{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.149992.v1","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/2762099"}},{"@id":"https://doi.org/10.1103/PhysRevLett.133.101802","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Collection","author":{"@type":"Organization","name":"ATLAS Collaboration"},"creator":{"@type":"Organization","name":"ATLAS Collaboration"},"datePublished":"2024","description":"CERN-LHC.  This Letter presents the first study of the energy-dependence of diboson polarization fractions in $WZ \\rightarrow \\ell\\nu \\ell'\\ell'~(\\ell, \\ell'=e, \\mu)$ production. The data set used corresponds to an integrated luminosity of 140 fb$^{-1}$ of proton-proton collisions at a center-of-mass energy of 13 TeV recorded by the ATLAS detector. Two fiducial regions with an enhanced presence of events featuring two longitudinally-polarized bosons are defined. A non-zero fraction of events with two longitudinally-polarized bosons is measured with an observed significance of 5.3 standard deviations in the region with $100<p_T^Z\\leq200$ GeV and 1.6 standard deviations in the region with $p_T^Z>200$ GeV, where $p_T^Z$ is the transverse momentum of the $Z$ boson. This Letter also reports the first study of the Radiation Amplitude Zero effect. Events with two transversely-polarized bosons are analyzed for the $\\Delta Y(\\ell_W Z)$ and $\\Delta Y(WZ)$ distributions defined respectively as the rapidity difference between the lepton from the $W$ boson decay and the $Z$ boson and the rapidity difference between the $W$ boson and the $Z$ boson. Significant suppression of events near zero is observed in both distributions. Unfolded $\\Delta Y(\\ell_W Z)$ and $\\Delta Y(WZ)$ distributions are also measured and compared to theoretical predictions.\n\n\nFiducial phase space definition for the measurement:\n - $p_{\\mathrm{T}}$ of electrons and muons from $Z$ 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 $Z$ boson are separated by $\\Delta R(\\ell,\\ell) > 0.2$ from each other\n - Leptons from the $Z$ and W bosons are separated by $\\Delta R(\\ell,\\ell) > 0.3$ from each other\n - |dilepton mass - $Z$ mass| < 10 GeV\n - $m_{\\mathrm{T}}$ of $W^{\\pm}$ > 30 GeV.\n - $p_{\\mathrm{T}}$ of jets > 30 GeV\n - $|\\eta|$ of jets < 4.5.\n \n In the RAZ measurement, three signal regions are defined:\n -$p_{\\mathrm{T}}^{WZ}$ < 20, 40, 70 GeV. \n In the $WZ$ polarization fraction measurement, two signal regions are defined:\n -$p_{\\mathrm{T}}^{WZ}$ < 70 GeV && $p_{\\mathrm{T}}^{Z}$ > 200 GeV, \n -$p_{\\mathrm{T}}^{WZ}$ < 70 GeV && 100 < $p_{\\mathrm{T}}^{Z} \\leq$ 200 GeV\n\n\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 $\\Delta R = \\sqrt{(\\Delta\\eta)^2 + (\\Delta\\phi)^2} = 0.1$ 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 associated with the $W$ and $Z$ boson decay products with an\nalgorithmic approach, called ``resonant shape''.\nThis algorithm is  based on the value of an estimator expressing\n   the product of the nominal line shapes of the $W$ 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 world average mass and total width of the $Z$ ($W$) boson, respectively, as reported by the Particle Data Group \\cite{Agashe:2014kda}.\nThe input to the estimator is the invariant mass $m$ of all possible pairs ($\\ell^+,\\ell^-$) and ($\\ell',\\nu_{\\ell'}$)\nsatisfying the fiducial selection requirements defined in the next paragraph.\nThe final choice of which leptons are assigned to the $W$ or $Z$ bosons corresponds to the configuration  exhibiting the highest  value of the estimator.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t1","@type":"Dataset","description":"Polarization fractions in the region with $100<p_T^Z\\leq200$ GeV using three unconstrained parameters.","name":"Table 1"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t2","@type":"Dataset","description":"Polarization fractions in the region with $p_T^Z>200$ GeV using three unconstrained parameters.","name":"Table 2"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t3","@type":"Dataset","description":"Fraction of events where both bosons are longitudinally polarized in the region with $100<p_T^Z\\leq200$ GeV using two unconstrained parameters.","name":"Table 3"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t4","@type":"Dataset","description":"Fraction of events where both bosons are longitudinally polarized in the region with $p_T^Z>200$ GeV using two unconstrained parameters.","name":"Table 4"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t5","@type":"Dataset","description":"Numbers of observed and expected events in the 00-enhanced signal regions, before the fit. The total uncertainties are quoted.","name":"Table 5"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t6","@type":"Dataset","description":"Summary of the relative uncertainties in the measured longitudinal-longitudinal fractions $f_{00}$. The uncertainties are reported as percentages.","name":"Table 6"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t7","@type":"Dataset","description":"Numbers of observed and expected events in the 00-enhanced signal regions, after the fit. The total uncertainties are quoted.","name":"Table 7"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t8","@type":"Dataset","description":"$|\\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 20$ GeV of the TT state.","name":"Table 8"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t9","@type":"Dataset","description":"$|\\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 40$ GeV of the TT state.","name":"Table 9"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t10","@type":"Dataset","description":"$|\\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 70$ GeV of the TT state.","name":"Table 10"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t11","@type":"Dataset","description":"$|\\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 20$ GeV of of the sum of all polarization.","name":"Table 11"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t12","@type":"Dataset","description":"$|\\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 40$ GeV of of the sum of all polarization.","name":"Table 12"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t13","@type":"Dataset","description":"$|\\Delta Y(l_{W}Z)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 70$ GeV of of the sum of all polarization.","name":"Table 13"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t14","@type":"Dataset","description":"$|\\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 20$ GeV of the TT state.","name":"Table 14"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t15","@type":"Dataset","description":"$|\\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 40$ GeV of the TT state.","name":"Table 15"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t16","@type":"Dataset","description":"$|\\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 70$ GeV of the TT state.","name":"Table 16"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t17","@type":"Dataset","description":"$|\\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 20$ GeV of of the sum of all polarization.","name":"Table 17"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t18","@type":"Dataset","description":"$|\\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 40$ GeV of of the sum of all polarization.","name":"Table 18"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t19","@type":"Dataset","description":"$|\\Delta Y(WZ)|$ Migration matrix RAZ Region $p_{T}^{WZ}< 70$ GeV of of the sum of all polarization.","name":"Table 19"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t20","@type":"Dataset","description":"The $\\mathcal{D}$ value for the unfolded $|\\Delta Y(l_{W}Z)|$ distributions of the TT polarization state as a function of the $p_T^{WZ}$...","name":"Table 20"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t21","@type":"Dataset","description":"The $\\mathcal{D}$ value for the unfolded $|\\Delta Y(WZ)|$ distributions of the TT polarization state as a function of the $p_T^{WZ}$...","name":"Table 21"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t22","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(l_{W}Z)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 20$ GeV. The total uncertainties...","name":"Table 22"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t23","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(l_{W}Z)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 40$ GeV. The total uncertainties...","name":"Table 23"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t24","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(l_{W}Z)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 70$ GeV. The total uncertainties...","name":"Table 24"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t25","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(WZ)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 20$ GeV. The total uncertainties...","name":"Table 25"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t26","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(WZ)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 40$ GeV. The total uncertainties...","name":"Table 26"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t27","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(WZ)|$ cross-section of the TT state in the RAZ Region $p_{T}^{WZ}< 70$ GeV. The total uncertainties...","name":"Table 27"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t28","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(l_{W}Z)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 20$ GeV. The...","name":"Table 28"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t29","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(l_{W}Z)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 40$ GeV. The...","name":"Table 29"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t30","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(l_{W}Z)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 70$ GeV. The...","name":"Table 30"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t31","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(WZ)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 20$ GeV. The...","name":"Table 31"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t32","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(WZ)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 40$ GeV. The...","name":"Table 32"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t33","@type":"Dataset","description":"Measured normalized differential $|\\Delta Y(WZ)|$ cross-section of the sum of polarization states in the RAZ Region $p_{T}^{WZ}< 70$ GeV. The...","name":"Table 33"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t34","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<20$ GeV using...","name":"Table 34"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t35","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<40$ GeV using...","name":"Table 35"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t36","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<70$ GeV using...","name":"Table 36"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t37","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<20$ GeV using...","name":"Table 37"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t38","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<40$ GeV using...","name":"Table 38"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t39","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the TT state in the RAZ Region $p_{T}^{WZ}<70$ GeV using...","name":"Table 39"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t40","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<20$...","name":"Table 40"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t41","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<40$...","name":"Table 41"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t42","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<70$...","name":"Table 42"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t43","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<20$...","name":"Table 43"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t44","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<40$...","name":"Table 44"},{"@id":"https://doi.org/10.17182/hepdata.149992.v1/t45","@type":"Dataset","description":"Summary of the relative uncertainties in the measured depth of the sum of polarization states in the RAZ Region $p_{T}^{WZ}<70$...","name":"Table 45"}],"identifier":[{"@type":"PropertyValue","propertyID":"HEPDataRecord","value":"https://www.hepdata.net/record/ins2762099?version=1"},{"@type":"PropertyValue","propertyID":"HEPDataRecordAlt","value":"https://www.hepdata.net/record/149992"}],"inLanguage":"en","name":"Studies of the energy dependence of diboson polarization fractions and the Radiation Amplitude Zero effect in WZ production with the ATLAS detector","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/ins2762099?version=1","version":1}