{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.135074.v1/t13","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/2183192"}},{"@id":"https://doi.org/10.1016/j.physletb.2023.137895","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Dataset","author":{"@type":"Organization","name":"ATLAS Collaboration"},"creator":{"@type":"Organization","name":"ATLAS Collaboration"},"datePublished":"2023","description":"Measured fiducial dressed-level cross section for a single leptonic decay channel $\\ell'^\\pm \\nu \\ell^+ \\ell'^-$ of the $W$ and $Z$...","distribution":[{"@type":"DataDownload","contentUrl":"https://www.hepdata.net/download/table/1420518/root","description":"ROOT file","encodingFormat":"https://root.cern"},{"@type":"DataDownload","contentUrl":"https://www.hepdata.net/download/table/1420518/yaml","description":"YAML file","encodingFormat":"https://yaml.org"},{"@type":"DataDownload","contentUrl":"https://www.hepdata.net/download/table/1420518/csv","description":"CSV file","encodingFormat":"text/csv"},{"@type":"DataDownload","contentUrl":"https://www.hepdata.net/download/table/1420518/yoda","description":"YODA file","encodingFormat":"https://yoda.hepforge.org"},{"@type":"DataDownload","contentUrl":"https://www.hepdata.net/download/table/1420518/yoda.h5","description":"YODA.H5 file","encodingFormat":"https://yoda.hepforge.org"}],"identifier":[{"@type":"PropertyValue","propertyID":"HEPDataRecord","value":"https://www.hepdata.net/record/ins2183192?version=1"},{"@type":"PropertyValue","propertyID":"HEPDataRecordAlt","value":"https://www.hepdata.net/record/135074"}],"inLanguage":"en","includedInDataCatalog":{"@id":"https://doi.org/10.17182/hepdata.135074.v1","@type":"DataCatalog","url":"https://www.hepdata.net/record/ins2183192?version=1"},"isPartOf":{"@id":"https://doi.org/10.17182/hepdata.135074.v1","@type":"Dataset","description":"CERN-LHC. Measurements of joint-polarisation states of $W$ and $Z$ gauge bosons in $W^{\\pm}Z$ production are presented.\nThe data set used corresponds to an integrated luminosity of \\mbox{$139$~fb$^{-1}$} of proton\u2013proton collisions at a centre-of-mass energy of $13$~TeV recorded by the ATLAS detector at the CERN Large Hadron Collider.\nThe $W^{\\pm}Z$ candidate events are reconstructed using leptonic decay modes of the gauge bosons into electrons and muons.\nThe simultaneous pair-production of longitudinally polarised vector bosons is measured for the first time with a significance of $7.1$ standard deviations.\nThe measured joint helicity fractions integrated over the fiducial region are $f_{\\mathrm{00}} = 0.067 \\pm 0.010$, $f_{\\mathrm{0T}} = 0.110 \\pm 0.029$, $f_{\\mathrm{T0}} = 0.179 \\pm 0.023$ and $f_{\\mathrm{TT}} = 0.644 \\pm 0.032$, in agreement with the next-to-leading-order Standard Model predictions.\nIndividual helicity fractions of the $W$ and $Z$ bosons are also measured and found to be consistent with joint helicity fractions within\nthe expected amounts of correlation.\nBoth the joint and individual helicity fractions are also measured separately in $W^+Z$ and $W^-Z$ events.\nInclusive and differential cross sections for several kinematic observables sensitive to polarisation are presented.\n\nMeasured differential cross sections are reported in this HEPdata entry.\n\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\nCross sections are reported using kinematics of final-state prompt leptons defined before QED final-state radiation (FSR),\ni.e. Born leptons, or using dressed leptons.\n\nAt particle level, the kinematics of final-state prompt dressed electrons and muons is computed including the contributions from final-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.\n\nFor cross sections using Born leptons, the association of leptons to $W$ or $Z$ bosons is performed using the Powheg Monte Carlo generator.","name":"Observation of gauge boson joint-polarisation states in $W^{\\pm}Z$ production from $pp$ collisions at $\\sqrt{s} = 13$ TeV with the ATLAS detector","url":"https://www.hepdata.net/record/ins2183192?version=1"},"keywords":"P P --> (W+ + W-) Z0 X, DSIG/DCOSTHETASTARZ, 13000.0","name":"Table 13","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/138269","version":1}