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Measurements of t t-bar spin correlations and top quark polarization using dilepton final states in pp collisions at sqrt(s) = 8 TeV

The collaboration
Phys.Rev.D 93 (2016) 052007, 2016.

Abstract (data abstract)
Measurements of the top quark-antiquark ($\mathrm{t\bar{t}}$) spin correlations and the top quark polarization are presented for $\mathrm{t\bar{t}}$ pairs produced in pp collisions at $\sqrt{s}=8\:$TeV. The data correspond to an integrated luminosity of 19.5 inverse-femtobarns collected with the CMS detector at the LHC. The measurements are performed using events with two oppositely charged leptons (electrons or muons) and two or more jets, where at least one of the jets is identified as originating from a bottom quark. The spin correlations and polarization are measured from the angular distributions of the two selected leptons, both inclusively and differentially, with respect to the invariant mass, rapidity, and transverse momentum of the $\mathrm{t\bar{t}}$ system. The measurements are unfolded to the parton level and found to be in agreement with predictions of the standard model. A search for new physics in the form of anomalous top quark chromo moments is performed. No evidence of new physics is observed, and exclusion limits on the real part of the chromo-magnetic dipole moment and the imaginary part of the chromo-electric dipole moment are evaluated. For the normalized differential cross sections as a function of the angular variables the distributions are normalized to unit area, i.e. the bin values (and their associated covariances) should be multiplied by the bin widths to give the fraction of events in that bin. For the normalized double-differential cross sections as a function of the angular variables and the $\mathrm{t\bar{t}}$ system variables, the quoted bin values (and their associated covariances) are for the fraction of events in that bin, such that the sum of all bin contents is equal to one. Bin values are reported to four decimal places, and covariances to four significant figures. Any missing figures are zeros.

• #### Table 1

Data from Table 5

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Inclusive values of the asymmetry variables.

• #### Table 2

Data from Figure 3

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Values of the 12 bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$.

• #### Table 3

Data from Figure 3

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Statistical covariance matrix for the 12 bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$.

• #### Table 4

Data from Figure 3

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Systematic covariance matrix for the 12 bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$.

• #### Table 5

Data from Figure 3

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Values of the 6 bins of the normalized differential cross section as a function of $\cos\varphi$.

• #### Table 6

Data from Figure 3

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Statistical covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\varphi$.

• #### Table 7

Data from Figure 3

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Systematic covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\varphi$.

• #### Table 8

Data from Figure 3

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Values of the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$.

• #### Table 9

Data from Figure 3

10.17182/hepdata.70879.v1/t9

Statistical covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$.

• #### Table 10

Data from Figure 3

10.17182/hepdata.70879.v1/t10

Systematic covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$.

• #### Table 11

Data from Figure 3

10.17182/hepdata.70879.v1/t11

Values of the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$.

• #### Table 12

Data from Figure 3

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Statistical covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$.

• #### Table 13

Data from Figure 3

10.17182/hepdata.70879.v1/t13

Systematic covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$.

• #### Table 14

Data from Figure 3

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Values of the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$.

• #### Table 15

Data from Figure 3

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Statistical covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$.

• #### Table 16

Data from Figure 3

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Systematic covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$.

• #### Table 17

Data from Figure 4

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Values of $A_{\Delta\phi}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a...

• #### Table 18

Data from Figure 4

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Statistical correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

• #### Table 19

Data from Figure 4

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Systematic correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

• #### Table 20

Data from Figure 4

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• #### Table 33

Data from Figure 4

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Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and...

• #### Table 34

Data from Figure 4

10.17182/hepdata.70879.v1/t34

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and...

• #### Table 35

Data from Figure 4

10.17182/hepdata.70879.v1/t35

Values of $A_{P}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a...

• #### Table 36

Data from Figure 4

10.17182/hepdata.70879.v1/t36

Statistical correlation matrix for $A_{P}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

• #### Table 37

Data from Figure 4

10.17182/hepdata.70879.v1/t37

Systematic correlation matrix for $A_{P}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

• #### Table 38

Data from Figure 4

10.17182/hepdata.70879.v1/t38

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$...

• #### Table 39

Data from Figure 4

10.17182/hepdata.70879.v1/t39

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $M_\mathrm{t\bar{t}}$.

• #### Table 40

Data from Figure 4

10.17182/hepdata.70879.v1/t40

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $M_\mathrm{t\bar{t}}$.

• #### Table 41

Data from Figure 4

10.17182/hepdata.70879.v1/t41

Values of $A_{P}^{\rm{CPV}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a...

• #### Table 42

Data from Figure 4

10.17182/hepdata.70879.v1/t42

Statistical correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

• #### Table 43

Data from Figure 4

10.17182/hepdata.70879.v1/t43

Systematic correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

• #### Table 44

Data from Figure 4

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Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$...

• #### Table 45

Data from Figure 4

10.17182/hepdata.70879.v1/t45

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $M_\mathrm{t\bar{t}}$.

• #### Table 46

Data from Figure 4

10.17182/hepdata.70879.v1/t46

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $M_\mathrm{t\bar{t}}$.

• #### Table 47

Data from Figure 4

10.17182/hepdata.70879.v1/t47

Values of $A_{\Delta\phi}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a...

• #### Table 48

Data from Figure 4

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Statistical correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 49

Data from Figure 4

10.17182/hepdata.70879.v1/t49

Systematic correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 50

Data from Figure 4

10.17182/hepdata.70879.v1/t50

• #### Table 63

Data from Figure 4

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Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and...

• #### Table 64

Data from Figure 4

10.17182/hepdata.70879.v1/t64

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and...

• #### Table 65

Data from Figure 4

10.17182/hepdata.70879.v1/t65

Values of $A_{P}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a...

• #### Table 66

Data from Figure 4

10.17182/hepdata.70879.v1/t66

Statistical correlation matrix for $A_{P}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 67

Data from Figure 4

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Systematic correlation matrix for $A_{P}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 68

Data from Figure 4

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Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$...

• #### Table 69

Data from Figure 4

10.17182/hepdata.70879.v1/t69

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 70

Data from Figure 4

10.17182/hepdata.70879.v1/t70

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 71

Data from Figure 4

10.17182/hepdata.70879.v1/t71

Values of $A_{P}^{\rm{CPV}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a...

• #### Table 72

Data from Figure 4

10.17182/hepdata.70879.v1/t72

Statistical correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 73

Data from Figure 4

10.17182/hepdata.70879.v1/t73

Systematic correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 74

Data from Figure 4

10.17182/hepdata.70879.v1/t74

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$...

• #### Table 75

Data from Figure 4

10.17182/hepdata.70879.v1/t75

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 76

Data from Figure 4

10.17182/hepdata.70879.v1/t76

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

• #### Table 77

Data from Figure 4

10.17182/hepdata.70879.v1/t77

Values of $A_{\Delta\phi}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a...

• #### Table 78

Data from Figure 4

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Statistical correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

• #### Table 79

Data from Figure 4

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Systematic correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

• #### Table 80

Data from Figure 4

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• #### Table 93

Data from Figure 4

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Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and...

• #### Table 94

Data from Figure 4

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Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and...

• #### Table 95

Data from Figure 4

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Values of $A_{P}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a...

• #### Table 96

Data from Figure 4

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Statistical correlation matrix for $A_{P}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

• #### Table 97

Data from Figure 4

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Systematic correlation matrix for $A_{P}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

• #### Table 98

Data from Figure 4

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Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$...

• #### Table 99

Data from Figure 4

10.17182/hepdata.70879.v1/t99

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $|y_\mathrm{t\bar{t}}|$.

• #### Table 100

Data from Figure 4

10.17182/hepdata.70879.v1/t100

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $|y_\mathrm{t\bar{t}}|$.

• #### Table 101

Data from Figure 4

10.17182/hepdata.70879.v1/t101

Values of $A_{P}^{\rm{CPV}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a...

• #### Table 102

Data from Figure 4

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Statistical correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

• #### Table 103

Data from Figure 4

10.17182/hepdata.70879.v1/t103

Systematic correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

• #### Table 104

Data from Figure 4

10.17182/hepdata.70879.v1/t104

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$...

• #### Table 105

Data from Figure 4

10.17182/hepdata.70879.v1/t105

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $|y_\mathrm{t\bar{t}}|$.

• #### Table 106

Data from Figure 4

10.17182/hepdata.70879.v1/t106

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $|y_\mathrm{t\bar{t}}|$.

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