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| CMS-TOP-15-015 ; CERN-EP-2017-018 | ||
| Measurement of the jet mass in highly boosted $\mathrm{ t \bar{t} }$ events from pp collisions at $\sqrt{s}=$ 8 TeV | ||
| CMS Collaboration | ||
| 18 March 2017 | ||
| Eur. Phys. J. C 77 (2017) 467 | ||
| Abstract: The first measurement of the jet mass $m_{\text{jet}}$ of top quark jets produced in $\mathrm{ t \bar{t} }$ events from pp collisions at $\sqrt{s}=$ 8 TeV is reported for the jet with the largest transverse momentum $p_{\mathrm{T}}$ in highly boosted hadronic top quark decays. The data sample, collected with the CMS detector, corresponds to an integrated luminosity of 19.7 fb$^{-1}$. The measurement is performed in the lepton+jets channel in which the products of the semileptonic decay $\mathrm{ t } \to \mathrm{ b }\mathrm{ W }$ with $\mathrm{ W }\to\ell \nu$ where $\ell$ is an electron or muon, are used to select $\mathrm{ t \bar{t} }$ events with large Lorentz boosts. The products of the fully hadronic decay $\mathrm{ t } \to \mathrm{ b }\mathrm{ W }$ with $\mathrm{ W }\to\mathrm{ q }\mathrm{ \bar{q} }'$ are reconstructed using a single Cambridge-Aachen jet with distance parameter $R=$ 1.2, and $p_{\mathrm{T}} >$ 400 GeV. The $\mathrm{ t \bar{t} }$ cross section as a function of $m_{\text{jet}}$ is unfolded at the particle level and is used to test the modelling of highly boosted top quark production. The peak position of the $m_{\text{jet}}$ distribution is sensitive to the top quark mass $m_{\mathrm{ t }}$, and the data are used to extract a value of $m_{\mathrm{ t }}$ to assess this sensitivity. | ||
| Links: e-print arXiv:1703.06330 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
Simulated mass distributions of the leading jet in ${\mathrm{ t }\mathrm{ \bar{t} } }$ events for the $\ell $+jets channel at the particle level. The events are generated with POWHEG+PYTHIA, and normalised to the integrated luminosity of the data. The distribution for the total number of selected events (dark solid line) is compared to events where the leading jet originates from the fully hadronic top quark decay (light solid line, "fully merged''), and to events where the leading jet does not include all the remnants (dotted line, "not merged'') from the fully hadronic top quark decay. |
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Figure 2:
Distributions of $ {p_{\mathrm {T}}} $ (left ) and $\eta $ (right ) of the leading jet from data (points) and simulation (filled histograms). The vertical bars on the points show the statistical uncertainty and the horizontal bars show the bin widths. The electron and muon channels are shown combined. The ${\mathrm{ t }\mathrm{ \bar{t} } } $ sample is scaled such that the number of simulated events matches the number of selected events observed in data. The hatched region shows the total uncertainty in the simulation, including the statistical and experimental systematic uncertainties. The panels below show the ratio of the data to the simulation. The uncertainty bands include the statistical and experimental systematic uncertainties, where the statistical (light grey) and total (dark grey) uncertainties are shown separately in the ratio. |
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Figure 2-a:
Distributions of $ {p_{\mathrm {T}}} $ of the leading jet from data (points) and simulation (filled histograms). The vertical bars on the points show the statistical uncertainty and the horizontal bars show the bin widths. The electron and muon channels are shown combined. The ${\mathrm{ t }\mathrm{ \bar{t} } } $ sample is scaled such that the number of simulated events matches the number of selected events observed in data. The hatched region shows the total uncertainty in the simulation, including the statistical and experimental systematic uncertainties. The panel below shows the ratio of the data to the simulation. The uncertainty bands include the statistical and experimental systematic uncertainties, where the statistical (light grey) and total (dark grey) uncertainties are shown separately in the ratio. |
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Figure 2-b:
Distributions of $\eta $ of the leading jet from data (points) and simulation (filled histograms). The vertical bars on the points show the statistical uncertainty and the horizontal bars show the bin widths. The electron and muon channels are shown combined. The ${\mathrm{ t }\mathrm{ \bar{t} } } $ sample is scaled such that the number of simulated events matches the number of selected events observed in data. The hatched region shows the total uncertainty in the simulation, including the statistical and experimental systematic uncertainties. The panel below shows the ratio of the data to the simulation. The uncertainty bands include the statistical and experimental systematic uncertainties, where the statistical (light grey) and total (dark grey) uncertainties are shown separately in the ratio. |
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Figure 3:
Distributions of the leading-jet invariant mass from data (points) and simulation (filled histograms). The vertical bars on the points show the statistical uncertainty and the horizontal bars show the bin widths for the combined electron and muon channels. The distributions for $ {p_{\mathrm {T}}} $ bins of 400 $ < {p_{\mathrm {T}}} < $ 500 GeV (left ) and $ {p_{\mathrm {T}}} > $ 500 GeV (right ) are given. The ${\mathrm{ t }\mathrm{ \bar{t} } } $ simulation is scaled such that the number of simulated events matches the number of selected events observed in data. The hatched region shows the total uncertainty in the simulation, including the statistical and experimental systematic uncertainties. The panels below show the ratio of the data to the simulation. The uncertainty bands include the statistical and experimental systematic uncertainties, where the statistical (light grey) and total (dark grey) uncertainties are shown separately in the ratio. |
png pdf |
Figure 3-a:
Distributions of the leading-jet invariant mass from data (points) and simulation (filled histograms). The vertical bars on the points show the statistical uncertainty and the horizontal bars show the bin widths for the combined electron and muon channels. The distribution for ${p_{\mathrm {T}}} $ bins of 400 $ < {p_{\mathrm {T}}} < $ 500 GeV is given. The ${\mathrm{ t }\mathrm{ \bar{t} } } $ simulation is scaled such that the number of simulated events matches the number of selected events observed in data. The hatched region shows the total uncertainty in the simulation, including the statistical and experimental systematic uncertainties. The panel below shows the ratio of the data to the simulation. The uncertainty bands include the statistical and experimental systematic uncertainties, where the statistical (light grey) and total (dark grey) uncertainties are shown separately in the ratio. |
png pdf |
Figure 3-b:
Distributions of the leading-jet invariant mass from data (points) and simulation (filled histograms). The vertical bars on the points show the statistical uncertainty and the horizontal bars show the bin widths for the combined electron and muon channels. The distribution for $ {p_{\mathrm {T}}} $ bins of $ {p_{\mathrm {T}}} > $ 500 GeV is given. The ${\mathrm{ t }\mathrm{ \bar{t} } } $ simulation is scaled such that the number of simulated events matches the number of selected events observed in data. The hatched region shows the total uncertainty in the simulation, including the statistical and experimental systematic uncertainties. The panel below shows the ratio of the data to the simulation. The uncertainty bands include the statistical and experimental systematic uncertainties, where the statistical (light grey) and total (dark grey) uncertainties are shown separately in the ratio. |
png pdf |
Figure 4:
Statistical uncertainties compared to the individual experimental systematic uncertainties (left ), and statistical uncertainties compared to the systematic uncertainties originating from the modelling of ${\mathrm{ t }\mathrm{ \bar{t} } }$ production (right ), as a function of the leading-jet mass. The total uncertainties are indicated by the grey cross-hatched regions. The statistical and total uncertainties in the last bin are around 300% and exceed the vertical scale. The size of the horizontal bars represents the bin widths. |
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Figure 4-a:
Statistical uncertainties compared to the individual experimental systematic uncertainties, as a function of the leading-jet mass. The total uncertainties are indicated by the grey cross-hatched regions. The statistical and total uncertainties in the last bin are around 300% and exceed the vertical scale. The size of the horizontal bars represents the bin widths. |
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Figure 4-b:
Statistical uncertainties compared to the systematic uncertainties originating from the modelling of ${\mathrm{ t }\mathrm{ \bar{t} } }$ production, as a function of the leading-jet mass. The total uncertainties are indicated by the grey cross-hatched regions. The statistical and total uncertainties in the last bin are around 300% and exceed the vertical scale. The size of the horizontal bars represents the bin widths. |
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Figure 5:
Fiducial-region particle-level differential ${\mathrm{ t }\mathrm{ \bar{t} } }$ cross sections as a function of the leading-jet mass. The cross sections from the combined electron and muon channels (points) are compared to predictions from the MadGraph+PYTHIA, POWHEG+PYTHIA, and MC@NLO+HERWIG generators (lines). The vertical bars represent the statistical (inner) and the total (outer) uncertainties. The horizontal bars show the bin widths. |
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Figure 6:
The normalised particle-level ${\mathrm{ t }\mathrm{ \bar{t} } }$ differential cross section in the fiducial region as a function of the leading-jet mass. The measurement is compared to predictions from MadGraph+PYTHIA for three values of ${m_{\mathrm{ t } }} $. The vertical bars represent the statistical (inner) and the total (outer) uncertainties. The horizontal bars show the bin widths. |
| Tables | |
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Table 1:
Summary of the selection criteria used to define the fiducial region of the measurement. |
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Table 2:
Measured particle-level ${\mathrm{ t }\mathrm{ \bar{t} } }$ differential cross sections in the fiducial region as a function of ${m_{\text {jet}}} $, with the individual and total uncertainties in percent. |
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Table 3:
Values of the particle-level ${\mathrm{ t }\mathrm{ \bar{t} } }$ differential cross section in the fiducial region, normalized to unity, as a function of the leading-jet mass. The individual and total uncertainties are given in percent. |
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Table 4:
Covariance matrix for the statistical uncertainties in the differential cross section. All entries are given in units of [fb$^2$]. |
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Table 5:
Covariance matrix for the total uncertainties in the differential cross section, including all systematic and modelling uncertainties. All entries are given in units of [fb$^2$]. |
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Table 6:
Covariance matrix for the statistical uncertainties in the normalised differential cross section. All entries are given in units of [10$^{-4}$]. |
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Table 7:
Covariance matrix for the total uncertainties in the normalised differential cross section, including all systematic and modelling uncertainties. All entries are given in units of [10$^{-4}$]. |
| Summary |
|
The first measurement of the differential $\mathrm{ t \bar{t} }$ cross section has been performed in the $\ell$+jets channel as a function of the leading-jet mass ${m_{\text{jet}}} $ in the highly boosted top quark regime. The measurement is carried out in a fiducial region with fully merged top quark decays in hadronic final states, corrected to the particle level. The normalised differential cross section as a function of ${m_{\text{jet}}} $ agrees with predictions from simulations, indicating the good quality of modelling the jet mass in highly boosted top quark decays. The total fiducial-region cross section for ${m_{\text{jet}}} $ between 140 and 350 GeV is measured to be 101 $\pm$ 19 fb, which is below the predicted value. This difference is consistent with earlier measurements of a softer top quark $p_{\mathrm{T}}$ spectrum observed in data than in simulation [10,11]. The peak position in the ${m_{\text{jet}}} $ distribution is sensitive to the top quark mass ${m_{\mathrm{ t }}} $. This can be used for an independent determination of ${m_{\mathrm{ t }}} $ in the boosted regime, with the prospect of reaching a more reliable correspondence between the top quark mass in any well-defined renormalisation scheme and the top quark mass parameter in general-purpose event generators. The normalised particle-level $\mathrm{ t \bar{t} }$ differential cross section measurement as a function of ${m_{\text{jet}}} $ is used to extract a value of ${m_{\mathrm{ t }}} $ in order to estimate the current sensitivity of the data. The value obtained, ${m_{\mathrm{ t }}} =$ 170.8 $\pm$ 9.0 GeV, is consistent with the current LHC and Tevatron average of 173.34 $\pm$ 0.27 (stat) $\pm$ 0.71 (syst) GeV [111], albeit with a much larger uncertainty. New data at higher centre-of-mass energies and with larger integrated luminosities will lead to an improvement in the statistical uncertainty. More data can also lead to reductions in the experimental systematic uncertainties, most notably that from the jet mass scale, which is expected to improve with smaller jet distance parameters. In addition, improvements in the modelling uncertainty are expected because of stronger constraints on the simulation in the highly boosted regime. A reduction in the theoretical uncertainty is also foreseen with the emergence of higher-order calculations. The results obtained in this analysis show the feasibility of the method to obtain the top quark mass in the highly boosted regime. This can provide an important ingredient for studies of the relation between the value of the top quark mass obtained from MC event generators and the one obtained from first-principle calculations. |
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