CMS-SMP-17-003 ; CERN-EP-2018-253 | ||
Event shape variables measured using multijet final states in proton-proton collisions at $\sqrt{s} = $ 13 TeV | ||
CMS Collaboration | ||
2 November 2018 | ||
JHEP 12 (2018) 117 | ||
Abstract: The study of global event shape variables can provide sensitive tests of predictions for multijet production in proton-proton collisions. This paper presents a study of several event shape variables calculated using jet four momenta in proton-proton collisions at a centre-of-mass energy of 13 TeV and uses data recorded with the CMS detector at the LHC corresponding to an integrated luminosity of 2.2 fb$^{-1}$. After correcting for detector effects, the resulting distributions are compared with several theoretical predictions. The agreement generally improves as the energy, represented by the average transverse momentum of the two leading jets, increases. | ||
Links: e-print arXiv:1811.00588 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; |
Figures | |
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Figure 1:
Total uncertainty (black line) for the four event shape variables: the complement of transverse thrust ($ {\tau _{\perp}} $) (upper left), total jet broadening ($ {B_{\mathrm {Tot}}} $) (upper right), total jet mass ($ {\rho _{\mathrm {Tot}}} $) (lower left) and total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower right) evaluated with jets for 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. The contributions from different sources are also shown in each plot: JES (red dashed line), JER (blue dotted line), unfolding (pink dash-dotted line), PDF (light-blue dash-dotted line) and statistics (grey dashed line). |
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Figure 2:
The effects of MPI, ISR, and FSR in PYTHIA8 CUETP8M1 on $ {\tau _{\perp}} $ (upper left), $ {B_{\mathrm {Tot}}} $ (upper right), $ {\rho _{\mathrm {Tot}}} $ (lower left) and $ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $ (lower right) for a typical range 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. The ratio plots for simulation (MC) with respect to data are shown in the lower panel of each plot. The inner gray band represents the statistical uncertainty and the yellow band represents the total uncertainty (systematic + statistical) in each plot. |
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Figure 2-a:
The effects of MPI, ISR, and FSR in PYTHIA8 CUETP8M1 on $ {\tau _{\perp}} $ for a typical range 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. The ratio plot for simulation (MC) with respect to data are shown in the lower panel. The inner gray band represents the statistical uncertainty and the yellow band represents the total uncertainty (systematic + statistical). |
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Figure 2-b:
The effects of MPI, ISR, and FSR in PYTHIA8 CUETP8M1 on $ {B_{\mathrm {Tot}}} $ for a typical range 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. The ratio plot for simulation (MC) with respect to data are shown in the lower panel. The inner gray band represents the statistical uncertainty and the yellow band represents the total uncertainty (systematic + statistical). |
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Figure 2-c:
The effects of MPI, ISR, and FSR in PYTHIA8 CUETP8M1 on $ {\rho _{\mathrm {Tot}}} $ for a typical range 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. The ratio plot for simulation (MC) with respect to data are shown in the lower panel. The inner gray band represents the statistical uncertainty and the yellow band represents the total uncertainty (systematic + statistical). |
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Figure 2-d:
The effects of MPI, ISR, and FSR in PYTHIA8 CUETP8M1 on $ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $ for a typical range 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. The ratio plot for simulation (MC) with respect to data are shown in the lower panel. The inner gray band represents the statistical uncertainty and the yellow band represents the total uncertainty (systematic + statistical). |
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Figure 3:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) (upper left), total jet broadening ($ {B_{\mathrm {Tot}}} $) (upper right), total jet mass ($ {\rho _{\mathrm {Tot}}} $) (lower left) and total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower right) for 73 $ < {H_{\mathrm {T},2}} < $ 93 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 3-a:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) for 73 $ < {H_{\mathrm {T},2}} < $ 93 GeV. In the ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 3-b:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet broadening ($ {B_{\mathrm {Tot}}} $) for 73 $ < {H_{\mathrm {T},2}} < $ 93 GeV. In the ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 3-c:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet mass ($ {\rho _{\mathrm {Tot}}} $) for 73 $ < {H_{\mathrm {T},2}} < $ 93 GeV. In the ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 3-d:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) for 73 $ < {H_{\mathrm {T},2}} < $ 93 GeV. In the ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 4:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) (upper left), total jet broadening ($ {B_{\mathrm {Tot}}} $) (upper right), total jet mass ($ {\rho _{\mathrm {Tot}}} $) (lower left) and total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower right) for 93 $ < {H_{\mathrm {T},2}} < $ 165 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 4-a:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) for 93 $ < {H_{\mathrm {T},2}} < $ 165 GeV. In the plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 4-b:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet broadening ($ {B_{\mathrm {Tot}}} $) for 93 $ < {H_{\mathrm {T},2}} < $ 165 GeV. In the plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 4-c:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet mass ($ {\rho _{\mathrm {Tot}}} $) for 93 $ < {H_{\mathrm {T},2}} < $ 165 GeV. In the plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 4-d:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) for 93 $ < {H_{\mathrm {T},2}} < $ 165 GeV. In the plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 5:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) (upper left), total jet broadening ($ {B_{\mathrm {Tot}}} $) (upper right), total jet mass ($ {\rho _{\mathrm {Tot}}} $) (lower left) and total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower right) for 165 $ < {H_{\mathrm {T},2}} < $ 225 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 5-a:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) for 165 $ < {H_{\mathrm {T},2}} < $ 225 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 5-b:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet broadening ($ {B_{\mathrm {Tot}}} $) for 165 $ < {H_{\mathrm {T},2}} < $ 225 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 5-c:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet mass ($ {\rho _{\mathrm {Tot}}} $) for 165 $ < {H_{\mathrm {T},2}} < $ 225 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 5-d:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) for 165 $ < {H_{\mathrm {T},2}} < $ 225 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 6:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) (upper left), total jet broadening ($ {B_{\mathrm {Tot}}} $) (upper right), total jet mass ($ {\rho _{\mathrm {Tot}}} $) (lower left) and total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower right) for 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 6-a:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) for 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. In the plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 6-b:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet broadening ($ {B_{\mathrm {Tot}}} $) for 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. In the plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 6-c:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet mass ($ {\rho _{\mathrm {Tot}}} $) for 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. In the plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 6-d:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) for 225 $ < {H_{\mathrm {T},2}} < $ 298 GeV. In the plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 7:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) (upper left), total jet broadening ($ {B_{\mathrm {Tot}}} $) (upper right), total jet mass ($ {\rho _{\mathrm {Tot}}} $) (lower left) and total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower right) for 298 $ < {H_{\mathrm {T},2}} < $ 365 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 7-a:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) for 298 $ < {H_{\mathrm {T},2}} < $ 365 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 7-b:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet broadening ($ {B_{\mathrm {Tot}}} $) for 298 $ < {H_{\mathrm {T},2}} < $ 365 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 7-c:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet mass ($ {\rho _{\mathrm {Tot}}} $) for 298 $ < {H_{\mathrm {T},2}} < $ 365 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 7-d:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) for 298 $ < {H_{\mathrm {T},2}} < $ 365 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 8:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) (upper left), total jet broadening ($ {B_{\mathrm {Tot}}} $) (upper right), total jet mass ($ {\rho _{\mathrm {Tot}}} $) (lower left) and total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower right) for 365 $ < {H_{\mathrm {T},2}} < $ 452 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 8-a:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) for 365 $ < {H_{\mathrm {T},2}} < $ 452 GeV. In the ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 8-b:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet broadening ($ {B_{\mathrm {Tot}}} $) for 365 $ < {H_{\mathrm {T},2}} < $ 452 GeV. In the ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 8-c:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet mass ($ {\rho _{\mathrm {Tot}}} $) for 365 $ < {H_{\mathrm {T},2}} < $ 452 GeV. In the ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 8-d:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) for 365 $ < {H_{\mathrm {T},2}} < $ 452 GeV. In the ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 9:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) (upper left), total jet broadening ($ {B_{\mathrm {Tot}}} $) (upper right), total jet mass ($ {\rho _{\mathrm {Tot}}} $) (lower left) and total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower right) for 452 $ < {H_{\mathrm {T},2}} < $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 9-a:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) for 452 $ < {H_{\mathrm {T},2}} < $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 9-b:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet broadening ($ {B_{\mathrm {Tot}}} $) for 452 $ < {H_{\mathrm {T},2}} < $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 9-c:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet mass ($ {\rho _{\mathrm {Tot}}} $) for 452 $ < {H_{\mathrm {T},2}} < $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 9-d:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) for 452 $ < {H_{\mathrm {T},2}} < $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 10:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) (upper left), total jet broadening ($ {B_{\mathrm {Tot}}} $) (upper right), total jet mass ($ {\rho _{\mathrm {Tot}}} $) transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower left) and total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) (lower right) for $ {H_{\mathrm {T},2}} > $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 10-a:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: complement of transverse thrust ($ {\tau _{\perp}} $) for $ {H_{\mathrm {T},2}} > $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 10-b:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet broadening ($ {B_{\mathrm {Tot}}} $) for $ {H_{\mathrm {T},2}} > $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
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Figure 10-c:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total jet mass ($ {\rho _{\mathrm {Tot}}} $) transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) for $ {H_{\mathrm {T},2}} > $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
png pdf |
Figure 10-d:
Normalized differential distributions of unfolded data compared with theoretical (MC) predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line) as a function of ESV: total transverse jet mass ($ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $) for $ {H_{\mathrm {T},2}} > $ 557 GeV. In each ratio plot, the inner gray band represents statistical uncertainty and the yellow band represents the total uncertainty (systematic and statistical components added in quadrature) on data and the MC predictions include only statistical uncertainty. |
png pdf |
Figure 11:
The evolution of the mean of $ {\tau _{\perp}} $ (upper left), $ {B_{\mathrm {Tot}}} $ (upper right), $ {\rho _{\mathrm {Tot}}} $ (lower left) and $ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $ (lower right) with increasing $ {H_{\mathrm {T},2}} $. The ratio plots with respect to data are presented in the bottom panel to compare predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line). The yellow band represents the total uncertainty (systematic and statistical components added in quadrature). |
png pdf |
Figure 11-a:
The evolution of the mean of $ {\tau _{\perp}} $ with increasing $ {H_{\mathrm {T},2}} $. The ratio plot with respect to data is presented in the bottom panel to compare predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line). The yellow band represents the total uncertainty (systematic and statistical components added in quadrature). |
png pdf |
Figure 11-b:
The evolution of the mean of $ {B_{\mathrm {Tot}}} $ with increasing $ {H_{\mathrm {T},2}} $. The ratio plot with respect to data is presented in the bottom panel to compare predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line). The yellow band represents the total uncertainty (systematic and statistical components added in quadrature). |
png pdf |
Figure 11-c:
The evolution of the mean of $ {\rho _{\mathrm {Tot}}} $ with increasing $ {H_{\mathrm {T},2}} $. The ratio plot with respect to data is presented in the bottom panel to compare predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line). The yellow band represents the total uncertainty (systematic and statistical components added in quadrature). |
png pdf |
Figure 11-d:
The evolution of the mean of $ {\rho _{\mathrm {Tot}}^{\mathrm {T}}} $ with increasing $ {H_{\mathrm {T},2}} $. The ratio plot with respect to data is presented in the bottom panel to compare predictions of PYTHIA8 CUETP8M1 (red line), PYTHIA8 Monash (blue dash-dotted line), MadGraph5_amc@nlo (pink dash-dot-dotted line) and HERWIG++ (brown dash-dot-dotted line). The yellow band represents the total uncertainty (systematic and statistical components added in quadrature). |
Tables | |
png pdf |
Table 1:
L1 trigger thresholds, HLT thresholds, $ {H_{\mathrm {T},2}} $ range and number of events used in the analysis. |
Summary |
This paper presents the first measurement at $\sqrt{s} = $ 13 TeV of four event shape variables: complement of transverse thrust ($\tau_{\perp}$), total jet broadening ($B_{\text{Tot}}$), total jet mass ($\rho_{\text{Tot}}$), and total transverse jet mass ($\rho^{\mathrm{T}}_{\text{Tot}}$) using proton-proton collision data. It also covers a wider range of energy than the analysis at $\sqrt{s} = $ 7 TeV [19,22]. Data are compared with theoretical predictions from event generators PYTHIA8, HERWIG++, and MadGraph5+MCatNLO+PYTHIA8. The PYTHIA8 generator describes the flow of energy in the transverse plane well as seen in the $\tau_{\perp}$ and $\rho^{\mathrm{T}}_{\text{Tot}}$ distributions. HERWIG++ and MadGraph5+MCatNLO show good agreement with the data for all the four event shape variables and are better than PYTHIA8 in predicting $\rho_{\text{Tot}}$ and $B_{\text{Tot}}$. A study of the effects of initial state radiation, final state radiation, and multiple parton interactions in PYTHIA8 is also presented. |
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Compact Muon Solenoid LHC, CERN |