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Last updated on 2024-10-02 17:38
Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV
Measurements of the polarization and spin correlation in top quark pairs ($\mathrm{t\bar{t}}$) are presented using events with a single electron or muon and jets in the final state. The measurements are based on proton-proton collision data from the LHC at $\sqrt{s}$ = 13 TeV collected by the CMS experiment, corresponding to an integrated luminosity of 138 fb$^{-1}$. All coefficients of the polarization vectors and the spin correlation matrix are extracted simultaneously by performing a binned likelihood fit to the data. The measurement is performed inclusively and in bins of additional observables, such as the mass of the $\mathrm{t\bar{t}}$ system and the top quark scattering angle in the $\mathrm{t\bar{t}}$ rest frame. The measured polarization and spin correlation are in agreement with the standard model. From the measured spin correlation, conclusions on the $\mathrm{t\bar{t}}$ spin entanglement are drawn by applying the Peres-Horodecki criterion. The standard model predicts entangled spins for $\mathrm{t\bar{t}}$ states at the production threshold and at high masses of the $\mathrm{t\bar{t}}$ system. Entanglement is observed for the first time in events at high $\mathrm{t\bar{t}}$ mass, where a large fraction of the $\mathrm{t\bar{t}}$ decays are space-like separated, with an expected and observed significance of above 5 standard deviations.
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When using this data, please cite the original publication:
CMS
Collaboration
(2024).
Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV. CMS-TOP-23-007.
Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV. HEPData (collection).
https://doi.org/10.17182/hepdata.153301
or, if you prefer, a specific version of the
record:
CMS
Collaboration
(2024).
Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV (Version 1). HEPData (collection).
https://doi.org/10.17182/hepdata.153301.v1
You can also cite the 40 data
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individually.
Data tables
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CMS
Collaboration
(2024).
“Results for full matrix inclusive from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t1
CMS
Collaboration
(2024).
“Covariance for full matrix inclusive from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t2
CMS
Collaboration
(2024).
“Results for full matrix fine bins from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t3
CMS
Collaboration
(2024).
“Covariance for full matrix fine bins from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t4
CMS
Collaboration
(2024).
“Results for full matrix inclusive from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t5
CMS
Collaboration
(2024).
“Covariance for full matrix inclusive from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t6
CMS
Collaboration
(2024).
“Results for full matrix fine bins from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t7
CMS
Collaboration
(2024).
“Covariance for full matrix fine bins from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t8
CMS
Collaboration
(2024).
“Results for full matrix m(tt) differential” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t9
CMS
Collaboration
(2024).
“Covariance for full matrix m(tt) differential” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t10
CMS
Collaboration
(2024).
“Results for full matrix m(tt) differential for cos<0.4” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t11
CMS
Collaboration
(2024).
“Covariance for full matrix m(tt) differential for cos<0.4” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t12
CMS
Collaboration
(2024).
“Results for full matrix p_T(t) differential” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t13
CMS
Collaboration
(2024).
“Covariance for full matrix p_T(t) differential” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t14
CMS
Collaboration
(2024).
“Results for D inclusive from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t15
CMS
Collaboration
(2024).
“Covariance for D inclusive from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t16
CMS
Collaboration
(2024).
“Results for D inclusive from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t17
CMS
Collaboration
(2024).
“Covariance for D inclusive from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t18
CMS
Collaboration
(2024).
“Results for Dtilde inclusive from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t19
CMS
Collaboration
(2024).
“Covariance for Dtilde inclusive from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t20
CMS
Collaboration
(2024).
“Results for Dtilde inclusive from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t21
CMS
Collaboration
(2024).
“Covariance for Dtilde inclusive from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t22
CMS
Collaboration
(2024).
“Results for D in fine bins from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t23
CMS
Collaboration
(2024).
“Covariance for D in fine bins from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t24
CMS
Collaboration
(2024).
“Results for D in fine bins from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t25
CMS
Collaboration
(2024).
“Covariance for D in fine bins from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t26
CMS
Collaboration
(2024).
“Results for Dtilde in fine bins from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t27
CMS
Collaboration
(2024).
“Covariance for Dtilde in fine bins from m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t28
CMS
Collaboration
(2024).
“Results for Dtilde in fine bins from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t29
CMS
Collaboration
(2024).
“Covariance for Dtilde in fine bins from p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t30
CMS
Collaboration
(2024).
“Results for D differential in m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t31
CMS
Collaboration
(2024).
“Covariance for D differential in m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t32
CMS
Collaboration
(2024).
“Results for Dtilde differential in m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t33
CMS
Collaboration
(2024).
“Covariance for Dtilde differential in m(tt)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t34
CMS
Collaboration
(2024).
“Results for Dtilde m(tt) differential for cos<0.4” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t35
CMS
Collaboration
(2024).
“Covariance for Dtilde m(tt) differential for cos<0.4” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t36
CMS
Collaboration
(2024).
“Results for D differential in p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t37
CMS
Collaboration
(2024).
“Covariance for D differential in p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t38
CMS
Collaboration
(2024).
“Results for Dtilde differential in p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t39
CMS
Collaboration
(2024).
“Covariance for Dtilde differential in p_T(t)” of “Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV” (Version 1). HEPData (dataset).
https://doi.org/10.17182/hepdata.153301.v1/t40
When using this data, please cite the original publication:
CMS
Collaboration
(2024).
Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at $\sqrt{s}$ = 13 TeV. CMS-TOP-23-007.
or, if you prefer, a specific version of the
record:
You can also cite the 40 data
tables
individually.
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