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This paper presents a measurement of the polarisation of $\tau$ leptonsproduced in $Z/\gamma^{*}\rightarrow\tau\tau$ decays which is performed with adataset of proton-proton collisions at $\sqrt{s}=8$ TeV, corresponding to anintegrated luminosity of 20.2 fb$^{-1}$ recorded with the ATLAS detector at theLHC in 2012. The $Z/\gamma^{*}\rightarrow\tau\tau$ decays are reconstructedfrom a hadronically decaying $\tau$ lepton with a single charged particle inthe final state, accompanied by a $\tau$ lepton that decays leptonically. The$\tau$ polarisation is inferred from the relative fraction of energy carried bycharged and neutral hadrons in the hadronic $\tau$ decays. The polarisation ismeasured in a fiducial region that corresponds to the kinematic regionaccessible to this analysis. The $\tau$ polarisation extracted over the fullphase space within the $Z/\gamma^{*}$ mass range of 66$ < m_{Z/\gamma^{*}} < $116 GeV is found to be $P_{\tau} =-0.14 \pm 0.02 (\text{stat}) \pm 0.04(\text{syst})$. It is in agreement with the Standard Model prediction of$P_{\tau} =-0.1517 \pm 0.0019$, which is obtained from the ALPGEN eventgenerator interfaced with the PYTHIA 6 parton shower modelling and the TAUOLA$\tau$ decay library.

european physical journal. c, particles and fields

Measurement of $\tau$ polarisation in $Z/\gamma^{*}\rightarrow\tau\tau$  decays in proton-proton collisions at $\sqrt{s}=8$ TeV with the ATLAS  detector