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CMS-HIN-16-006 ; CERN-EP-2017-205
Measurement of the splitting function in pp and PbPb collisions at ${\sqrt{\smash [b]{s_{_{\mathrm{NN}}}}}} = $ 5.02 TeV
Phys. Rev. Lett. 120 (2018) 142302
Abstract: Data from heavy ion collisions suggest that the evolution of a parton shower is modified by interactions with the color charges in the dense partonic medium created in these collisions. However, the stage in the shower evolution at which the modifications occur is not known. By removing the soft wide-angle radiation inside a jet, the two leading partons can be resolved as subjets. The momentum ratio of these subjets provides information about the corresponding partons at an early stage of the shower. This substructure observable, known as the splitting function, relates to the process of a parton splitting into two other partons. The measurement is performed for jets with transverse momentum larger than 140 GeV and smaller than 500 GeV, using pp and PbPb collision samples collected by the CMS detector at a center-of-mass energy of 5.02 GeV per nucleon pair. In central PbPb collisions, the splitting function is observed to be modified toward a more unbalanced momentum ratio compared to peripheral PbPb and pp collisions. The measurements are compared to the predictions from event generators and analytical calculations using various models for the medium modification of the jet evolution.
Figures Summary References CMS Publications
Figures

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Figure 1:
Groomed jet energy fraction in pp and the 10% most central PbPb collisions for jets with 160 $ < {p_{\mathrm {T,jet}}} < $ 180 GeV and $ | \eta _{\text {jet}} | < $ 1.3. The pp data is compared to the PYTHIA 6 event generator and the PbPb data to PYTHIA 6 embedded into the HYDJET event generator.

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Figure 2:
Splitting function distribution in pp collisions for 160 $ < p_{\mathrm {T,jet}} < $ 180 GeV compared to predictions from event generators. The shaded area indicates the systematic uncertainty while the vertical lines represent the statistical uncertainty.

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Figure 3:
Splitting function distribution in PbPb collisions for 160 $ < p_{\mathrm {T,jet}} < $ 180 GeV in several centrality ranges compared to pp data smeared to account for the difference in resolution between pp and PbPb collisions for each centrality selection. The shaded area indicates the systematic uncertainty while the vertical lines represent the statistical uncertainty.

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Figure 4:
Ratio of splitting function distributions in PbPb and smeared pp collisions in the 10% most central events for several ${p_{\mathrm {T,jet}}} $ ranges compared to various jet quenching theoretical calculations. The shaded area indicates the systematic uncertainty while the vertical lines represent the statistical uncertainty. The diagonally hatched band denotes the uncertainty from the treatment of the medium response utilizing the JEWEL event generator.
Summary
In summary, the first measurement of the splitting function in pp and PbPb collisions at a center-of-mass energy of 5.02 TeV per nucleon pair has been presented. This represents the first application of a grooming technique to PbPb data, allowing for the removal of soft wide-angle radiation from the jet and thereby isolating the two leading subjets. The momentum sharing between these subjets is used to obtain information about hard parton splitting in the early stages of the shower in pp and PbPb collisions. Both the PYTHIA and HERWIG++ event generators agree with the measured splitting function in pp collisions at the level of 15%. This agreement is also observed in peripheral PbPb collisions. In central PbPb collisions, a steeper distribution of $ z_{\mathrm{g}} $ is observed, indicating that the splitting process of a parton is modified when traversing the hot medium created in heavy ion collisions. These results provide new insight into the role of color coherence and other attributes of the early interactions of partons in the quark-gluon plasma.
References
1 M. Gyulassy and M. Plumer Jet quenching in dense matter PLB 243 (1990) 432
2 R. Baier, Y. L. Dokshitzer, S. Peigne, and D. Schiff Induced gluon radiation in a QCD medium PLB 345 (1995) 277 hep-ph/9411409
3 PHENIX Collaboration Suppression of hadrons with large transverse momentum in central Au+Au collisions at $ \sqrt{s_{\mathrm{NN}}} = $ 130 GeV PRL 88 (2002) 022301 nucl-ex/0109003
4 PHENIX Collaboration Suppressed $ \pi^{0} $ production at large transverse momentum in central Au+Au collisions at $ \sqrt{s_{\mathrm{NN}}} = $ 200 GeV PRL 91 (2003) 072301 nucl-ex/0304022
5 STAR Collaboration Transverse momentum and collision energy dependence of high $ p_{\mathrm{T}} $ hadron suppression in Au+Au collisions at ultrarelativistic energies PRL 91 (2003) 172302 nucl-ex/0305015
6 BRAHMS Collaboration Transverse momentum spectra in Au+Au and d+Au collisions at $ \sqrt{s_{\mathrm{NN}}} = $ 200 GeV and the pseudorapidity dependence of high $ p_{\mathrm{T}} $ suppression PRL 91 (2003) 072305 nucl-ex/0307003
7 PHOBOS Collaboration Charged hadron transverse momentum distributions in Au+Au collisions at $ \sqrt{s_{\mathrm{NN}}} = $ 200 GeV PLB 578 (2004) 297 nucl-ex/0302015
8 STAR Collaboration Dijet imbalance measurements in Au+Au and pp collisions at $ \sqrt{s_{\mathrm{NN}}} = 200 \;$ GeV at STAR PRL 119 (2017) 062301 1609.03878
9 STAR Collaboration Measurements of jet quenching with semi-inclusive hadron+jet distributions in Au+Au collisions at $ \sqrt{s_{\mathrm{NN}}} = $ 200 GeV Submitted to PRC 1702.01108
10 ALICE Collaboration Suppression of charged particle production at large transverse momentum in central Pb--Pb collisions at $ \sqrt{s_{\mathrm{NN}}} = $ 2.76 TeV PLB 696 (2011) 30 1012.1004
11 ALICE Collaboration Particle-yield modification in jetlike azimuthal dihadron correlations in Pb-Pb collisions at $ \sqrt{s_{\mathrm{NN}}} = $ 2.76 TeV PRL 108 (2012) 092301 1110.0121
12 ATLAS Collaboration Measurement of charged-particle spectra in Pb+Pb collisions at $ \sqrt{{s}_\mathsf{{NN}}} = $ 2.76 TeV with the ATLAS detector at the LHC JHEP 09 (2015) 050 1504.04337
13 CMS Collaboration Study of high-$ p_{\mathrm{T}} $ charged particle suppression in PbPb compared to pp collisions at $ \sqrt{s_{\mathrm{NN}}}= $ 2.76 TeV EPJC 72 (2012) 1945 CMS-HIN-10-005
1202.2554
14 ATLAS Collaboration Observation of a centrality-dependent dijet asymmetry in Lead-Lead collisions at $ \sqrt{\mathrm{s}_{\mathrm{NN}}} = $ 2.76 TeV with the ATLAS detector at the LHC PRL 105 (2010) 252303 1011.6182
15 CMS Collaboration Jet momentum dependence of jet quenching in PbPb collisions at $ \sqrt{s_{\mathrm{NN}}}= $ 2.76 TeV PLB 712 (2012) 176 CMS-HIN-11-013
1202.5022
16 ATLAS Collaboration Measurement of the jet radius and transverse momentum dependence of inclusive jet suppression in lead-lead collisions at $ \sqrt{s_{\mathrm{NN}}}= $ 2.76 TeV with the ATLAS detector PLB 719 (2013) 220 1208.1967
17 ALICE Collaboration Measurement of charged jet suppression in Pb-Pb collisions at $ \sqrt{\mathrm{s}_{\mathrm{NN}}} = $ 2.76 TeV JHEP 03 (2014) 013 1311.0633
18 ALICE Collaboration Measurement of jet suppression in central Pb-Pb collisions at $ \sqrt{s_{\rm NN}} = $ 2.76 TeV PLB 746 (2015) 1 1502.01689
19 CMS Collaboration Charged-particle nuclear modification factors in PbPb and pPb collisions at $ \sqrt{s_{\mathrm{N}\mathrm{N}}}= $ 5.02 TeV JHEP 04 (2017) 039 CMS-HIN-15-015
1611.01664
20 ALICE Collaboration Measurement of jet quenching with semi-inclusive hadron-jet distributions in central Pb-Pb collisions at $ \sqrt{s_{\mathrm{NN}}}= $ 2.76 TeV JHEP 09 (2015) 170 1506.03984
21 CMS Collaboration Modification of jet shapes in PbPb collisions at $ \sqrt {s_{\mathrm{NN}}} = $ 2.76 TeV PLB 730 (2014) 243 CMS-HIN-12-002
1310.0878
22 CMS Collaboration Measurement of jet fragmentation in PbPb and pp collisions at $ \sqrt{s_{\mathrm{NN}}}= $ 2.76 TeV PRC 90 (2014) 024908 CMS-HIN-12-013
1406.0932
23 ATLAS Collaboration Measurement of jet fragmentation in Pb+Pb and pp collisions at $ \sqrt{{s_\mathrm{NN}}} = $ 2.76 TeV with the ATLAS detector at the LHC EPJC 77 (2017) 379 1702.00674
24 ALICE Collaboration First measurement of jet mass in Pb-Pb and p-Pb collisions at the LHC Submitted to PLB 1702.00804
25 CMS Collaboration Measurement of transverse momentum relative to dijet systems in PbPb and pp collisions at $ \sqrt{s_{\mathrm{NN}}}= $ 2.76 TeV JHEP 01 (2016) 006 CMS-HIN-14-010
1509.09029
26 S. D. Ellis, C. K. Vermilion, and J. R. Walsh Recombination algorithms and jet substructure: Pruning as a tool for heavy particle searches PRD 81 (2010) 094023 0912.0033
27 J. M. Butterworth, A. R. Davison, M. Rubin, and G. P. Salam Jet substructure as a new Higgs search channel at the LHC PRL 100 (2008) 242001 0802.2470
28 D. Krohn, J. Thaler, and L.-T. Wang Jet trimming JHEP 02 (2010) 084 0912.1342
29 M. Dasgupta, A. Fregoso, S. Marzani, and G. P. Salam Towards an understanding of jet substructure JHEP 09 (2013) 029 1307.0007
30 A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler Soft drop JHEP 05 (2014) 146 1402.2657
31 G. Altarelli and G. Parisi Asymptotic freedom in parton language NPB 126 (1977) 298
32 A. J. Larkoski, S. Marzani, and J. Thaler Sudakov Safety in Perturbative QCD PRD 91 (2015) 111501 1502.01719
33 A. Larkoski et al. Exposing the QCD splitting function with CMS Open Data 1704.05066
34 A. Tripathee et al. Jet substructure studies with CMS Open Data 1704.05842
35 Y. Mehtar-Tani and K. Tywoniuk Jet (de)coherence in Pb--Pb collisions at the LHC PLB 744 (2015) 284 1401.8293
36 J. Casalderrey-Solana, Y. Mehtar-Tani, C. A. Salgado, and K. Tywoniuk New picture of jet quenching dictated by color coherence PLB 725 (2013) 357 1210.7765
37 Y. Mehtar-Tani and K. Tywoniuk Groomed jets in heavy-ion collisions: sensitivity to medium-induced bremsstrahlung JHEP 04 (2017) 125 1610.08930
38 Y.-T. Chien and I. Vitev Probing the hardest branching of jets in heavy ion collisions 1608.07283
39 J. G. Milhano, U. A. Wiedemann, and K. C. Zapp Sensitivity of jet substructure to jet-induced medium response 1707.04142
40 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
41 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector Submitted to JINST CMS-PRF-14-001
1706.04965
42 M. Cacciari, G. P. Salam, and G. Soyez Fastjet user manual EPJC 72 (2012) 1896 1111.6097
43 M. Cacciari and G. P. Salam Dispelling the $ N^{3} $ myth for the $ k_t $ jet-finder PLB 641 (2006) 57 hep-ph/0512210
44 CMS Collaboration Observation and studies of jet quenching in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV PRC 84 (2011) 024906 CMS-HIN-10-004
1102.1957
45 T. Sjostrand, S. Mrenna, and P. Skands PYTHIA 6.4 physics and manual JHEP 05 (2006) 026 hep-ph/0603175
46 CMS Collaboration Study of the underlying event at forward rapidity in pp collisions at $ \sqrt{s} = $ 0.9, 2.76, and 7 TeV JHEP 04 (2013) 072 CMS-FWD-11-003
1302.2394
47 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
48 I. P. Lokhtin and A. M. Snigirev A model of jet quenching in ultrarelativistic heavy ion collisions and high-$ p_{\mathrm{T}} $ hadron spectra at RHIC EPJC 45 (2006) 211 hep-ph/0506189
49 GEANT4 Collaboration GEANT4---a simulation toolkit NIMA 506 (2003) 250
50 T. Sjostrand, S. Mrenna, and P. Skands A brief introduction to PYTHIA 8.1 Comp. Phys. Comm. 178 (2008) 852 0710.3820
51 M. Bahr et al. Herwig++ physics and manual EPJC 58 (2008) 639 0803.0883
52 M. H. Seymour and A. Siodmok Constraining MPI models using $ \sigma_{\mathrm{eff}} $ and recent Tevatron and LHC underlying event data JHEP 10 (2013) 113 1307.5015
53 P. Berta, M. Spousta, D. W. Miller, and R. Leitner Particle-level pileup subtraction for jets and jet shapes JHEP 06 (2014) 092 1403.3108
54 G. Soyez et al. Pileup subtraction for jet shapes PRL 110 (2013) 162001 1211.2811
55 CMS Collaboration Determination of jet energy calibration and transverse momentum resolution in CMS JINST 6 (2011) P11002 CMS-JME-10-011
1107.4277
56 Y. L. Dokshitzer, G. D. Leder, S. Moretti, and B. R. Webber Better jet clustering algorithms JHEP 08 (1997) 001 hep-ph/9707323
57 CMS Collaboration Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV JINST 12 (2017) P02014 CMS-JME-13-004
1607.03663
58 K. C. Zapp, F. Krauss, and U. A. Wiedemann A perturbative framework for jet quenching JHEP 03 (2013) 080 1212.1599
59 R. Kunnawalkam Elayavalli and K. C. Zapp Medium response in JEWEL and its impact on jet shape observables in heavy ion collisions 1707.01539
60 R. Baier et al. Radiative energy loss of high-energy quarks and gluons in a finite volume quark-gluon plasma NPB 483 (1997) 291 hep-ph/9607355
61 R. Baier et al. Radiative energy loss and $ p_{\mathrm{T}} $ broadening of high-energy partons in nuclei NPB 484 (1997) 265 hep-ph/9608322
62 N.-B. Chang, S. Cao, and G.-Y. Qin Probing medium-induced jet splitting and energy loss in heavy-ion collisions 1707.03767
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