{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.93068.v1","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/1744604"}},{"@id":"https://doi.org/10.1140/epjc/s10052-020-7858-1","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Collection","author":{"@type":"Organization","name":"CMS Collaboration"},"creator":{"@type":"Organization","name":"CMS Collaboration"},"datePublished":"2020","description":"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.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t1","@type":"Dataset","description":"Differential absolute cross section as a function of the parton-level top quark $p_\\textrm{T}$","name":"Table 1"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t2","@type":"Dataset","description":"Covariance of the differential absolute cross section as a function of the parton-level top quark $p_\\textrm{T}$","name":"Table 2"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t3","@type":"Dataset","description":"Differential absolute cross section as a function of the parton-level top quark rapidity","name":"Table 3"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t4","@type":"Dataset","description":"Covariance of the differential absolute cross section as a function of the parton-level top quark rapidity","name":"Table 4"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t5","@type":"Dataset","description":"Differential absolute cross section as a function of the parton-level charged lepton $p_\\textrm{T}$","name":"Table 5"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t6","@type":"Dataset","description":"Covariance of the differential absolute cross section as a function of the parton-level charged lepton $p_\\textrm{T}$","name":"Table 6"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t7","@type":"Dataset","description":"Differential absolute cross section as a function of the parton-level charged lepton rapidity","name":"Table 7"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t8","@type":"Dataset","description":"Covariance of the differential absolute cross section as a function of the parton-level charged lepton rapidity","name":"Table 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section as a function of the particle-level top quark $p_\\textrm{T}$","name":"Table 13"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t14","@type":"Dataset","description":"Covariance of the differential absolute cross section as a function of the particle-level top quark $p_\\textrm{T}$","name":"Table 14"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t15","@type":"Dataset","description":"Differential absolute cross section as a function of the particle-level top quark rapidity","name":"Table 15"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t16","@type":"Dataset","description":"Covariance of the differential absolute cross section as a function of the particle-level top quark rapidity","name":"Table 16"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t17","@type":"Dataset","description":"Differential absolute cross section as a function of the particle-level charged lepton $p_\\textrm{T}$","name":"Table 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section as a function of the particle-level W boson $p_\\textrm{T}$","name":"Table 22"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t23","@type":"Dataset","description":"Differential absolute cross section as a function of the particle-level cosine of the top quark polarisation angle","name":"Table 23"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t24","@type":"Dataset","description":"Covariance of the differential absolute cross section as a function of the particle-level cosine of the top quark polarisation angle","name":"Table 24"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t25","@type":"Dataset","description":"Differential normalised cross section as a function of the parton-level top quark $p_\\textrm{T}$","name":"Table 25"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t26","@type":"Dataset","description":"Covariance of the differential normalised cross section as a function of the parton-level top quark $p_\\textrm{T}$","name":"Table 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of the parton-level charged lepton rapidity","name":"Table 31"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t32","@type":"Dataset","description":"Covariance of the differential normalised cross section as a function of the parton-level charged lepton rapidity","name":"Table 32"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t33","@type":"Dataset","description":"Differential normalised cross section as a function of the parton-level W boson $p_\\textrm{T}$","name":"Table 33"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t34","@type":"Dataset","description":"Covariance of the differential normalised cross section as a function of the parton-level W boson $p_\\textrm{T}$","name":"Table 34"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t35","@type":"Dataset","description":"Differential normalised cross section as a function of the parton-level cosine of the top quark polarisation angle","name":"Table 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normalised cross section as a function of the particle-level top quark rapidity","name":"Table 40"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t41","@type":"Dataset","description":"Differential normalised cross section as a function of the particle-level charged lepton $p_\\textrm{T}$","name":"Table 41"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t42","@type":"Dataset","description":"Covariance of the differential normalised cross section as a function of the particle-level charged lepton $p_\\textrm{T}$","name":"Table 42"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t43","@type":"Dataset","description":"Differential normalised cross section as a function of the particle-level charged lepton rapidity","name":"Table 43"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t44","@type":"Dataset","description":"Covariance of the differential normalised cross section as a function of the particle-level charged lepton rapidity","name":"Table 44"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t45","@type":"Dataset","description":"Differential normalised cross section as a function of the particle-level W boson $p_\\textrm{T}$","name":"Table 45"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t46","@type":"Dataset","description":"Covariance of the differential normalised cross section as a function of the particle-level W boson $p_\\textrm{T}$","name":"Table 46"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t47","@type":"Dataset","description":"Differential normalised cross section as a function of the particle-level cosine of the top quark polarisation angle","name":"Table 47"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t48","@type":"Dataset","description":"Covariance of the differential normalised cross section as a function of the particle-level cosine of the top quark polarisation angle","name":"Table 48"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t49","@type":"Dataset","description":"Differential charge ratio as a function of the parton-level top quark $p_\\textrm{T}$","name":"Table 49"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t50","@type":"Dataset","description":"Covariance of the differential charge ratio as a function of the parton-level top quark $p_\\textrm{T}$","name":"Table 50"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t51","@type":"Dataset","description":"Differential charge ratio as a function of the parton-level top quark rapidity","name":"Table 51"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t52","@type":"Dataset","description":"Covariance of the differential charge ratio as a function of the parton-level top quark rapidity","name":"Table 52"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t53","@type":"Dataset","description":"Differential charge ratio as a function of the parton-level charged lepton $p_\\textrm{T}$","name":"Table 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lepton $p_\\textrm{T}$","name":"Table 63"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t64","@type":"Dataset","description":"Covariance of the differential charge ratio as a function of the particle-level charged lepton $p_\\textrm{T}$","name":"Table 64"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t65","@type":"Dataset","description":"Differential charge ratio as a function of the particle-level charged lepton rapidity","name":"Table 65"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t66","@type":"Dataset","description":"Covariance of the differential charge ratio as a function of the particle-level charged lepton rapidity","name":"Table 66"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t67","@type":"Dataset","description":"Differential charge ratio as a function of the particle-level W boson $p_\\textrm{T}$","name":"Table 67"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t68","@type":"Dataset","description":"Covariance of the differential charge ratio as a function of the particle-level W boson $p_\\textrm{T}$","name":"Table 68"},{"@id":"https://doi.org/10.17182/hepdata.93068.v1/t69","@type":"Dataset","description":"Top quark spin asymmetry at the parton level in the muon and electron channel and their combination","name":"Table 69"}],"identifier":[{"@type":"PropertyValue","propertyID":"HEPDataRecord","value":"https://www.hepdata.net/record/ins1744604?version=1"},{"@type":"PropertyValue","propertyID":"HEPDataRecordAlt","value":"https://www.hepdata.net/record/93068"}],"inLanguage":"en","name":"Measurement of differential cross sections and charge ratios for $t$-channel single top quark production in proton-proton collisions at $\\sqrt{s}=$ 13 TeV","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/ins1744604?version=1","version":1}