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| CMS-TOP-22-001; ATLAS-TOPQ-2019-13 ; CERN-EP-2024-020 | ||
| Combination of measurements of the top quark mass from data collected by the ATLAS and CMS experiments at $ \sqrt{s}= $ 7 and 8 TeV | ||
| ATLAS and CMS Collaborations | ||
| 13 February 2024 | ||
| Phys. Rev. Lett. 132 (2024) 261902 | ||
| Abstract: A combination of fifteen top quark mass measurements performed by the ATLAS and CMS experiments at the LHC is presented. The data sets used correspond to an integrated luminosity of up to 5 and 20 fb$ ^{-1} $ of proton-proton collisions at center-of-mass energies of 7 and 8 TeV, respectively. The combination includes measurements in top quark pair events that exploit both the semileptonic and hadronic decays of the top quark, and a measurement using events enriched in single top quark production via the electroweak $ t $-channel. The combination accounts for the correlations between measurements and achieves an improvement in the total uncertainty of 31% relative to the most precise input measurement. The result is $ m_{\mathrm{t}} = $ 172.52 $ \pm $ 0.14 (stat) $ \pm $ 0.30 (syst) GeV, with a total uncertainty of 0.33 GeV. | ||
| Links: e-print arXiv:2402.08713 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; Physics Briefing ; CADI line (restricted) ; | ||
| Figures & Tables | Summary | Additional Tables | References | CMS Publications |
|---|
| Highlighted with a Synopsis in Physics Magazine. |
| Figures | |
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Figure 1:
Comparison of the individual $ m_{\mathrm{t}} $ measurements and the result of the $ m_{\mathrm{t}} $ combination. Also shown are the separate combinations of each experiment and the result of the simultaneous combination for the different decay channels, where the ``other'' category covers the single top, J$ /\psi $, and secondary vertex measurements. |
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Figure 1-a:
Comparison of the individual $ m_{\mathrm{t}} $ measurements and the result of the $ m_{\mathrm{t}} $ combination. Also shown are the separate combinations of each experiment and the result of the simultaneous combination for the different decay channels, where the ``other'' category covers the single top, J$ /\psi $, and secondary vertex measurements. |
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Figure 1-b:
Comparison of the individual $ m_{\mathrm{t}} $ measurements and the result of the $ m_{\mathrm{t}} $ combination. Also shown are the separate combinations of each experiment and the result of the simultaneous combination for the different decay channels, where the ``other'' category covers the single top, J$ /\psi $, and secondary vertex measurements. |
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Figure 2:
The simultaneous extraction of the $ m_{\mathrm{t}} $ measured by ATLAS ($ m_{\mathrm{t}}^\text{ATLAS} $) and CMS ($ m_{\mathrm{t}}^\text{CMS} $) from a BLUE combination of the 15 input measurements is shown by the star. The solid ellipses show the regions allowed at 68 and 95% confidence level (CL) by the combination and are in good agreement with the expectation $ m_{\mathrm{t}}^\text{ATLAS}=m_{\mathrm{t}}^\text{CMS} $ (shown by the black dashed line). The observed correlation between $ m_{\mathrm{t}}^\text{ATLAS} $ and $ m_{\mathrm{t}}^\text{CMS} $ is 0.15. The blue and red lines and bands show the central values and 68% CL intervals for the individual ATLAS and CMS combinations, which use the 6 ATLAS and 9 CMS measurements, respectively. In addition, the central value of the LHC combination, $ m_{\mathrm{t}}^\text{LHC} $, which assumes $ m_{\mathrm{t}}^\text{LHC}=m_{\mathrm{t}}^\text{ATLAS}=m_{\mathrm{t}}^\text{CMS} $, is shown by the circular marker. The projection of the corresponding diagonal error bar on either axis represents the total uncertainty $ m_{\mathrm{t}}^\text{LHC} $. |
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Figure 3:
Correlation matrix for the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and for the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and J$ /\psi $ analysis (``J$ /\psi $''). |
| Tables | |
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Table 1:
Correlation strengths $ \rho $ of the systematic uncertainty categories between ATLAS and CMS, as used in the combination. The categories are defined in the text. Categories indicated with the symbol $ \text{---} $ in the second column correspond to uncertainties specific to a single experiment. The third column shows the range of $ \rho $ scanned for stability checks. The changes in the combination's central value $ m_{\mathrm{t}} $ and uncertainty $ \sigma_{m_{\mathrm{t}}} $ corresponding to each correlation variation are shown in the last two columns. |
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Table 2:
Uncertainties on the $ m_{\mathrm{t}} $ values extracted in the LHC, ATLAS, and CMS combinations arising from different categories. |
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Table 3:
BLUE weights of the simultaneous ATLAS and CMS combination for each input measurement. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and J$ /\psi $ analysis (``J$ /\psi $''). The sum of the ATLAS weights in the CMS combined value is zero, and vice versa. The individual weights, however, are different from zero due to the correlation between the different experiments. The weights are rounded to two decimal places; when the full precision is used, the weights for each of $ m_{\mathrm{t}}^\text{ATLAS} $ and $ m_{\mathrm{t}}^\text{CMS} $ sum to one. |
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Table 4:
Results and systematic uncertainties of the ATLAS $ m_{\mathrm{t}} $ measurements, shown separately for the 7 and 8 TeV results in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and for their combination (``comb.''). All values are given in GeVns. |
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Table 5:
Results and systematic uncertainties of the CMS $ m_{\mathrm{t}} $ measurements, shown separately for the 7 and 8 TeV results in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, for the 8 TeV results in the single top (``t''), secondary vertex (``vtx''), and J$ /\psi $ analysis (``J$ /\psi $''), and for their combination (``comb.''). All values are given in GeVns. |
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Table 6:
Pulls and weights of each input measurement in the LHC combination. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t'), secondary vertex (``vtx''), and J$ /\psi $ analysis (``J$ /\psi $''). The pull for measurement $ i $ is defined as $ (m_i - m_c)/\sqrt{\smash[b]{\sigma_i^2 - \sigma_c^2}} $, where $ m_i $ ($ \sigma_i $) is the central value (uncertainty) of the measurement and $ m_c $ ($ \sigma_c $) is the central value (uncertainty) of the LHC combination. The weights are rounded to two decimal places; when the full precision is used, the weights sum to one. |
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Table 7:
Weights for each input measurement for the simultaneous combination of the four different channels. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and J$ /\psi $ analysis (``J$ /\psi $''). The CMS alternative measurements are assigned to the ``Other'' channel. |
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Table 8:
Correlation matrix for the simultaneous combination of the dilepton (``dil''), lepton+jets (``lj''), all-jets (``aj''), and other (``Other'') channels. |
| Summary |
| In summary, a combination of top quark mass measurements by the ATLAS and CMS experiments at the CERN LHC in proton-proton collisions at $ \sqrt{s}= $ 7 and 8 TeV has been performed. The combination yields $ m_{\mathrm{t}} = $ 172.52 $ \pm $ 0.33 GeV, which is the most precise result to date. |
| Additional Tables | |
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Additional Table 1:
Correlation matrix for the LHCJES1 category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 2:
Correlation matrix for the LHCJES2 category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 3:
Correlation matrix for the LHCJES3 category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 4:
Correlation matrix for the LHCfJESb category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 5:
Correlation matrix for the LHCfJES$ \mathrm{g} $ category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 6:
Correlation matrix for the LHCfJES$\ell$ category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 7:
Correlation matrix for the CMSJES1 category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 8:
Correlation matrix for the JER category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 9:
Correlation matrix for the Leptons category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 10:
Correlation matrix for the b tagging category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 11:
Correlation matrix for the $ p_{\mathrm{T}}^\text{miss} $ category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 12:
Correlation matrix for the Pileup category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 13:
Correlation matrix for the Trigger category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 14:
Correlation matrix for the ME generator category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 15:
Correlation matrix for the QCD radiation category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 16:
Correlation matrix for the Hadronization category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 17:
Correlation matrix for the CMS b hadron $ \mathcal{B} $ category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 18:
Correlation matrix for the Color reconnection category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 19:
Correlation matrix for the Underlying event category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 20:
Correlation matrix for the PDF category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 21:
Correlation matrix for the CMS top quark $ p_{\mathrm{T}} $ category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 22:
Correlation matrix for the Background (data) category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 23:
Correlation matrix for the Background (MC) category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 24:
Correlation matrix for the Method category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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Additional Table 25:
Correlation matrix for the Other category for all of the input measurements. The input measurements are the ATLAS and CMS 7 and 8 TeV $ m_{\mathrm{t}} $ measurements in the dilepton (``dil''), lepton+jets (``lj''), and all-jets (``aj'') channels, and the CMS 8 TeV $ m_{\mathrm{t}} $ measurements in the single top (``t''), secondary vertex (``vtx''), and $ \mathrm{J}/\psi $ analysis (``$ \mathrm{J}/\psi $''). |
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