, FastJet user manual, Eur. Phys. J. C 72 (2012) 1896 [arXiv:1111.6097] [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].
Z. Nagy, Next-to-leading order calculation of three jet observables in hadron hadron collision, Phys. Rev. D 68 (2003) 094002 [hep-ph/0307268] [INSPIRE].
H.-L. Lai et al., New parton distributions for collider physics, Phys. Rev. D 82 (2010) 074024 [arXiv:1007.2241] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, A. Huss and T.A. Morgan, NNLO QCD corrections for Z boson plus jet production, arXiv:1601.04569 [INSPIRE].
I.W. Stewart and F.J. Tackmann, Theory uncertainties for Higgs and other searches using jet bins, Phys. Rev. D 85 (2012) 034011 [arXiv:1107.2117] [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].
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].
S. Alioli, K. Hamilton, P. Nason, C. Oleari and E. Re, Jet pair production in POWHEG, JHEP 04 (2011) 081 [arXiv:1012.3380] [INSPIRE].
R. Corke and T. Sjöstrand, Interleaved parton showers and tuning prospects, JHEP 03 (2011) 032 [arXiv:1011.1759] [INSPIRE].
P.Z. Skands, Tuning Monte Carlo generators: the Perugia tunes, Phys. Rev. D 82 (2010) 074018 [arXiv:1005.3457] [INSPIRE].
ATLAS collaboration, New ATLAS event generator tunes to 2010 data, ATL-PHYS-PUB-2011-008, CERN, Geneva Switzerland (2011) [ATL-COM-PHYS-2011-329].
ATLAS collaboration, Measurement of inclusive jet and dijet production in pp collisions at \( \sqrt{s}=7 \) TeV using the ATLAS detector, Phys. Rev. D 86 (2012) 014022 [arXiv:1112.6297] [INSPIRE].
Y.L. Dokshitzer and B.R. Webber, Calculation of power corrections to hadronic event shapes, Phys. Lett. B 352 (1995) 451 [hep-ph/9504219] [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.H. Seymour, Jet shapes in hadron collisions: higher orders, resummation and hadronization, Nucl. Phys. B 513 (1998) 269 [hep-ph/9707338] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The catchment area of jets, JHEP 04 (2008) 005 [arXiv:0802.1188] [INSPIRE].
Y.L. Dokshitzer, G. Marchesini and B.R. Webber, Dispersive approach to power behaved contributions in QCD hard processes, Nucl. Phys. B 469 (1996) 93 [hep-ph/9512336] [INSPIRE].
P. Skands, S. Carrazza and J. Rojo, Tuning PYTHIA 8.1: the Monash 2013 tune, Eur. Phys. J. C 74 (2014) 3024 [arXiv:1404.5630] [INSPIRE].
R. Field, Early LHC underlying event data — findings and surprises, arXiv:1010.3558 [INSPIRE].
B. Cooper, J. Katzy, M.L. Mangano, A. Messina, L. Mijovic and P. Skands, Importance of a consistent choice of α s in the matching of ALPGEN and PYTHIA, Eur. Phys. J. C 72 (2012) 2078 [arXiv:1109.5295] [INSPIRE].
G.P. Salam and D. Wicke, Hadron masses and power corrections to event shapes, JHEP 05 (2001) 061 [hep-ph/0102343] [INSPIRE].
V. Mateu, I.W. Stewart and J. Thaler, Power corrections to event shapes with mass-dependent operators, Phys. Rev. D 87 (2013) 014025 [arXiv:1209.3781] [INSPIRE].
ATLAS collaboration, Study of jet shapes in inclusive jet production in pp collisions at \( \sqrt{s}=7 \) TeV using the ATLAS detector, Phys. Rev. D 83 (2011) 052003 [arXiv:1101.0070] [INSPIRE].
CMS collaboration, Shape, transverse size and charged hadron multiplicity of jets in pp collisions at 7 TeV, JHEP 06 (2012) 160 [arXiv:1204.3170] [INSPIRE].
G.P. Korchemsky and G.F. Sterman, Power corrections to event shapes and factorization, Nucl. Phys. B 555 (1999) 335 [hep-ph/9902341] [INSPIRE].
S. Gieseke, C. Rohr and A. Siodmok, Colour reconnections in HERWIG++, Eur. Phys. J. C 72 (2012) 2225 [arXiv:1206.0041] [INSPIRE].
J. Collins and J.-W. Qiu, k T factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions, Phys. Rev. D 75 (2007) 114014 [arXiv:0705.2141] [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 [Erratum ibid. D 87 (2013) 119902] [arXiv:1212.6660] [INSPIRE].
CMS collaboration, Measurement of the inclusive jet cross section in pp collisions at \( \sqrt{s}=2.76 \) TeV, Eur. Phys. J. C 76 (2016) 265 [arXiv:1512.06212] [INSPIRE].
J. Gao et al., CT10 next-to-next-to-leading order global analysis of QCD, Phys. Rev. D 89 (2014) 033009 [arXiv:1302.6246] [INSPIRE].
S. Dulat et al., New parton distribution functions from a global analysis of quantum chromodynamics, Phys. Rev. D 93 (2016) 033006 [arXiv:1506.07443] [INSPIRE].
A.D. Martin, W.J. Stirling, R.S. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].
L.A. Harland-Lang, A.D. Martin, P. Motylinski and R.S. Thorne, Parton distributions in the LHC era: MMHT 2014 PDFs, Eur. Phys. J. C 75 (2015) 204 [arXiv:1412.3989] [INSPIRE].
NNPDF collaboration, R.D. Ball et al., Parton distributions for the LHC run II, JHEP 04 (2015) 040 [arXiv:1410.8849] [INSPIRE].
S. Dittmaier, A. Huss and C. Speckner, Weak radiative corrections to dijet production at hadron colliders, JHEP 11 (2012) 095 [arXiv:1210.0438] [INSPIRE].
U. Baur, Weak boson emission in hadron collider processes, Phys. Rev. D 75 (2007) 013005 [hep-ph/0611241] [INSPIRE].
N. Méric, Etude théorique et expérimentale des corrections électrofaibles au processus de production inclusive de jets. Développement de méthodes de détection de topologies extrêmes (in French), Ph.D. thesis, CERN-THESIS-2013-358, https://tel.archives-ouvertes.fr/tel-00959427/, Diderot U., Paris France (2013).
ATLAS collaboration, HepData entry corresponding to ref. [27], http://hepdata.cedar.ac.uk/view/ins1325553.
S.D. Ellis, Z. Kunszt and D.E. Soper, Two jet production in hadron collisions at order α 3 s in QCD, Phys. Rev. Lett. 69 (1992) 1496 [INSPIRE].
K. Hamilton, P. Nason and G. Zanderighi, MINLO: multi-scale improved NLO, JHEP 10 (2012) 155 [arXiv:1206.3572] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1602.01110
On leave from CNRS, UMR 7589, LPTHE, F-75005, Paris, France (Gavin P. Salam).
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Dasgupta, M., Dreyer, F.A., Salam, G.P. et al. Inclusive jet spectrum for small-radius jets. J. High Energ. Phys. 2016, 57 (2016). https://doi.org/10.1007/JHEP06(2016)057
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2016)057