Abstract
We perform a phenomenological study of the invariant mass distribution of hadronic jets produced in proton-proton collisions, in conjunction with a grooming algorithm. In particular, we consider the modified MassDrop Tagger (mMDT), which corresponds to Soft Drop with angular exponent β = 0. Our calculation, which is differential in both jet mass and jet transverse momentum, resums large logarithms of the jet mass, including the full dependence on the groomer’s energy threshold z cut, and it is matched to fixed-order QCD matrix elements at next-to-leading order. In order to account for non-perturbative contributions, originating from the hadronisation process and from the underlying event, we also include a phenomenological correction factor derived from Monte Carlo parton shower simulations. Furthermore, we consider two different possibilities for the jet transverse momentum: before or after grooming. We show that the former should be preferred for comparisons with upcoming experimental data essentially because the mMDT transverse momentum spectrum is not collinear safe, though the latter exhibits less sensitivity to underlying event and displays properties that may provide complementary information for probing non-perturbative effects.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M.H. Seymour, Searches for new particles using cone and cluster jet algorithms: A Comparative study, Z. Phys. C 62 (1994) 127 [INSPIRE].
J.M. Butterworth, B.E. Cox and J.R. Forshaw, W W scattering at the CERN LHC, Phys. Rev. D 65 (2002) 096014 [hep-ph/0201098] [INSPIRE].
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, J. Phys. G 39 (2012) 063001 [arXiv:1201.0008] [INSPIRE].
A. Altheimer 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].
D. Adams et al., Towards an Understanding of the Correlations in Jet Substructure, Eur. Phys. J. C 75 (2015) 409 [arXiv:1504.00679] [INSPIRE].
ATLAS collaboration, Search for resonances with boson-tagged jets in 15.5 fb −1 of pp collisions at \( \sqrt{s}=13 \) TeV collected with the ATLAS detector, ATLAS-CONF-2016-055 (2016).
ATLAS collaboration, Search for high-mass diboson resonances with boson-tagged jets in proton-proton collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 12 (2015) 055 [arXiv:1506.00962] [INSPIRE].
CMS collaboration, Search for massive resonances in dijet systems containing jets tagged as W or Z boson decays in pp collisions at \( \sqrt{s} \) = 8 TeV, JHEP 08 (2014) 173 [arXiv:1405.1994] [INSPIRE].
C.F. Berger, T. Kucs and G.F. Sterman, Event shape/energy flow correlations, Phys. Rev. D 68 (2003) 014012 [hep-ph/0303051] [INSPIRE].
S.D. Ellis, C.K. Vermilion, J.R. Walsh, A. Hornig and C. Lee, Jet Shapes and Jet Algorithms in SCET, JHEP 11 (2010) 101 [arXiv:1001.0014] [INSPIRE].
A.J. Larkoski, G.P. Salam and J. Thaler, Energy Correlation Functions for Jet Substructure, JHEP 06 (2013) 108 [arXiv:1305.0007] [INSPIRE].
I. Moult, L. Necib and J. Thaler, New Angles on Energy Correlation Functions, JHEP 12 (2016) 153 [arXiv:1609.07483] [INSPIRE].
M.H. Seymour, Jet shapes in hadron collisions: Higher orders, resummation and hadronization, Nucl. Phys. B 513 (1998) 269 [hep-ph/9707338] [INSPIRE].
J. Thaler and K. Van Tilburg, Identifying Boosted Objects with N-subjettiness, JHEP 03 (2011) 015 [arXiv:1011.2268] [INSPIRE].
J. Thaler and K. Van Tilburg, Maximizing Boosted Top Identification by Minimizing N-subjettiness, JHEP 02 (2012) 093 [arXiv:1108.2701] [INSPIRE].
G.P. Salam, L. Schunk and G. Soyez, Dichroic subjettiness ratios to distinguish colour flows in boosted boson tagging, JHEP 03 (2017) 022 [arXiv:1612.03917] [INSPIRE].
M. Dasgupta, A. Powling, L. Schunk and G. Soyez, Improved jet substructure methods: Y-splitter and variants with grooming, JHEP 12 (2016) 079 [arXiv:1609.07149] [INSPIRE].
A.J. Larkoski, I. Moult and D. Neill, Analytic Boosted Boson Discrimination, JHEP 05 (2016) 117 [arXiv:1507.03018] [INSPIRE].
A.J. Larkoski, I. Moult and D. Neill, Power Counting to Better Jet Observables, JHEP 12 (2014) 009 [arXiv:1409.6298] [INSPIRE].
A.J. Larkoski, I. Moult and D. Neill, Building a Better Boosted Top Tagger, Phys. Rev. D 91 (2015) 034035 [arXiv:1411.0665] [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].
S.D. Ellis, C.K. Vermilion and J.R. Walsh, Techniques for improved heavy particle searches with jet substructure, Phys. Rev. D 80 (2009) 051501 [arXiv:0903.5081] [INSPIRE].
S.D. Ellis, C.K. Vermilion and J.R. Walsh, Recombination Algorithms and Jet Substructure: Pruning as a Tool for Heavy Particle Searches, Phys. Rev. D 81 (2010) 094023 [arXiv:0912.0033] [INSPIRE].
A.J. Larkoski, S. Marzani, G. Soyez and J. Thaler, Soft Drop, JHEP 05 (2014) 146 [arXiv:1402.2657] [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. Dasgupta, A. Fregoso, S. Marzani and A. Powling, Jet substructure with analytical methods, Eur. Phys. J. C 73 (2013) 2623 [arXiv:1307.0013] [INSPIRE].
ATLAS collaboration, Jet mass and substructure of inclusive jets in \( \sqrt{s}=7 \) TeV pp collisions with the ATLAS experiment, JHEP 05 (2012) 128 [arXiv:1203.4606] [INSPIRE].
CMS collaboration, Studies of jet mass in dijet and W/Z + jet events, JHEP 05 (2013) 090 [arXiv:1303.4811] [INSPIRE].
A.J. Larkoski, S. Marzani and J. Thaler, Sudakov Safety in Perturbative QCD, Phys. Rev. D 91 (2015) 111501 [arXiv:1502.01719] [INSPIRE].
C. Frye, A.J. Larkoski, M.D. Schwartz and K. Yan, Precision physics with pile-up insensitive observables, arXiv:1603.06375 [INSPIRE].
C. Frye, A.J. Larkoski, M.D. Schwartz and K. Yan, Factorization for groomed jet substructure beyond the next-to-leading logarithm, JHEP 07 (2016) 064 [arXiv:1603.09338] [INSPIRE].
S. Rappoccio, private communications (2017).
A.J. Larkoski and J. Thaler, Unsafe but Calculable: Ratios of Angularities in Perturbative QCD, JHEP 09 (2013) 137 [arXiv:1307.1699] [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. Dasgupta and G.P. Salam, Resummation of nonglobal QCD observables, Phys. Lett. B 512 (2001) 323 [hep-ph/0104277] [INSPIRE].
M. Dasgupta and G.P. Salam, Accounting for coherence in interjet E(t) flow: A Case study, JHEP 03 (2002) 017 [hep-ph/0203009] [INSPIRE].
A. Banfi, G. Marchesini and G. Smye, Away from jet energy flow, JHEP 08 (2002) 006 [hep-ph/0206076] [INSPIRE].
J.R. Forshaw, A. Kyrieleis and M.H. Seymour, Super-leading logarithms in non-global observables in QCD, JHEP 08 (2006) 059 [hep-ph/0604094] [INSPIRE].
J.R. Forshaw, A. Kyrieleis and M.H. Seymour, Super-leading logarithms in non-global observables in QCD: Colour basis independent calculation, JHEP 09 (2008) 128 [arXiv:0808.1269] [INSPIRE].
R.M. Duran Delgado, J.R. Forshaw, S. Marzani and M.H. Seymour, The dijet cross section with a jet veto, JHEP 08 (2011) 157 [arXiv:1107.2084] [INSPIRE].
H. Weigert, Nonglobal jet evolution at finite N(c), Nucl. Phys. B 685 (2004) 321 [hep-ph/0312050] [INSPIRE].
Y. Hatta and T. Ueda, Resummation of non-global logarithms at finite N c , Nucl. Phys. B 874 (2013) 808 [arXiv:1304.6930] [INSPIRE].
M.D. Schwartz and H.X. Zhu, Nonglobal logarithms at three loops, four loops, five loops and beyond, Phys. Rev. D 90 (2014) 065004 [arXiv:1403.4949] [INSPIRE].
A.J. Larkoski, I. Moult and D. Neill, Non-Global Logarithms, Factorization and the Soft Substructure of Jets, JHEP 09 (2015) 143 [arXiv:1501.04596] [INSPIRE].
A.J. Larkoski, I. Moult and D. Neill, The Analytic Structure of Non-Global Logarithms: Convergence of the Dressed Gluon Expansion, JHEP 11 (2016) 089 [arXiv:1609.04011] [INSPIRE].
D. Neill, The Asymptotic Form of Non-Global Logarithms, Black Disc Saturation and Gluonic Deserts, JHEP 01 (2017) 109 [arXiv:1610.02031] [INSPIRE].
S. Caron-Huot, Resummation of non-global logarithms and the BFKL equation, arXiv:1501.03754 [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].
T. Becher, M. Neubert, L. Rothen and D.Y. Shao, Factorization and Resummation for Jet Processes, JHEP 11 (2016) 019 [Erratum ibid. 05 (2017) 154] [arXiv:1605.02737] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The Anti-k(t) jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
M. Dasgupta, K. Khelifa-Kerfa, S. Marzani and M. Spannowsky, On jet mass distributions in Z+jet and dijet processes at the LHC, JHEP 10 (2012) 126 [arXiv:1207.1640] [INSPIRE].
T.T. Jouttenus, I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, Jet mass spectra in Higgs boson plus one jet at next-to-next-to-leading logarithmic order, Phys. Rev. D 88 (2013) 054031 [arXiv:1302.0846] [INSPIRE].
Y.-T. Chien, R. Kelley, M.D. Schwartz and H.X. Zhu, Resummation of Jet Mass at Hadron Colliders, Phys. Rev. D 87 (2013) 014010 [arXiv:1208.0010] [INSPIRE].
M. Cacciari, S. Frixione, M.L. Mangano, P. Nason and G. Ridolfi, The \( t\overline{t} \) cross-section at 1.8 TeV and 1.96 TeV: a study of the systematics due to parton densities and scale dependence, JHEP 04 (2004) 068 [hep-ph/0303085] [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].
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].
S. Dulat, T.-J. Hou, J. Gao, M. Guzzi, J. Huston, P. Nadolsky et al., New parton distribution functions from a global analysis of quantum chromodynamics, Phys. Rev. D 93 (2016) 033006 [arXiv:1506.07443] [INSPIRE].
M. Cacciari and G.P. Salam, Dispelling the N 3 myth for the k t jet-finder, Phys. Lett. B 641 (2006) 57 [hep-ph/0512210] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, FastJet User Manual, Eur. Phys. J. C 72 (2012) 1896 [arXiv:1111.6097] [INSPIRE].
Fastjet contrib, http://fastjet.hepforge.org/contrib/.
S. Catani, L. Trentadue, G. Turnock and B.R. Webber, Resummation of large logarithms in e + e − event shape distributions, Nucl. Phys. B 407 (1993) 3 [INSPIRE].
S. Catani and M.H. Seymour, The Dipole formalism for the calculation of QCD jet cross-sections at next-to-leading order, Phys. Lett. B 378 (1996) 287 [hep-ph/9602277] [INSPIRE].
ATLAS collaboration, New ATLAS event generator tunes to 2010 data, ATL-PHYS-PUB-2011-008 (2011).
G. Corcella, I.G. Knowles, G. Marchesini, S. Moretti, K. Odagiri, P. Richardson 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, I.G. Knowles, G. Marchesini, S. Moretti, K. Odagiri, P. Richardson et al., HERWIG 6.5 release note, hep-ph/0210213 [INSPIRE].
R. Field, Early LHC underlying event data — findings and surprises, in Hadron collider physics, proceedings of the 22nd Conference, HCP 2010, Toronto, Canada, 23-27 August 2010 [arXiv:1010.3558] [INSPIRE].
P.Z. Skands, Tuning Monte Carlo Generators: The Perugia Tunes, Phys. Rev. D 82 (2010) 074018 [arXiv:1005.3457] [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].
T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 Physics and Manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].
R. Corke and T. Sjöstrand, Interleaved Parton Showers and Tuning Prospects, JHEP 03 (2011) 032 [arXiv:1011.1759] [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].
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].
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].
R.K. Ellis, W.J. Stirling and B. Webber, QCD and collider physics, Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology (Book 8), Cambridge University Press (1996), pp. 1-435.
Y.L. Dokshitzer, V.A. Khoze, A.H. Mueller and S.I. Troian, Basics of perturbative QCD, Editions Frontieres (1991).
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].
M. Dasgupta, F.A. Dreyer, G.P. Salam and G. Soyez, Inclusive jet spectrum for small-radius jets, JHEP 06 (2016) 057 [arXiv:1602.01110] [INSPIRE].
J.R. Andersen et al., Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report, in 9th Les Houches Workshop on Physics at TeV Colliders (PhysTeV 2015), Les Houches, France, 1-19 June 2015 [arXiv:1605.04692] [INSPIRE].
P. Gras et al., Systematics of quark/gluon tagging, in preparation.
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: 1704.02210
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
Marzani, S., Schunk, L. & Soyez, G. A study of jet mass distributions with grooming. J. High Energ. Phys. 2017, 132 (2017). https://doi.org/10.1007/JHEP07(2017)132
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2017)132