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Measurement of differential cross sections and charge ratios for $t$-channel single top quark production in proton-proton collisions at $\sqrt{s} =$ 13 TeV

The collaboration
Eur.Phys.J. C80 (2020) 370, 2020.

Abstract (data abstract)
A measurement is presented of differential cross sections for $t$-channel single top quark and antiquark production in proton-proton collisions at a centre-of-mass energy of $13~\rm{TeV}$ by the CMS experiment at the LHC. From a data set corresponding to an integrated luminosity of $35.9~\rm{fb}^{-1}$, events containing one muon or electron and two or three jets are analysed. The cross section is measured as a function of the top quark transverse momentum ($p_{\rm{T}}$), rapidity, and polarisation angle, the charged lepton $p_{\rm{T}}$ and rapidity, and the $p_{\rm{T}}$ of the W boson from the top quark decay. In addition, the charge ratio is measured differentially as a function of the top quark, charged lepton, and W boson kinematic observables. The results are found to be in agreement with standard model predictions using various next-to-leading-order event generators and sets of parton distribution functions. Additionally, the spin asymmetry, sensitive to the top quark polarisation, is determined from the differential distribution of the polarisation angle at parton level to be $0.440 \pm 0.070$, in agreement with the standard model prediction.

• #### Table 1

Data from Figure 7, upper row, left column (page 18 of preprint)

10.17182/hepdata.93068.v1/t1

Differential absolute cross section as a function of the parton-level top quark $p_\textrm{T}$

• #### Table 2

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_001-a

10.17182/hepdata.93068.v1/t2

Covariance of the differential absolute cross section as a function of the parton-level top quark $p_\textrm{T}$

• #### Table 3

Data from Figure 7, upper row, right column (page 18 of preprint)

10.17182/hepdata.93068.v1/t3

Differential absolute cross section as a function of the parton-level top quark rapidity

• #### Table 4

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_001-b

10.17182/hepdata.93068.v1/t4

Covariance of the differential absolute cross section as a function of the parton-level top quark rapidity

• #### Table 5

Data from Figure 7, middle row, left column (page 18 of preprint)

10.17182/hepdata.93068.v1/t5

Differential absolute cross section as a function of the parton-level charged lepton $p_\textrm{T}$

• #### Table 6

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_001-c

10.17182/hepdata.93068.v1/t6

Covariance of the differential absolute cross section as a function of the parton-level charged lepton $p_\textrm{T}$

• #### Table 7

Data from Figure 7, middle row, right column (page 18 of preprint)

10.17182/hepdata.93068.v1/t7

Differential absolute cross section as a function of the parton-level charged lepton rapidity

• #### Table 8

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_001-d

10.17182/hepdata.93068.v1/t8

Covariance of the differential absolute cross section as a function of the parton-level charged lepton rapidity

• #### Table 9

Data from Figure 7, lower row, left column (page 18 of preprint)

10.17182/hepdata.93068.v1/t9

Differential absolute cross section as a function of the parton-level W boson $p_\textrm{T}$

• #### Table 10

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_001-e

10.17182/hepdata.93068.v1/t10

Covariance of the differential absolute cross section as a function of the parton-level W boson $p_\textrm{T}$

• #### Table 11

Data from Figure 7, lower row, right column (page 18 of preprint)

10.17182/hepdata.93068.v1/t11

Differential absolute cross section as a function of the parton-level cosine of the top quark polarisation angle

• #### Table 12

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_001-f

10.17182/hepdata.93068.v1/t12

Covariance of the differential absolute cross section as a function of the parton-level cosine of the top quark polarisation angle

• #### Table 13

Data from Figure 8, upper row, left column (page 19 of preprint)

10.17182/hepdata.93068.v1/t13

Differential absolute cross section as a function of the particle-level top quark $p_\textrm{T}$

• #### Table 14

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_002-a

10.17182/hepdata.93068.v1/t14

Covariance of the differential absolute cross section as a function of the particle-level top quark $p_\textrm{T}$

• #### Table 15

Data from Figure 8, upper row, right column (page 19 of preprint)

10.17182/hepdata.93068.v1/t15

Differential absolute cross section as a function of the particle-level top quark rapidity

• #### Table 16

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_002-b

10.17182/hepdata.93068.v1/t16

Covariance of the differential absolute cross section as a function of the particle-level top quark rapidity

• #### Table 17

Data from Figure 8, middle row, left column (page 19 of preprint)

10.17182/hepdata.93068.v1/t17

Differential absolute cross section as a function of the particle-level charged lepton $p_\textrm{T}$

• #### Table 18

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_002-c

10.17182/hepdata.93068.v1/t18

Covariance of the differential absolute cross section as a function of the particle-level charged lepton $p_\textrm{T}$

• #### Table 19

Data from Figure 8, middle row, right column (page 19 of preprint)

10.17182/hepdata.93068.v1/t19

Differential absolute cross section as a function of the particle-level charged lepton rapidity

• #### Table 20

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_002-d

10.17182/hepdata.93068.v1/t20

Covariance of the differential absolute cross section as a function of the particle-level charged lepton rapidity

• #### Table 21

Data from Figure 8, lower row, left column (page 19 of preprint)

10.17182/hepdata.93068.v1/t21

Differential absolute cross section as a function of the particle-level W boson $p_\textrm{T}$

• #### Table 22

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_002-e

10.17182/hepdata.93068.v1/t22

Covariance of the differential absolute cross section as a function of the particle-level W boson $p_\textrm{T}$

• #### Table 23

Data from Figure 8, lower row, right column (page 19 of preprint)

10.17182/hepdata.93068.v1/t23

Differential absolute cross section as a function of the particle-level cosine of the top quark polarisation angle

• #### Table 24

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_002-f

10.17182/hepdata.93068.v1/t24

Covariance of the differential absolute cross section as a function of the particle-level cosine of the top quark polarisation angle

• #### Table 25

Data from Figure 9, upper row, left column (page 20 of preprint)

10.17182/hepdata.93068.v1/t25

Differential normalised cross section as a function of the parton-level top quark $p_\textrm{T}$

• #### Table 26

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_003-a

10.17182/hepdata.93068.v1/t26

Covariance of the differential normalised cross section as a function of the parton-level top quark $p_\textrm{T}$

• #### Table 27

Data from Figure 9, upper row, right column (page 20 of preprint)

10.17182/hepdata.93068.v1/t27

Differential normalised cross section as a function of the parton-level top quark rapidity

• #### Table 28

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_003-b

10.17182/hepdata.93068.v1/t28

Covariance of the differential normalised cross section as a function of the parton-level top quark rapidity

• #### Table 29

Data from Figure 9, middle row, left column (page 20 of preprint)

10.17182/hepdata.93068.v1/t29

Differential normalised cross section as a function of the parton-level charged lepton $p_\textrm{T}$

• #### Table 30

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_003-c

10.17182/hepdata.93068.v1/t30

Covariance of the differential normalised cross section as a function of the parton-level charged lepton $p_\textrm{T}$

• #### Table 31

Data from Figure 9, middle row, right column (page 20 of preprint)

10.17182/hepdata.93068.v1/t31

Differential normalised cross section as a function of the parton-level charged lepton rapidity

• #### Table 32

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_003-d

10.17182/hepdata.93068.v1/t32

Covariance of the differential normalised cross section as a function of the parton-level charged lepton rapidity

• #### Table 33

Data from Figure 9, lower row, left column (page 20 of preprint)

10.17182/hepdata.93068.v1/t33

Differential normalised cross section as a function of the parton-level W boson $p_\textrm{T}$

• #### Table 34

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_003-e

10.17182/hepdata.93068.v1/t34

Covariance of the differential normalised cross section as a function of the parton-level W boson $p_\textrm{T}$

• #### Table 35

Data from Figure 9, lower row, right column (page 20 of preprint)

10.17182/hepdata.93068.v1/t35

Differential normalised cross section as a function of the parton-level cosine of the top quark polarisation angle

• #### Table 36

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_003-f

10.17182/hepdata.93068.v1/t36

Covariance of the differential normalised cross section as a function of the parton-level cosine of the top quark polarisation angle

• #### Table 37

Data from Figure 10, upper row, left column (page 21 of preprint)

10.17182/hepdata.93068.v1/t37

Differential normalised cross section as a function of the particle-level top quark $p_\textrm{T}$

• #### Table 38

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_004-a

10.17182/hepdata.93068.v1/t38

Covariance of the differential normalised cross section as a function of the particle-level top quark $p_\textrm{T}$

• #### Table 39

Data from Figure 10, upper row, right column (page 21 of preprint)

10.17182/hepdata.93068.v1/t39

Differential normalised cross section as a function of the particle-level top quark rapidity

• #### Table 40

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_004-b

10.17182/hepdata.93068.v1/t40

Covariance of the differential normalised cross section as a function of the particle-level top quark rapidity

• #### Table 41

Data from Figure 10, middle row, left column (page 21 of preprint)

10.17182/hepdata.93068.v1/t41

Differential normalised cross section as a function of the particle-level charged lepton $p_\textrm{T}$

• #### Table 42

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_004-c

10.17182/hepdata.93068.v1/t42

Covariance of the differential normalised cross section as a function of the particle-level charged lepton $p_\textrm{T}$

• #### Table 43

Data from Figure 10, middle row, right column (page 21 of preprint)

10.17182/hepdata.93068.v1/t43

Differential normalised cross section as a function of the particle-level charged lepton rapidity

• #### Table 44

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_004-d

10.17182/hepdata.93068.v1/t44

Covariance of the differential normalised cross section as a function of the particle-level charged lepton rapidity

• #### Table 45

Data from Figure 10, lower row, left column (page 21 of preprint)

10.17182/hepdata.93068.v1/t45

Differential normalised cross section as a function of the particle-level W boson $p_\textrm{T}$

• #### Table 46

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_004-e

10.17182/hepdata.93068.v1/t46

Covariance of the differential normalised cross section as a function of the particle-level W boson $p_\textrm{T}$

• #### Table 47

Data from Figure 10, lower row, right column (page 21 of preprint)

10.17182/hepdata.93068.v1/t47

Differential normalised cross section as a function of the particle-level cosine of the top quark polarisation angle

• #### Table 48

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_004-f

10.17182/hepdata.93068.v1/t48

Covariance of the differential normalised cross section as a function of the particle-level cosine of the top quark polarisation angle

• #### Table 49

Data from Figure 11, upper row, left column (page 22 of preprint)

10.17182/hepdata.93068.v1/t49

Differential charge ratio as a function of the parton-level top quark $p_\textrm{T}$

• #### Table 50

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_005-a

10.17182/hepdata.93068.v1/t50

Covariance of the differential charge ratio as a function of the parton-level top quark $p_\textrm{T}$

• #### Table 51

Data from Figure 11, upper row, right column (page 22 of preprint)

10.17182/hepdata.93068.v1/t51

Differential charge ratio as a function of the parton-level top quark rapidity

• #### Table 52

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_005-b

10.17182/hepdata.93068.v1/t52

Covariance of the differential charge ratio as a function of the parton-level top quark rapidity

• #### Table 53

Data from Figure 11, middle row, left column (page 22 of preprint)

10.17182/hepdata.93068.v1/t53

Differential charge ratio as a function of the parton-level charged lepton $p_\textrm{T}$

• #### Table 54

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_005-c

10.17182/hepdata.93068.v1/t54

Covariance of the differential charge ratio as a function of the parton-level charged lepton $p_\textrm{T}$

• #### Table 55

Data from Figure 11, middle row, right column (page 22 of preprint)

10.17182/hepdata.93068.v1/t55

Differential charge ratio as a function of the parton-level charged lepton rapidity

• #### Table 56

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_005-d

10.17182/hepdata.93068.v1/t56

Covariance of the differential charge ratio as a function of the parton-level charged lepton rapidity

• #### Table 57

Data from Figure 11, lower row, left column (page 22 of preprint)

10.17182/hepdata.93068.v1/t57

Differential charge ratio as a function of the parton-level W boson $p_\textrm{T}$

• #### Table 58

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_005-e

10.17182/hepdata.93068.v1/t58

Covariance of the differential charge ratio as a function of the parton-level W boson $p_\textrm{T}$

• #### Table 59

Data from Figure 12, upper row, left column (page 23 of preprint)

10.17182/hepdata.93068.v1/t59

Differential charge ratio as a function of the particle-level top quark $p_\textrm{T}$

• #### Table 60

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_006-a

10.17182/hepdata.93068.v1/t60

Covariance of the differential charge ratio as a function of the particle-level top quark $p_\textrm{T}$

• #### Table 61

Data from Figure 12, upper row, right column (page 23 of preprint)

10.17182/hepdata.93068.v1/t61

Differential charge ratio as a function of the particle-level top quark rapidity

• #### Table 62

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_006-b

10.17182/hepdata.93068.v1/t62

Covariance of the differential charge ratio as a function of the particle-level top quark rapidity

• #### Table 63

Data from Figure 12, middle row, left column (page 23 of preprint)

10.17182/hepdata.93068.v1/t63

Differential charge ratio as a function of the particle-level charged lepton $p_\textrm{T}$

• #### Table 64

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_006-c

10.17182/hepdata.93068.v1/t64

Covariance of the differential charge ratio as a function of the particle-level charged lepton $p_\textrm{T}$

• #### Table 65

Data from Figure 12, middle row, right column (page 23 of preprint)

10.17182/hepdata.93068.v1/t65

Differential charge ratio as a function of the particle-level charged lepton rapidity

• #### Table 66

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_006-d

10.17182/hepdata.93068.v1/t66

Covariance of the differential charge ratio as a function of the particle-level charged lepton rapidity

• #### Table 67

Data from Figure 12, lower row, left column (page 23 of preprint)

10.17182/hepdata.93068.v1/t67

Differential charge ratio as a function of the particle-level W boson $p_\textrm{T}$

• #### Table 68

Data from additional material on analysis webpage: http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-023/index.html#Figure-aux_006-e

10.17182/hepdata.93068.v1/t68

Covariance of the differential charge ratio as a function of the particle-level W boson $p_\textrm{T}$

• #### Table 69

Data from Table 2 (page 24 of preprint)

10.17182/hepdata.93068.v1/t69

Top quark spin asymmetry at the parton level in the muon and electron channel and their combination