CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-HIN-19-003
New constraints of initial states in PbPb collisions with Z boson yields and azimuthal anisotropy at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} =$ 5.02 TeV
Abstract: The differential yields of Z bosons decaying to a pair of leptons are measured in PbPb collisions collected by the CMS experiment at the LHC. The measurements are performed for collisions at 5.02 TeV, using both the muon and electron decay channels. The yields in various centrality bins are compared to Glauber model predictions of the production rates of hard probes not modified by the presence of a hot medium. For the first time, Z boson yields in peripheral collisions are found to deviate from the canonical scaling expected for colorless hard probes, indicating the presence of initial collision geometry and centrality selection biases. Because the measurement uncertainties are comparable to the uncertainties of a Glauber-scaled reference, Z boson yields can now be used as an experimental measure of the effective nucleon-nucleon luminosity without loss of precision. A high precision measurement of the Z boson azimuthal anisotropy ($v_{2}$) is also found to be compatible with zero, showing that Z bosons do not experience significant final-state modification in heavy ion collisions.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

png pdf
Figure 1:
The $v_2$ of Z bosons in PbPb collisions for various centrality bins. The error bars represent statistical uncertainties, while the boxes represent systematic uncertainties. A previous measurement by the ATLAS Collaboration at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV is also shown [5].

png pdf
Figure 2:
The Z boson differential cross section as a function of $|y|$. The error bars represent statistical uncertainties, while the boxes represent systematic uncertainties. Predictions using one PDF and two nPDF sets are also shown. The width of the model bands represents the contribution from PDF uncertainties, as well as the $T_{\rm AA}$ uncertainty.

png pdf
Figure 3:
The Z boson differential cross section as a function of $ {p_{\mathrm {T}}} $. The error bars represent statistical uncertainties, while the boxes represent systematic uncertainties. Predictions using one PDF and two nPDF sets are also shown. The bottom panel shows a ratio of the predictions to data. The width of the model bands represents the contribution from PDF uncertainties, as well as the $T_{\rm AA}$ uncertainty.

png pdf
Figure 4:
The $T_{\rm AA}$-scaled yields of Z bosons as a function of centrality. The error bars, hollow boxes, and solid gray boxes represent the statistical, systematic, and $T_{\rm AA}$ uncertainties, respectively. The value of $\sigma _{\rm NN}^{\rm Z}$ and the HG-PYTHIA model are shown for comparison, with the width of the bands representing nPDF uncertainties.
Tables

png pdf
Table 1:
$T_{\rm AA}$ values for ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}=$ 5.02 TeV PbPb collisions. The uncertainties result from uncertainties in the model parameters and the HF detector energy resolution.
Summary
In summary, high precision Z boson yields and elliptic flow coefficient ($v_2$) have been measured as a function of centrality in lead-lead collisions at a center-of-mass energy per nucleon-nucleon pair of 5.02 TeV. The Z boson $v_{2}$ is compatible with zero, consistent with the expectation of no significant final-state modifications experienced by Z bosons from the presence of a quark-gluon plasma. The differential cross section of Z bosons is found to agree with a model including two different nuclear parton distributions as a function of rapidity. However, some discrepancies are observed as a function of transverse momentum. Appropriately scaled Z boson yields have a flat trend as a function of centrality in the 0--40% range. A decreasing trend is seen for the first time toward more peripheral events. This trend is compatible with the HG-PYTHIA model which considers initial collision geometry and centrality selection biases. Results presented in this note provide a new data-driven proxy for estimating the average nucleon-nucleon luminosity of a heavy ion collision. This quantity could avoid uncertainties in Glauber modeling and account for potential biases related to event selection and centrality calibration. Such a method paves the way for searching for the onset of hot medium effects on colored hard probes in peripheral and small-system collision events in the future.
Additional Figures

png pdf
Additional Figure 1:
The dilepton mass distributions in both the muon (left) and electron (right) channels for the 0-100% centrality range. The data are shown by the black points, and are compared to Monte Carlo signal and background predictions shown by the colored histograms. The Monte Carlo is normalized using the theoretical cross section of the process multiplied by the integrated luminosity of the data. A ratio of the data and Monte Carlo is shown in the bottom panels.
References
1 J. Bjorken Energy Loss of Energetic Partons in Quark - Gluon Plasma: Possible Extinction of High $ {p_{\mathrm{T}}} $ Jets in Hadron - Hadron Collisions FERMILAB-PUB-82-059-T
2 D. d'Enterria Jet quenching Landolt-Bornstein 23 (2010) 471 0902.2011
3 M. L. Miller, K. Reygers, S. J. Sanders, and P. Steinberg Glauber modeling in high energy nuclear collisions Ann. Rev. Nucl. Part. Sci. 57 (2007) 205 nucl-ex/0701025
4 CMS Collaboration Study of Z production in PbPb and pp collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 2.76 TeV in the dimuon and dielectron decay channels JHEP 03 (2015) 022 CMS-HIN-13-004
1410.4825
5 ATLAS Collaboration Measurement of $ Z $ boson Production in Pb+Pb Collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 2.76 TeV with the ATLAS Detector PRL 110 (2013) 022301 1210.6486
6 ATLAS Collaboration $ Z $ boson production in Pb+Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV measured by the ATLAS experiment PLB 802 (2020) 135262 1910.13396
7 ALICE Collaboration Z-boson production in p-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 8.16 TeV and Pb-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 5.02 TeV 2005.11126
8 ATLAS Collaboration Measurement of $ W^\pm $ boson production in Pb+Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV with the ATLAS detector EPJC 79 (2019) 935 1907.10414
9 CMS Collaboration Study of $ W $ boson production in PbPb and $ pp $ collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 2.76 TeV PLB 715 (2012) 66 CMS-HIN-11-008
1205.6334
10 ALICE Collaboration Direct photon production in Pb-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV PLB 754 (2016) 235 1509.07324
11 ATLAS Collaboration Centrality, rapidity and transverse momentum dependence of isolated prompt photon production in lead-lead collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV measured with the ATLAS detector PRC 93 (2016) 034914 1506.08552
12 CMS Collaboration Measurement of isolated photon production in $ pp $ and PbPb collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 2.76 TeV PLB 710 (2012) 256 CMS-HIN-11-002
1201.3093
13 K. Dusling, W. Li, and B. Schenke Novel collective phenomena in high-energy proton-proton and proton-nucleus collisions Int. J. Mod. Phys. E 25 (2016) 1630002 1509.07939
14 J. L. Nagle and W. A. Zajc Small System Collectivity in Relativistic Hadronic and Nuclear Collisions Ann. Rev. Nucl. Part. Sci. 68 (2018) 211 1801.03477
15 M. Luzum and J.-Y. Ollitrault Eliminating experimental bias in anisotropic-flow measurements of high-energy nuclear collisions PRC 87 (2013) 044907 1209.2323
16 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
17 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
18 C. Loizides, J. Kamin, and D. d'Enterria Improved Monte Carlo Glauber predictions at present and future nuclear colliders PRC 97 (2018) 054910 1710.07098
19 J. Alwall et al. The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations JHEP 07 (2014) 079 1405.0301
20 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
21 K. J. Eskola, P. Paakkinen, H. Paukkunen, and C. A. Salgado EPPS16: Nuclear parton distributions with LHC data EPJC 77 (2017) 163 1612.05741
22 S. Dulat et al. New parton distribution functions from a global analysis of quantum chromodynamics PRD 93 (2016) 033006 1506.07443
23 T. Sjostrand, S. Mrenna, and P. Z. Skands A Brief Introduction to PYTHIA 8.1 CPC 178 (2008) 852 0710.3820
24 T. Sjostrand et al. An Introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
25 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements CMS-GEN-17-001
1903.12179
26 I. P. Lokhtin and A. M. Snigirev A Model of jet quenching in ultrarelativistic heavy ion collisions and high-p(T) hadron spectra at RHIC EPJC 45 (2006) 211 hep-ph/0506189
27 GEANT4 Collaboration GEANT4: A Simulation toolkit NIMA 506 (2003) 250
28 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
29 CMS Collaboration Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P06015 CMS-MUO-16-001
1804.04528
30 CMS Collaboration Performance of Electron Reconstruction and Selection with the CMS Detector in Proton-Proton Collisions at $ \sqrt{s} = $ 8 TeV JINST 10 (2015) P06005 CMS-EGM-13-001
1502.02701
31 A. Hocker et al. TMVA - Toolkit for Multivariate Data Analysis physics/0703039
32 CMS Collaboration Measurements of Inclusive $ W $ and $ Z $ Cross Sections in $ pp $ Collisions at $ \sqrt{s}= $ 7 TeV JHEP 01 (2011) 080 CMS-EWK-10-002
1012.2466
33 Particle Data Group Collaboration Review of particle physics PRD 98 (2018) 030001
34 CMS Collaboration Evidence for light-by-light scattering and searches for axion-like particles in ultraperipheral PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV PLB 797 (2019) 134826 CMS-FSQ-16-012
1810.04602
35 S. R. Klein et al. STARlight: A Monte Carlo simulation program for ultra-peripheral collisions of relativistic ions CPC 212 (2017) 258 1607.03838
36 T. Adye Unfolding algorithms and tests using RooUnfold in Proceedings, PHYSTAT 2011 Workshop on Statistical Issues Related to Discovery Claims in Search Experiments and Unfolding, CERN 2011 1105.1160
37 CMS Collaboration Measurement of prompt $ D^0 $ meson azimuthal anisotropy in Pb-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV PRL 120 (2018) 202301 CMS-HIN-16-007
1708.03497
38 A. M. Poskanzer and S. A. Voloshin Methods for analyzing anisotropic flow in relativistic nuclear collisions PRC 58 (1998) 1671 nucl-ex/9805001
39 NA49 Collaboration Directed and elliptic flow of charged pions and protons in Pb + Pb collisions at 40-A-GeV and 158-A-GeV PRC 68 (2003) 034903 nucl-ex/0303001
40 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
41 A. Valassi Combining correlated measurements of several different physical quantities NIMA 500 (2003) 391
42 K. Kovarik et al. nCTEQ15 - Global analysis of nuclear parton distributions with uncertainties in the CTEQ framework PRD 93 (2016) 085037 1509.00792
43 H. Paukkunen Nuclear PDFs in the beginning of the LHC era NP A 926 (2014) 24 1401.2345
44 C. Loizides and A. Morsch Absence of jet quenching in peripheral nucleusnucleus collisions PLB 773 (2017) 408 1705.08856
45 CMS Collaboration Charged-particle nuclear modification factors in XeXe collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.44 TeV JHEP 10 (2018) 138 CMS-HIN-18-004
1809.00201
46 ALICE Collaboration Analysis of the apparent nuclear modification in peripheral Pb-Pb collisions at 5.02 TeV PLB 793 (2019) 420 1805.05212
47 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
Compact Muon Solenoid
LHC, CERN