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The angular distributions of Drell-Yan charged lepton pairs around the$Z$-boson mass peak probe the underlying QCD dynamics of $Z$-boson production.This paper presents a measurement of the complete set of angular coefficients$A_{0-7}$ describing these distributions in the $Z$-boson Collins-Soper frame.The data analysed correspond to 20.3 fb$^{-1}$ of $pp$ collisions at $\sqrt{s}= 8$ TeV, collected by the ATLAS detector at the CERN LHC. The measurements arecompared to the most precise fixed-order calculations currently available($\mathcal{O}(\alpha^{2}_{s})$) and with theoretical predictions embedded inMonte Carlo generators. The measurements are precise enough to probe QCDcorrections beyond the formal accuracy of these calculations and to providediscrimination between different parton-shower models. A significant deviationfrom the $\mathcal{O}(\alpha^{2}_{s})$ predictions is observed for$A_{0}-A_{2}$. Evidence is found for non-zero $A_{5,6,7}$, consistent withexpectations.

the journal of high energy physics/the journal of high energy physics

Measurement of the angular coefficients in $Z$-boson events using  electron and muon pairs from data taken at $\sqrt{s}=8$ TeV with the ATLAS  detector