{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.83701.v1","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/1720438"}},{"@id":"https://doi.org/10.1140/epjc/s10052-019-7027-6","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Collection","author":{"@type":"Organization","name":"ATLAS Collaboration"},"creator":{"@type":"Organization","name":"ATLAS Collaboration"},"datePublished":"2019","description":"CERN-LHC. This paper presents measurements of $W^{\\pm}Z$ production in $pp$ collisions at a center-of-mass energy of $13$ TeV. The data were collected in 2015 and 2016 by the ATLAS experiment  at the Large Hadron Collider, and correspond to an integrated luminosity of 36.1 fb$^{-1}$. The $W^{\\pm}Z$ candidate events are reconstructed using leptonic decay modes into  electrons and muons of the gauge bosons. The measured inclusive cross section in the detector fiducial region for leptonic decay modes is\n$\\sigma_{W^\\pm Z \\rightarrow \\ell^{'} \\nu \\ell \\ell}^{\\textrm{fid.}} =  63.7  \\, \\pm~1.0~\\textrm{(stat.)} \\, \\pm~2.3~\\textrm{(sys.)} \\, \\pm~0.3~\\textrm{(mod.)} \\, \\pm~1.5~\\textrm{(lumi.)}$ fb, in agreement with the next-to-next-to-leading-order Standard Model prediction of $61.5^{+1.4}_{-1.3}$ fb. Cross sections for $W^+Z$ and $W^-Z$ production and their ratio are presented as well as differential cross sections for several kinematic observables. An analysis of angular distributions of lepton decays of $W$ and $Z$ bosons is performed and integrated helicity fractions in the detector fiducial region are measured for each of the $W$ and $Z$ bosons. The longitudinal polarisation of  pair-produced vector bosons is measured for the first time in  $pp$ collisions.\n\nThe cross sections are measured in a fiducial phase space reflecting the detector acceptance, defined by:\n- $p_{\\mathrm{T}}$ of electrons and muons from Z0 decays > 15 GeV\n- $p_{\\mathrm{T}}$ of electrons and muons from the $W^{\\pm}$ decays > 20 GeV\n- $|\\eta|$ of muons and electrons < 2.5\n- Leptons from the Z0 boson are separated by $\\Delta R(\\ell,\\ell) > 0.2$ from each other\n- Leptons from the Z0 and W bosons are separated by $\\Delta R(\\ell,\\ell) > 0.3$ from each other\n- |dilepton mass - Z0 mass| < 10 GeV\n- $m_{\\mathrm{T}}$ of $W^{\\pm}$ > 30 GeV.\n\n\nAt particle level, the kinematics of final-state prompt electrons and muons is computed including the contributions from \nfinal-state radiated photons within a distance in the ($\\eta,\\phi$) plane of \n$\\Delta R = \\sqrt{(\\Delta\\eta)^2 + (\\Delta\\phi)^2} = 0.1$ around the direction of the charged lepton. \nThese dressed leptons and the final-state neutrinos that do not originate from hadron or $\\tau$ decays  are \nassociated with the $W$ and $Z$ boson decay products with an algorithmic approach, called ``resonant shape''. \nThis algorithm is  based on the value of an estimator expressing the product of the nominal line shapes of \nthe $W$ and $Z$ resonances\n\n   $P = \\left| \\frac{1}{ m^2_{(\\ell^+,\\ell^-)} - \\left(m_Z^{\\textrm{PDG}}\\right)^2 + i \\; \\Gamma_Z^{\\textrm{PDG}} \\; m_Z^{\\textrm{PDG}} } \\right|^2  \\times \\; \\left| \\frac {1} { m^2_{(\\ell',\\nu_{\\ell'})} - \\left(m_W^{\\textrm{PDG}}\\right)^2 + i \\; \\Gamma_W^{\\textrm{PDG}} \\; m_W^{\\textrm{PDG}} } \\right|^2$\n\nwhere $m_Z^{\\textrm{PDG}}$ ($m_W^{\\textrm{PDG}}$) and $\\Gamma_Z^{\\textrm{PDG}}$ ($\\Gamma_W^{\\textrm{PDG}}$) are the \nworld average mass and total width of the $Z$ ($W$) boson, respectively, as reported by the Particle Data Group. \nThe input to the estimator is the invariant mass $m$ of all possible pairs ($\\ell^+,\\ell^-$) and\n($\\ell',\\nu_{\\ell'}$) satisfying the fiducial selection requirements. \nThe final choice of which leptons are assigned to the $W$ or $Z$ bosons corresponds to the configuration \nexhibiting the highest value of the estimator.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t1","@type":"Dataset","description":"The measured $W^{\\pm}Z$ fiducial cross section in the four channels and their combination. The first systematic uncertainty is the combined...","name":"Table 1"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t2","@type":"Dataset","description":"The measured $W^{+}Z$ fiducial cross section in the four channels and their combination. The first systematic uncertainty is the combined...","name":"Table 2"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t3","@type":"Dataset","description":"The measured $W^{-}Z$ fiducial cross section in the four channels and their combination. The first systematic uncertainty is the combined...","name":"Table 3"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t4","@type":"Dataset","description":"The measured fiducial cross sections are corrected to the dressed level. The ratio of $C_{WZ}^{\\textrm{dressed}}/C_{WZ}^{\\textrm{Born}}$ factors presented in this table...","name":"Table 4"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t5","@type":"Dataset","description":"Ratio of fiducial cross sections measured for $W^{+} Z$ and $W^{-} Z$ production.","name":"Table 5"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t6","@type":"Dataset","description":"Cross section extrapolated to total phase space and all W and Z boson decays. The first systematic uncertainty is the...","name":"Table 6"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t7","@type":"Dataset","description":"The total cross section is measured at dressed level and can also be corrected to Born level use this acceptance...","name":"Table 7"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t8","@type":"Dataset","description":"Measured fiducial cross section for a single leptonic decay channel $\\ell'^\\pm \\nu \\ell^+ \\ell'^-$ of the $W The relative uncertainties...","name":"Table 8"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t9","@type":"Dataset","description":"Correlation matrix for the unfolded cross section.","name":"Table 9"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t10","@type":"Dataset","description":"Measured fiducial cross section for a single leptonic decay channel $\\ell'^\\pm \\nu \\ell^+ \\ell'^-$ of the $W The relative uncertainties...","name":"Table 10"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t11","@type":"Dataset","description":"Correlation matrix for the unfolded cross section.","name":"Table 11"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t12","@type":"Dataset","description":"Measured fiducial cross section for a single leptonic decay channel $\\ell'^\\pm \\nu \\ell^+ \\ell'^-$ of the $W The relative uncertainties...","name":"Table 12"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t13","@type":"Dataset","description":"Correlation matrix for the unfolded cross section.","name":"Table 13"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t14","@type":"Dataset","description":"Measured fiducial cross section for a single leptonic decay channel $\\ell'^\\pm \\nu \\ell^+ \\ell'^-$ of the $W The relative uncertainties...","name":"Table 14"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t15","@type":"Dataset","description":"Correlation matrix for the unfolded cross section.","name":"Table 15"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t16","@type":"Dataset","description":"Measured fiducial cross section for a single leptonic decay channel $\\ell'^\\pm \\nu \\ell^+ \\ell'^-$ of the $W The relative uncertainties...","name":"Table 16"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t17","@type":"Dataset","description":"Correlation matrix for the unfolded cross section.","name":"Table 17"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t18","@type":"Dataset","description":"Measured fiducial cross section for a single leptonic decay channel $\\ell'^\\pm \\nu \\ell^+ \\ell'^-$ of the $W The relative uncertainties...","name":"Table 18"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t19","@type":"Dataset","description":"Correlation matrix for the unfolded cross section.","name":"Table 19"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t20","@type":"Dataset","description":"Measured fiducial cross section for a single leptonic decay channel $\\ell'^\\pm \\nu \\ell^+ \\ell'^-$ of the $W The relative uncertainties...","name":"Table 20"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t21","@type":"Dataset","description":"Correlation matrix for the unfolded cross section.","name":"Table 21"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t22","@type":"Dataset","description":"Measured fiducial cross section for a single leptonic decay channel $\\ell'^\\pm \\nu \\ell^+ \\ell'^-$ of the $W The relative uncertainties...","name":"Table 22"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t23","@type":"Dataset","description":"Correlation matrix for the unfolded cross section.","name":"Table 23"},{"@id":"https://doi.org/10.17182/hepdata.83701.v1/t24","@type":"Dataset","description":"5: Measured helicity fractions in the fiducial phase space with Born level leptons, for $W^-$, $W^+Z$ and $W^{\\pm}Z$ events. The...","name":"Table 24"}],"identifier":[{"@type":"PropertyValue","propertyID":"HEPDataRecord","value":"https://www.hepdata.net/record/ins1720438?version=1"},{"@type":"PropertyValue","propertyID":"HEPDataRecordAlt","value":"https://www.hepdata.net/record/83701"}],"inLanguage":"en","name":"Measurement of $W^{\\pm}Z$ production cross sections and gauge boson polarisation in $pp$ collisions at $\\sqrt{s} = 13$ TeV with the ATLAS detector","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/ins1720438?version=1","version":1}