Measurement of the τ lepton polarization in Z boson decays in proton-proton collisions at √𝑠� = 13 TeV

Abstract

The polarization of τ leptons is measured using leptonic and hadronic τ lepton decays in Z → τ+τ− events in proton-proton collisions at

s

$$ \sqrt{s} $$ = 13 TeV recorded by CMS at the CERN LHC with an integrated luminosity of 36.3 fb−1. The measured τ− lepton polarization at the Z boson mass pole is

P τ

Z

$$ {\mathcal{P}}_{\tau}\left(\textrm{Z}\right) $$ = −0.144 ± 0.006 (stat) ± 0.014 (syst) = −0.144 ± 0.015, in good agreement with the measurement of the τ lepton asymmetry parameter of Aτ = 0.1439 ± 0.0043 =

−

P τ

Z

$$ -{\mathcal{P}}_{\tau}\left(\textrm{Z}\right) $$ at LEP. The τ lepton polarization depends on the ratio of the vector to axial-vector couplings of the τ leptons in the neutral current expression, and thus on the effective weak mixing angle sin2

θ W eff

$$ {\theta}_{\textrm{W}}^{\textrm{eff}} $$ , independently of the Z boson production mechanism. The obtained value sin2

θ W eff

$$ {\theta}_{\textrm{W}}^{\textrm{eff}} $$ = 0.2319 ± 0.0008(stat) ± 0.0018(syst) = 0.2319 ± 0.0019 is in good agreement with measurements at e+e− colliders.