CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-TOP-15-014 ; CERN-EP-2016-202
Measurement of the mass of the top quark in decays with a $ \mathrm{ J } / \psi $ meson in pp collisions at 8 TeV
JHEP 12 (2016) 123
Abstract: A first measurement is presented of the top quark mass using the decay channel $\mathrm{ t }\to(\mathrm{ W }\to\ell\nu)\,(\mathrm{ b }\to\mathrm{ J } / \psi+\mathrm{X}\to\mu^+\mu^-+\mathrm{X})$, in events selected in proton-proton collisions and recorded with the CMS detector at the LHC at a center-of-mass energy of 8 TeV. The data correspond to an integrated luminosity of 19.7 fb$^{-1}$, with 666 $\mathrm{ t \bar{t} }$ and single top quark candidate events containing a reconstructed $\mathrm{ J } / \psi$ candidate decaying into an oppositely-charged muon pair. The mass of the ($\mathrm{ J } / \psi+\ell$) system, where $\ell$ is an electron or a muon from W boson decay, is used to extract a top quark mass of 173.5 $\pm$ 3.0 (stat) $\pm$ 0.9 (syst) GeV.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Pictorial view of the $\mathrm{ J } / \psi$ meson produced in a ${\mathrm{ t } {}\mathrm{ \bar{t} } }$ system.

png pdf
Figure 2:
Distributions of the dimuon invariant mass between 2.8 and 3.4 GeV (a) and of the ${p_{\mathrm {T}}}$ of the $\mathrm{ J } / \psi$ meson candidate (b). Processes are normalized to their theoretical cross sections. The simulation assumes a value of $m_\mathrm{ t } = $ 172.5 GeV. The lower panel shows the ratio of the number of events observed in data to the number expected from simulation.

png pdf
Figure 2-a:
Distributions of the dimuon invariant mass between 2.8 and 3.4 GeV (a) and of the ${p_{\mathrm {T}}}$ of the $\mathrm{ J } / \psi$ meson candidate (b). Processes are normalized to their theoretical cross sections. The simulation assumes a value of $m_\mathrm{ t } = $ 172.5 GeV. The lower panel shows the ratio of the number of events observed in data to the number expected from simulation.

png pdf
Figure 2-b:
Distributions of the dimuon invariant mass between 2.8 and 3.4 GeV (a) and of the ${p_{\mathrm {T}}}$ of the $\mathrm{ J } / \psi$ meson candidate (b). Processes are normalized to their theoretical cross sections. The simulation assumes a value of $m_\mathrm{ t } = $ 172.5 GeV. The lower panel shows the ratio of the number of events observed in data to the number expected from simulation.

png pdf
Figure 3:
Distributions of the invariant mass of the $\mathrm{ J } / \psi$ meson candidate and the leading lepton combination, in the leading $\mu $ (a) and leading e (b) combinations. Processes are normalized to their theoretical cross sections. The simulation assumes a value of $m_\mathrm{ t } = $ 172.5 GeV. The lower panel shows the ratio of the number of events observed in data to the number expected from simulation.

png pdf
Figure 3-a:
Distributions of the invariant mass of the $\mathrm{ J } / \psi$ meson candidate and the leading lepton combination, in the leading $\mu $ (a) and leading e (b) combinations. Processes are normalized to their theoretical cross sections. The simulation assumes a value of $m_\mathrm{ t } = $ 172.5 GeV. The lower panel shows the ratio of the number of events observed in data to the number expected from simulation.

png pdf
Figure 3-b:
Distributions of the invariant mass of the $\mathrm{ J } / \psi$ meson candidate and the leading lepton combination, in the leading $\mu $ (a) and leading e (b) combinations. Processes are normalized to their theoretical cross sections. The simulation assumes a value of $m_\mathrm{ t } = $ 172.5 GeV. The lower panel shows the ratio of the number of events observed in data to the number expected from simulation.

png pdf
Figure 4:
Mean (a) and standard deviation (b) of the Gaussian distribution describing the peak of the $m_{\mathrm{ J } / \psi +\ell }$ distributions, relative contribution of the Gaussian distribution to $P_\text {sig+bkg}$ (c), and shape (d), scale(e), and shift (f) parameters of the gamma distribution, as a function of input $m_\mathrm{ t } $. The solid lines are the result of the simultaneous fit described in Section 3.1, while the dashed lines indicate the 68% confidence level of the fit. The superimposed data points are the result of the alternative fitting method described in Section 3.2.

png pdf
Figure 4-a:
Mean (a) and standard deviation (b) of the Gaussian distribution describing the peak of the $m_{\mathrm{ J } / \psi +\ell }$ distributions, relative contribution of the Gaussian distribution to $P_\text {sig+bkg}$ (c), and shape (d), scale(e), and shift (f) parameters of the gamma distribution, as a function of input $m_\mathrm{ t } $. The solid lines are the result of the simultaneous fit described in Section 3.1, while the dashed lines indicate the 68% confidence level of the fit. The superimposed data points are the result of the alternative fitting method described in Section 3.2.

png pdf
Figure 4-b:
Mean (a) and standard deviation (b) of the Gaussian distribution describing the peak of the $m_{\mathrm{ J } / \psi +\ell }$ distributions, relative contribution of the Gaussian distribution to $P_\text {sig+bkg}$ (c), and shape (d), scale(e), and shift (f) parameters of the gamma distribution, as a function of input $m_\mathrm{ t } $. The solid lines are the result of the simultaneous fit described in Section 3.1, while the dashed lines indicate the 68% confidence level of the fit. The superimposed data points are the result of the alternative fitting method described in Section 3.2.

png pdf
Figure 4-c:
Mean (a) and standard deviation (b) of the Gaussian distribution describing the peak of the $m_{\mathrm{ J } / \psi +\ell }$ distributions, relative contribution of the Gaussian distribution to $P_\text {sig+bkg}$ (c), and shape (d), scale(e), and shift (f) parameters of the gamma distribution, as a function of input $m_\mathrm{ t } $. The solid lines are the result of the simultaneous fit described in Section 3.1, while the dashed lines indicate the 68% confidence level of the fit. The superimposed data points are the result of the alternative fitting method described in Section 3.2.

png pdf
Figure 4-d:
Mean (a) and standard deviation (b) of the Gaussian distribution describing the peak of the $m_{\mathrm{ J } / \psi +\ell }$ distributions, relative contribution of the Gaussian distribution to $P_\text {sig+bkg}$ (c), and shape (d), scale(e), and shift (f) parameters of the gamma distribution, as a function of input $m_\mathrm{ t } $. The solid lines are the result of the simultaneous fit described in Section 3.1, while the dashed lines indicate the 68% confidence level of the fit. The superimposed data points are the result of the alternative fitting method described in Section 3.2.

png pdf
Figure 4-e:
Mean (a) and standard deviation (b) of the Gaussian distribution describing the peak of the $m_{\mathrm{ J } / \psi +\ell }$ distributions, relative contribution of the Gaussian distribution to $P_\text {sig+bkg}$ (c), and shape (d), scale(e), and shift (f) parameters of the gamma distribution, as a function of input $m_\mathrm{ t } $. The solid lines are the result of the simultaneous fit described in Section 3.1, while the dashed lines indicate the 68% confidence level of the fit. The superimposed data points are the result of the alternative fitting method described in Section 3.2.

png pdf
Figure 4-f:
Mean (a) and standard deviation (b) of the Gaussian distribution describing the peak of the $m_{\mathrm{ J } / \psi +\ell }$ distributions, relative contribution of the Gaussian distribution to $P_\text {sig+bkg}$ (c), and shape (d), scale(e), and shift (f) parameters of the gamma distribution, as a function of input $m_\mathrm{ t } $. The solid lines are the result of the simultaneous fit described in Section 3.1, while the dashed lines indicate the 68% confidence level of the fit. The superimposed data points are the result of the alternative fitting method described in Section 3.2.

png pdf
Figure 5:
Ratio of the ${p_{\mathrm {T}}}$ of the b hadrons to the ${p_{\mathrm {T}}}$ of the matched generator-level jet for the Z2* LEP $r_\mathrm{ b } $ tune(upper), the ratio to Z2* LEP $r_\mathrm{ b } $ for the Z2*, $\text {Z}2^\ast \text {LEP} r_\mathrm{ b } ^{-}$, and $\text {Z}2^\ast \text {LEP} r_\mathrm{ b } ^{+}$ tunes (middle), and the ratio to Z2* LEP $r_\mathrm{ b } $ for the P12, P12FT, and P12FL tunes (lower). As neutrinos are not clustered within jets, it happens in very rare cases that $ {p_{\mathrm {T}}} ^\text {gen}(\text {B})> {p_{\mathrm {T}}} ^\text {gen}(\text {jet})$. For this effect to be visible, the horizontal axis range is extended beyond 1 unit.

png pdf
Figure 6:
Dependence of the extracted $m_\mathrm{ t } $ value on the average fragmentation ratio $ < {p_{\mathrm {T}}} ^\text {gen}(\text {B})/ {p_{\mathrm {T}}} ^\text {gen}(\text {jet}) > $, fitted to a linear function.

png pdf
Figure 7:
Distribution in the invariant mass of the $\mathrm{ J } / \psi$ meson candidate and the leading lepton combination, fitted to $P_\text {sig+bkg}$ of Eq.(1) through the maximization of a likelihood function. The inset shows the negative logarithm of the likelihood function $L$ relative to its maximum $L_\text {max}$ as a function of the only free parameter, which is $m_\mathrm{ t } $.
Tables

png pdf
Table 1:
Number of selected events from simulations and observed in data. The uncertainties are statistical.

png pdf
Table 2:
Summary of the impact of systematic uncertainties on the top quark mass according to the contributions from each source.
Summary
The first measurement of the mass of the top quark is presented in the decay channel $\mathrm{ t }\to(\mathrm{ W }\to\ell\nu)\,(\mathrm{ b }\to\mathrm{ J } / \psi+\mathrm{X}\to\mu^+\mu^-+\mathrm{X})$. An event selection is implemented in proton-proton collisions recorded with the CMS detector at $ \sqrt{s} = $ 8 TeV, to obtain a sample of high purity leptonically-decaying top quarks in $\mathrm{ t \bar{t} }$ and single top quark production events containing one $\mathrm{ J } / \psi$ meson candidate that decays into an oppositely-charged muon pair. The data correspond to an integrated luminosity of 19.7 fb$^{-1}$. There are 355 events observed with a muon and 311 with an electron as leading isolated lepton, in agreement with expectations from simulation. The top quark mass is extracted from an unbinned maximum-likelihood fit to the invariant mass of the leading lepton and $\mathrm{ J } / \psi$ meson candidate. The resulting $m_\mathrm{ t }$ measurement is 173.5 GeV, with a statistical uncertainty of 3.0 GeV and a systematic uncertainty of 0.9 GeV. This is the first time that this method has been applied to a physics analysis and the systematic uncertainty is of the same order of magnitude as that estimated in Ref. [9]. Even though the results are statistically limited, the dominant systematic uncertainties are different from those of the most precise direct reconstruction methods. As the sensitivity to jet-related uncertainties is negligible, this allows the possibility to contribute significantly in combination with other $m_\mathrm{ t }$ measurements. Furthermore, with the larger data set expected in the next runs of the LHC, the method described in this paper will provide a result which will be more competitive with those obtained from the conventional reconstruction techniques.
References
1 M. Baak et al. The global electroweak fit at NNLO and prospects for the LHC and ILC EPJC 74 (2014) 3046 1407.3792
2 A. J. Buras, J. Girrbach, D. Guadagnoli, and G. Isidori On the Standard Model prediction for BR($ \text{B}_\text{s, d} \to \mu^+\mu^- $) EPJC 72 (2012) 2172 1208.0934
3 G. Degrassi et al. Higgs mass and vacuum stability in the Standard Model at NNLO JHEP 08 (2012) 098 1205.6497
4 CDF Collaboration Observation of Top Quark Production in $ \bar{p}p $ Collisions PRL 74 (1995) 2626 hep-ex/9503002
5 D0 Collaboration Observation of the Top Quark PRL 74 (1995) 2632 hep-ex/9503003
6 ATLAS Collaboration Measurement of the top quark mass in the $ \text{t}\bar{\text{t}}\rightarrow\text{lepton+jets} $ and $ \text{t}\bar{\text{t}}\rightarrow\text{dilepton} $ channels using $ \sqrt{s}=7\;\text{TeV} $ ATLAS data EPJC 75 (2015) 330 1503.05427
7 CMS Collaboration Measurement of the top quark mass using proton-proton data at $ \sqrt{s} = 7 $ and $ 8\;\text{TeV} $ PRD 93 (2016) 072004 CMS-TOP-14-022
1509.04044
8 CMS Collaboration Letter of intent: by the CMS Collaboration for a general purpose detector at LHC CDS
9 A. Kharchilava Top mass determination in leptonic final states with $ \mathrm{J} / \psi $ PLB 476 (2000) 73 hep-ph/9912320
10 CMS Collaboration Performance of CMS muon reconstruction in pp collision events at $ \sqrt{s} = 7\;\text{TeV} $ JINST 7 (2012) P10002 CMS-MUO-10-004
1206.4071
11 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
12 CMS Collaboration CMS Luminosity Based on Pixel Cluster Counting -- Summer 2013 Update CMS-PAS-LUM-13-001 CMS-PAS-LUM-13-001
13 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
14 T. Sj\"ostrand, S. Mrenna, and P. Z. Skands PYTHIA 6.4 Physics and Manual JHEP 05 (2006) 026 hep-ph/0603175
15 N. Davidson et al. Universal Interface of TAUOLA Technical and Physics Documentation CPC 183 (2012) 821 1002.0543
16 J. Pumplin et al. New generation of parton distributions with uncertainties from global QCD analysis JHEP 07 (2002) 012 hep-ph/0201195
17 R. Field Early LHC Underlying Event Data - Findings and Surprises Hadron collider physics. Proceedings, 22nd Conference, HCP 2010, Toronto, Canada, August 23-27 1010.3558
18 M. L. Mangano, M. Moretti, F. Piccinini, and M. Treccani Matching matrix elements and shower evolution for top-quark production in hadronic collisions JHEP 01 (2007) 013 hep-ph/0611129
19 B. Andersson, G. Gustafson, G. Ingelman, and T. Sj\"ostrand Parton fragmentation and string dynamics Phys. Rep. 97 (1983) 31
20 M. G. Bowler $ \text{e}^+\text{e}^- $ Production of Heavy Quarks in the String Model Z. Phys. C 11 (1981) 169
21 T. Kinoshita Mass Singularities of Feynman Amplitudes J. Math. Phys. 3 (1962) 650
22 T. D. Lee and M. Nauenberg Degenerate Systems and Mass Singularities PRB 133 (1964) 1549
23 "LEP Electroweak Physics Group" Z physics at LEP 1, vol. 3: Event generators and software CERN-YELLOW-89-08-V-3
24 S. Alioli, P. Nason, C. Oleari, and E. Re NLO single-top production matched with shower in POWHEG: $ s $- and $ t $-channel contributions JHEP 09 (2009) 111, , [Erratum: \DOI10.1007/JHEP02(2010)011] 0907.4076
25 E. Re Single-top Wt-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
26 M. Czakon, P. Fiedler, and A. Mitov The total top quark pair production cross section hadron colliders through O($ \alpha_S^4 $) PRL 110 (2013) 252004 1303.6254
27 N. Kidonakis NNLL threshold resummation for top-pair and single-top production Phys. Part. Nucl. 45 (2014) 714 1210.7813
28 R. Gavin, Y. Li, F. Petriello, and S. Quackenbush FEWZ 2.0: A code for hadronic Z production at next-to-next-to-leading order CPC 182 (2011) 2388 1011.3540
29 R. Gavin, Y. Li, F. Petriello, and S. Quackenbush W Physics at the LHC with FEWZ 2.1 CPC 184 (2013) 208 1201.5896
30 J. M. Campbell, R. K. Ellis, and C. Williams Vector boson pair production at the LHC JHEP 07 (2011) 018 1105.0020
31 GEANT4 Collaboration GEANT4---a simulation toolkit NIMA 506 (2003) 250
32 CMS Collaboration Particle-flow event reconstruction in CMS and performance for jets, taus, and $ E_{\mathrm{T}}^{\text{miss}} $ CDS
33 CMS Collaboration Commissioning of the particle-flow event reconstruction with the first LHC collisions recorded in the CMS detector CDS
34 CMS Collaboration Performance of electron reconstruction and selection with the CMS detector in proton-proton collisions at $ \sqrt{s} = 8\;\text{TeV} $ JINST 10 (2015) P06005 CMS-EGM-13-001
1502.02701
35 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_t $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
36 CMS Collaboration Determination of jet energy calibration and transverse momentum resolution in CMS JINST 6 (2011) P11002 CMS-JME-10-011
1107.4277
37 CMS Collaboration Measurement of the $ \text{t}\bar{\text{t}} $ production cross section in the e-$ \mu $ channel in proton-proton collisions at $ \sqrt{s} = 7 $ and 8 TeV Submitted to JHEP CMS-TOP-13-004
1603.02303
38 R. Fruhwirth Application of Kalman filtering to track and vertex fitting NIMA 262 (1987) 444
39 R. Fr\"uhwirth, W. Waltenberger, and P. Vanlaer Adaptive vertex fitting JPG 34 (2007) N343
40 CMS Collaboration Measurement of $ \mathrm{J} / \psi $ and $ \psi $(2S) Prompt Double-Differential Cross Sections in pp Collisions at $ \sqrt{s}=7\;\text{TeV} $ PRL 114 (2015) 191802 CMS-BPH-14-001
1502.04155
41 CMS Collaboration Measurement of the top quark mass using charged particles in pp collisions at $ \sqrt{s} = 8\;\text{TeV} $ PRD 93 (2016) 2006 CMS-TOP-12-030
1603.06536
42 P. Z. Skands Tuning Monte Carlo Generators: The Perugia Tunes PRD 82 (2010) 074018 1005.3457
43 CMS Collaboration Measurement of the inelastic proton-proton cross section at $ \sqrt{s}=7 $ TeV PLB 722 (2013) 5 CMS-FWD-11-001
1210.6718
44 CMS Collaboration Measurement of the differential cross section for top quark pair production in pp collisions at $ \sqrt{s} = 8\;\text{TeV} $ EPJC 75 (2015) 542 CMS-TOP-12-028
1505.04480
45 CMS Collaboration Measurement of the $ \text{t}\bar{\text{t}} $ Production Cross Section in the All-Jets Final State in pp Collisions at $ \sqrt{s}=8\;\text{TeV} $ EPJC 76 (2016) 128 CMS-TOP-14-018
1509.06076
46 BaBar Collaboration Study of inclusive production of charmonium mesons in B decay PRD 67 (2003) 032002 hep-ex/0207097
47 T. Gleisberg et al. Event generation with SHERPA 1.1 JHEP 02 (2009) 007 0811.4622
48 S. Schumann and F. Krauss A parton shower algorithm based on Catani-Seymour dipole factorisation JHEP 03 (2008) 038 0709.1027
49 S. Dulat et al. New parton distribution functions from a global analysis of quantum chromodynamics PRD 93 (2016) 033006 1506.07443
50 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
51 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
52 S. Alekhin et al. The PDF4LHC Working Group Interim Report 1101.0536
53 M. Botje et al. The PDF4LHC Working Group Interim Recommendations 1101.0538
Compact Muon Solenoid
LHC, CERN