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| CMS-PAS-SMP-22-004 | ||
| Measurement of event shape variables using charged particles inside jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| 3 April 2025 | ||
| Abstract: Event shape variables, constructed from the four-momenta of the final-state objects in an event, are sensitive to the predictions of quantum chromodynamics in multijet production, while minimizing the impact of systematic uncertainties. A study of five event shape variables is presented, using proton-proton collision data collected at a centre-of-mass energy of 13 TeV with the CMS detector during 2016-2018, corresponding to an integrated luminosity of 138 fb$^{-1}$. The variables are evaluated using the charged particles inside jets. After correcting for detector effects, their distributions are compared with the predictions from a number of models for multijet production. In general, the agreement between the theoretical prediction and the data improves with the increasing average transverse momentum of the two highest $ p_{\mathrm{T}} $ jets of the event. | ||
| Links: CDS record (PDF) ; CADI line (restricted) ; | ||
| Figures | |
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Figure 2:
Normalized, unfolded distributions of the complement of transverse thrust ($ \tau_{\mathrm{\perp}} $) are compared with the predictions of PYTHIA8 (CP5 tune) (red, solid), HERWIG 7 (CH3 tune) (green, dash-dot) and MG5+PYTHIA8 (blue, dotted) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 2-a:
Normalized, unfolded distributions of the complement of transverse thrust ($ \tau_{\mathrm{\perp}} $) are compared with the predictions of PYTHIA8 (CP5 tune) (red, solid), HERWIG 7 (CH3 tune) (green, dash-dot) and MG5+PYTHIA8 (blue, dotted) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 2-b:
Normalized, unfolded distributions of the complement of transverse thrust ($ \tau_{\mathrm{\perp}} $) are compared with the predictions of PYTHIA8 (CP5 tune) (red, solid), HERWIG 7 (CH3 tune) (green, dash-dot) and MG5+PYTHIA8 (blue, dotted) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 2-c:
Normalized, unfolded distributions of the complement of transverse thrust ($ \tau_{\mathrm{\perp}} $) are compared with the predictions of PYTHIA8 (CP5 tune) (red, solid), HERWIG 7 (CH3 tune) (green, dash-dot) and MG5+PYTHIA8 (blue, dotted) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 2-d:
Normalized, unfolded distributions of the complement of transverse thrust ($ \tau_{\mathrm{\perp}} $) are compared with the predictions of PYTHIA8 (CP5 tune) (red, solid), HERWIG 7 (CH3 tune) (green, dash-dot) and MG5+PYTHIA8 (blue, dotted) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 2-e:
Normalized, unfolded distributions of the complement of transverse thrust ($ \tau_{\mathrm{\perp}} $) are compared with the predictions of PYTHIA8 (CP5 tune) (red, solid), HERWIG 7 (CH3 tune) (green, dash-dot) and MG5+PYTHIA8 (blue, dotted) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 2-f:
Normalized, unfolded distributions of the complement of transverse thrust ($ \tau_{\mathrm{\perp}} $) are compared with the predictions of PYTHIA8 (CP5 tune) (red, solid), HERWIG 7 (CH3 tune) (green, dash-dot) and MG5+PYTHIA8 (blue, dotted) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 2-g:
Normalized, unfolded distributions of the complement of transverse thrust ($ \tau_{\mathrm{\perp}} $) are compared with the predictions of PYTHIA8 (CP5 tune) (red, solid), HERWIG 7 (CH3 tune) (green, dash-dot) and MG5+PYTHIA8 (blue, dotted) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 2-h:
Normalized, unfolded distributions of the complement of transverse thrust ($ \tau_{\mathrm{\perp}} $) are compared with the predictions of PYTHIA8 (CP5 tune) (red, solid), HERWIG 7 (CH3 tune) (green, dash-dot) and MG5+PYTHIA8 (blue, dotted) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 3:
Normalized, unfolded distributions of total jet mass ($ \rho_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 3-a:
Normalized, unfolded distributions of total jet mass ($ \rho_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 3-b:
Normalized, unfolded distributions of total jet mass ($ \rho_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 3-c:
Normalized, unfolded distributions of total jet mass ($ \rho_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 3-d:
Normalized, unfolded distributions of total jet mass ($ \rho_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 3-e:
Normalized, unfolded distributions of total jet mass ($ \rho_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 3-f:
Normalized, unfolded distributions of total jet mass ($ \rho_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 3-g:
Normalized, unfolded distributions of total jet mass ($ \rho_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 3-h:
Normalized, unfolded distributions of total jet mass ($ \rho_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 4:
Normalized, unfolded distributions of the third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 4-a:
Normalized, unfolded distributions of the third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 4-b:
Normalized, unfolded distributions of the third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 4-c:
Normalized, unfolded distributions of the third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 4-d:
Normalized, unfolded distributions of the third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 4-e:
Normalized, unfolded distributions of the third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 4-f:
Normalized, unfolded distributions of the third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 4-g:
Normalized, unfolded distributions of the third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 4-h:
Normalized, unfolded distributions of the third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 5:
Normalized, unfolded distributions of total jet broadening ($ \mathrm B_{\mathrm{T}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 5-a:
Normalized, unfolded distributions of total jet broadening ($ \mathrm B_{\mathrm{T}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 5-b:
Normalized, unfolded distributions of total jet broadening ($ \mathrm B_{\mathrm{T}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 5-c:
Normalized, unfolded distributions of total jet broadening ($ \mathrm B_{\mathrm{T}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 5-d:
Normalized, unfolded distributions of total jet broadening ($ \mathrm B_{\mathrm{T}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 5-e:
Normalized, unfolded distributions of total jet broadening ($ \mathrm B_{\mathrm{T}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 5-f:
Normalized, unfolded distributions of total jet broadening ($ \mathrm B_{\mathrm{T}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 5-g:
Normalized, unfolded distributions of total jet broadening ($ \mathrm B_{\mathrm{T}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 5-h:
Normalized, unfolded distributions of total jet broadening ($ \mathrm B_{\mathrm{T}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
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Figure 6:
Normalized, unfolded distributions of total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 6-a:
Normalized, unfolded distributions of total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 6-b:
Normalized, unfolded distributions of total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 6-c:
Normalized, unfolded distributions of total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 6-d:
Normalized, unfolded distributions of total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 6-e:
Normalized, unfolded distributions of total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 6-f:
Normalized, unfolded distributions of total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 6-g:
Normalized, unfolded distributions of total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
png pdf |
Figure 6-h:
Normalized, unfolded distributions of total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are compared with the predictions of PYTHIA8 (CP5 tune)(red, solid), HERWIG 7 (CH3 tune)(green, dash-dot) and MG5+PYTHIA8 (blue, dot) for different $ {H_{\mathrm{T,2}}} $ ranges. For each plot the inner grey band and the yellow band represent the statistical and total uncertainties and the lower panel shows the ratio of simulation with respect to data. The error bars corresponding to PYTHIA8 (in red) and MG5+PYTHIA8 (in blue) represent their respective variations of the renormalization and factorization scales. |
| Tables | |
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Table 1:
The $ {H_{\mathrm{T,2}}} $ threshold values, and trigger turn on points, for the 2016, 2017, and 2018 data sets. |
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Table 2:
Summary of the relative uncertainties in the normalized unfolded distributions of the five ESVs. |
| Summary |
| This is the first CMS study that uses charged particles inside jets to evaluate event shape variables. The complement of transverse thrust ($ \tau_{\mathrm{\perp}} $), total jet mass ($ \rho_{\mathrm{Tot}} $), third jet resolution parameter ($ \mathrm Y_{\mathrm{23}} $), total jet broadening ($ \mathrm B_{\mathrm{T}} $), and total transverse jet mass ($ \rho^{{\mathrm T}}_{\mathrm{Tot}} $) are studied with data of pp collisions at $ \sqrt{s} = $ 13 TeV collected during 2016-2018. For each variable, detector effects are corrected using a two-dimensional unfolding in which the average $ p_{\mathrm{T}} $ of the leading and the second leading jets in events($ {H_{\mathrm{T,2}}} $) and variables are unfolded simultaneously. Detailed comparisons of the predictions of PYTHIA8 (CP5 tune), MG5+PYTHIA8 (CP5 tune), and HERWIG 7 (CH3 tune) with data have been made, covering a wide phase space, and the MC event generators show broad agreement with data for the event shape variables. With the increase in the energy involved in the event, the agreement improves for PYTHIA8, remains unchanged for HERWIG 7, but worsens for MG5+PYTHIA8. Overall, the results indicate that our understanding of the energy flow of an event at different energy scales needs improvement. |
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