CMS-HIN-16-003 ; CERN-EP-2018-091 | ||
Constraining gluon distributions in nuclei using dijets in proton-proton and proton-lead collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | ||
CMS Collaboration | ||
13 May 2018 | ||
Phys. Rev. Lett. 121 (2018) 062002 | ||
Abstract: The pseudorapidity distributions of dijets as functions of their average transverse momentum ($p_{\mathrm{T}}^{\text{ave}}$) are measured in proton-lead (pPb) and proton-proton (pp) collisions. The data samples were collected by the CMS experiment at the CERN LHC, at a nucleon-nucleon center-of-mass energy of 5.02 TeV. A significant modification of the pPb spectra with respect to the pp spectra is observed in all $p_{\mathrm{T}}^{\text{ave}}$ intervals investigated. The ratios of the pPb and pp distributions are compared to next-to-leading order perturbative quantum chromodynamics calculations with unbound nucleon and nuclear parton distribution functions (PDFs). These results give the first evidence that the gluon PDF at large Bjorken $x$ in lead ions is strongly suppressed with respect to the PDF in unbound nucleons. | ||
Links: e-print arXiv:1805.04736 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; |
Figures | |
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Figure 1:
(left) Correlation between $x_{{\mathrm {Pb}}}/x_{{\mathrm {p}}}$ and dijet pseudorapidity ${\eta _{\text {dijet}}}$. The dashed line corresponds to the expected correlation without ISR or FSR effects. (right) Mean Bjorken $x$ of the parton from the lead ion $ < x_{{\mathrm {Pb}}} > $ obtained from PYTHIA 6 events as a function of ${\eta _{\text {dijet}}}$ in different dijet ${{p_{\mathrm {T}}} ^{\text {ave}}}$ intervals. |
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Figure 1-a:
Correlation between $x_{{\mathrm {Pb}}}/x_{{\mathrm {p}}}$ and dijet pseudorapidity ${\eta _{\text {dijet}}}$. The dashed line corresponds to the expected correlation without ISR or FSR effects. |
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Figure 1-b:
Mean Bjorken $x$ of the parton from the lead ion $ < x_{{\mathrm {Pb}}} > $ obtained from PYTHIA 6 events as a function of ${\eta _{\text {dijet}}}$ in different dijet ${{p_{\mathrm {T}}} ^{\text {ave}}}$ intervals. |
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Figure 2:
Ratio of pPb to pp ${\eta _{\text {dijet}}}$ spectra compared to NLO pQCD calculations with DSSZ [18] and EPS09 [14] nPDFs, using CT14 [58] as the baseline nucleon PDF. Red boxes indicate systematic uncertainties in data and the height of the NLO pQCD calculation boxes represent the nPDF uncertainties. |
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Figure 3:
Ratio of theory to data, for the ratio of the pPb to pp ${\eta _{\text {dijet}}}$ spectra for 115 $ < {{p_{\mathrm {T}}} ^{\text {ave}}} < $ 150 GeV. Theory points are from the NLO pQCD calculations of DSSZ [18], EPS09 [14], nCTEQ15 [15], and EPPS16 [16] nPDFs, using CT14 [58] as the baseline PDF. Red boxes indicate the total (statistical and systematic) uncertainties in data, and the error bars on the points represent the nPDF uncertainties. |
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Figure A1:
The measured pp dijet pseudorapidity spectra, shifted to match the $ {\eta _{\text {dijet}}} $ range of the pPb collisions, in bins of {{p_{\mathrm {T}}} ^{\text {ave}}}, overlaid with NLO pQCD calculations with the CT14 [58] and MMHT14 [59] nucleon PDFs. The red boxes indicate systematic uncertainties in data and the height of the NLO pQCD calculation boxes represent the PDF uncertainties. |
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Figure A2:
The measured pPb dijet pseudorapidity spectra in bins of ${{p_{\mathrm {T}}} ^{\text {ave}}}$, overlaid with the NLO pQCD calculations of DSSZ [18], EPS09 [14], and nCTEQ15 [15] nPDFs, using the CT14 [58] as the baseline PDF. The red boxes indicate systematic uncertainties in data and the height of the NLO pQCD calculation boxes represent the nPDF uncertainties. |
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Figure A3:
The measured pPb dijet pseudorapidity spectra in bins of ${{p_{\mathrm {T}}} ^{\text {ave}}}$, overlaid with the NLO pQCD calculations of DSSZ [18], EPS09 [14], and nCTEQ15 [15] nPDFs, using the MMHT14 [59] as the baseline PDF. The red boxes indicate systematic uncertainties in data and the height of the NLO pQCD calculation boxes represent the nPDF uncertainties. |
Summary |
In summary, measurements of the dijet pseudorapidity ($ {\eta _{\text {dijet}}} $) in different average transverse momentum ($ p_{\mathrm{T}}^{\text{ave}} $) intervals in pPb and pp collisions at a nucleon-nucleon center-of-mass energy ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV are reported. Ratios of the pPb and pp $ {\eta _{\text {dijet}}} $ spectra using the pp reference data are also reported. Significant modifications of the $ {\eta _{\text {dijet}}} $ distributions are observed in pPb data compared to the pp reference in all $ p_{\mathrm{T}}^{\text{ave}} $ intervals, which show shadowing, antishadowing, and EMC effects in nuclear parton distribution functions. The ratios of the pPb and pp distributions are compared to next-to-leading order calculations with nucleon and nPDFs. Based on these comparisons, the results present the first evidence that the gluon PDF at large Bjorken $x$ in lead ions is strongly suppressed with respect to that in unbound nucleons. The data are incompatible with predictions using nucleon PDFs or using nPDFs without large-$x$ gluon suppression. Based on a statistical analysis, the EPS09 nPDF provides the best overall agreement with the data. This data can be used to place strong constraints on the next-generation of nPDFs, which are crucial for the understanding of high $ p_{\mathrm{T}} $ and high mass particle production at collider energies. |
References | ||||
1 | J. C. Collins and M. J. Perry | Superdense matter: Neutrons or asymptotically free quarks? | PRL 34 (1975) 1353 | |
2 | N. Cabibbo and G. Parisi | Exponential hadronic spectrum and quark liberation | PLB 59 (1975) 67 | |
3 | B. A. Freedman and L. D. McLerran | Fermions and gauge vector mesons at finite temperature and density. 1. Formal techniques | PRD 16 (1977) 1130 | |
4 | E. V. Shuryak | Theory of hadronic plasma | Sov. Phys. JETP 47 (1978) 212.[Zh. Eksp. Teor. Fiz. 74, 408] | |
5 | F. Karsch and E. Laermann | Thermodynamics and in-medium hadron properties from lattice QCD | in Quark-Gluon Plasma III, R. C. Hwa and X.-N. Wang, eds World Scientific Publishing Co. Pte. Ltd. | hep-lat/0305025 |
6 | C. A. Salgado et al. | Proton-nucleus collisions at the LHC: Scientific opportunities and requirements | JPG 39 (2012) 015010 | 1105.3919 |
7 | J. L. Albacete et al. | Predictions for p+Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5 TeV | Int. J. Mod. Phys. E 22 (2013) 1330007 | 1301.3395 |
8 | New Muon Collaboration | The $ A $ dependence of the nuclear structure function ratios | NPB 481 (1996) 3 | |
9 | H. Paukkunen | Nuclear PDFs in the beginning of the LHC era | NP A 926 (2014) 24 | 1401.2345 |
10 | H. Paukkunen | Status of nuclear PDFs after the first LHC p-Pb run | NP A 967 (2017) 241 | 1704.04036 |
11 | PHENIX Collaboration | Centrality dependence of $ \pi^0 $ and $ \eta $ production at large transverse momentum in $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 200 GeV d+Au collisions | PRL 98 (2007) 172302 | nucl-ex/0610036 |
12 | STAR Collaboration | Identified hadron spectra at large transverse momentum in p+p and d+Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 200 GeV | PLB 637 (2006) 161 | nucl-ex/0601033 |
13 | European Muon Collaboration | The ratio of the nucleon structure functions $ F_{2}^{N} $ for iron and deuterium | PLB 123 (1983) 275 | |
14 | K. J. Eskola, H. Paukkunen, and C. A. Salgado | EPS09: A new generation of NLO and LO nuclear parton distribution functions | JHEP 04 (2009) 065 | 0902.4154 |
15 | K. Kova\vr\'ik et al. | nCTEQ15 --- global analysis of nuclear parton distributions with uncertainties in the CTEQ framework | PRD 93 (2016) 085037 | 1509.00792 |
16 | K. J. Eskola, P. Paakkinen, H. Paukkunen, and C. A. Salgado | EPPS16: Nuclear parton distributions with LHC data | EPJC 77 (2017) 163 | 1612.05741 |
17 | R. Sassot, M. Stratmann, and P. Zurita | Fragmentations functions in nuclear media | PRD 81 (2010) 054001 | 0912.1311 |
18 | D. de Florian, R. Sassot, P. Zurita, and M. Stratmann | Global analysis of nuclear parton distributions | PRD 85 (2012) 074028 | 1112.6324 |
19 | M. Dasgupta, L. Magnea, and G. P. Salam | Non-perturbative QCD effects in jets at hadron colliders | JHEP 02 (2008) 055 | 0712.3014 |
20 | J. C. Collins, D. E. Soper, and G. F. Sterman | Factorization of hard processes in QCD | Adv. Ser. Direct. High Energy Phys. 5 (1989) 1 | hep-ph/0409313 |
21 | ALICE Collaboration | Coherent $ \mathrm{J}/\psi $ photoproduction in ultra-peripheral Pb-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV | PLB 718 (2013) 1273 | 1209.3715 |
22 | CMS Collaboration | Coherent $ \mathrm{J}/\psi $ photoproduction in ultra-peripheral PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV with the CMS experiment | PLB 772 (2017) 489 | CMS-HIN-12-009 1605.06966 |
23 | ALICE Collaboration | Transverse momentum distribution and nuclear modification factor of charged particles in p-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | PRL 110 (2013) 082302 | 1210.4520 |
24 | ATLAS Collaboration | Transverse momentum, rapidity, and centrality dependence of inclusive charged-particle production in $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV p+Pb collisions measured by the ATLAS experiment | PLB 763 (2016) 313 | 1605.06436 |
25 | CMS Collaboration | Charged-particle nuclear modification factors in PbPb and pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | JHEP 04 (2017) 039 | CMS-HIN-15-015 1611.01664 |
26 | CMS Collaboration | Studies of dijet transverse momentum balance and pseudorapidity distributions in pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | EPJC 74 (2014) 2951 | CMS-HIN-13-001 1401.4433 |
27 | ALICE Collaboration | Measurement of dijet $ k_{T} $ in p-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | PLB 746 (2015) 385 | 1503.03050 |
28 | CMS Collaboration | Observation and studies of jet quenching in PbPb collisions at nucleon-nucleon center-of-mass energy $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV | PRC 84 (2011) 024906 | CMS-HIN-10-004 1102.1957 |
29 | ATLAS Collaboration | Observation of a centrality-dependent dijet asymmetry in lead-lead collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV with the ATLAS detector at the LHC | PRL 105 (2010) 252303 | 1011.6182 |
30 | CMS Collaboration | Jet momentum dependence of jet quenching in PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV | PLB 712 (2012) 176 | CMS-HIN-11-013 1202.5022 |
31 | CMS Collaboration | Measurement of transverse momentum relative to dijet systems in PbPb and pp collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV | JHEP 01 (2016) 006 | CMS-HIN-14-010 1509.09029 |
32 | ATLAS Collaboration | Centrality and rapidity dependence of inclusive jet production in $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV proton-lead collisions with the ATLAS detector | PLB 748 (2015) 392 | 1412.4092 |
33 | ALICE Collaboration | Measurement of charged jet production cross sections and nuclear modification in p-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | PLB 749 (2015) 68 | 1503.00681 |
34 | CMS Collaboration | Transverse momentum spectra of inclusive b jets in pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | PLB 754 (2016) 59 | CMS-HIN-14-007 1510.03373 |
35 | CMS Collaboration | Measurement of inclusive jet production and nuclear modifications in pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | EPJC 76 (2016) 372 | CMS-HIN-14-001 1601.02001 |
36 | ALICE Collaboration | Transverse momentum dependence of inclusive primary charged-particle production in p-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | EPJC 74 (2014) 3054 | 1405.2737 |
37 | CMS Collaboration | Nuclear effects on the transverse momentum spectra of charged particles in pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | EPJC 75 (2015) 237 | CMS-HIN-12-017 1502.05387 |
38 | CMS Collaboration | Study of B meson production in pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV using exclusive hadronic decays | PRL 116 (2016) 032301 | CMS-HIN-14-004 1508.06678 |
39 | K. J. Eskola, H. Paukkunen, and C. A. Salgado | A perturbative QCD study of dijets in p+Pb collisions at the LHC | JHEP 10 (2013) 213 | 1308.6733 |
40 | H. Paukkunen, K. J. Eskola, and C. Salgado | Dijets in p+Pb collisions and their quantitative constraints for nuclear PDFs | NP A 931 (2014) 331 | 1408.4563 |
41 | N. Armesto et al. | An analysis of the impact of LHC Run I proton-lead data on nuclear parton densities | EPJC 76 (2016) 218 | 1512.01528 |
42 | H. Khanpour and S. Atashbar Tehrani | Global analysis of nuclear parton distribution functions and their uncertainties at next-to-next-to-leading order | PRD 93 (2016) 014026 | 1601.00939 |
43 | CMS Collaboration | Luminosity calibration for the 2013 proton-lead and proton-proton data taking | CMS-PAS-LUM-13-002 | CMS-PAS-LUM-13-002 |
44 | CMS Collaboration | CMS luminosity calibration for the pp reference run at $ \sqrt{s}= $ 5.02 TeV | CMS-PAS-LUM-16-001 | CMS-PAS-LUM-16-001 |
45 | CMS Collaboration | The CMS Experiment at the CERN LHC | JINST 3 (2008) S08004 | CMS-00-001 |
46 | GEANT4 Collaboration | $ GEANT4--a $ simulation toolkit | NIMA 506 (2003) 250 | |
47 | CMS Collaboration | Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and PbPb collisions | PLB 724 (2013) 213 | CMS-HIN-13-002 1305.0609 |
48 | CMS Collaboration | Particle-flow reconstruction and global event description with the CMS detector | JINST 12 (2017) P10003 | CMS-PRF-14-001 1706.04965 |
49 | M. Cacciari, G. P. Salam, and G. Soyez | The anti-$ {k_{\mathrm{T}}} $ jet clustering algorithm | JHEP 04 (2008) 063 | 0802.1189 |
50 | M. Cacciari, G. P. Salam, and G. Soyez | FastJet user manual | EPJC 72 (2012) 1896 | 1111.6097 |
51 | CMS Collaboration | Determination of jet energy calibration and transverse momentum resolution in CMS | JINST 6 (2011) P11002 | CMS-JME-10-011 1107.4277 |
52 | 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 |
53 | T. Sjostrand, S. Mrenna, and P. Skands | $ PYTHIA $ 6.4 physics and manual | JHEP 05 (2006) 026 | hep-ph/0603175 |
54 | R. Field | Early LHC Underlying Event Data - Findings and Surprises | in 22nd Hadron Collider Physics Symposium (HCP 2010), W. Trischuk, ed Toronto | 1010.3558 |
55 | X.-N. Wang and M. Gyulassy | $ HIJING: $ A Monte Carlo model for multiple jet production in pp, pA, and AA collisions | PRD 44 (1991) 3501 | |
56 | M. Gyulassy and X.-N. Wang | $ HIJING $ 1.0: A Monte Carlo program for parton and particle production in high-energy hadronic and nuclear collisions | CPC 83 (1994) 307 | nucl-th/9502021 |
57 | CMS Collaboration | Supplemental Material | See Supplemental Material at [URL will be inserted by the publisher] for the measured $\eta_{\text{dijet}}$ spectra in pPb collisions | |
58 | S. Dulat et al. | New parton distribution functions from a global analysis of quantum chromodynamics | PRD 93 (2016) 033006 | 1506.07443 |
59 | L. A. Harland-Lang, A. D. Martin, P. Motylinski, and R. S. Thorne | Parton distributions in the LHC era: MMHT 2014 PDFs | EPJC 75 (2015) 204 | 1412.3989 |
60 | Z. Nagy | Next-to-leading order calculation of three jet observables in hadron hadron collision | PRD 68 (2003) 094002 | hep-ph/0307268 |
Compact Muon Solenoid LHC, CERN |