Measurement of the $\tau$ lepton polarization in Z boson decays in proton-proton collisions at $\sqrt{s}$ = 13 TeV

Author:

CMS Collaboration

Keyword:

High Energy Physics - Experiment, High Energy Physics - Experiment (hep-ex)

journal:

CMS-SMP-18-010, CERN-EP-2023-169

date:

2023-09-20 16:00:00

Abstract

The polarization of $\tau$ leptons is measured using leptonic and hadronic $\tau$ lepton decays in Z $\to\tau^+\tau^-$ events in proton-proton collisions at $\sqrt{s}$ = 13 TeV recorded by CMS at the CERN LHC with an integrated luminosity of 36.3 fb$^{-1}$. The measured $\tau^-$ polarization at the Z boson mass pole is $\mathcal{P}_{\tau}$(Z) = $-$0.144$\pm$0.006 (stat) $\pm$ 0.014 (syst) = $-$0.144$\pm$0.015, in good agreement with the measurement of the $\tau$ lepton asymmetry parameter of $A_{\tau}$ = 0.1439$\pm$0.0043 = $-\mathcal{P}_{\tau}$(Z) at LEP. The $\tau$ polarization depends on the ratio of the vector to axial-vector couplings of the $\tau$ leptons in the neutral current expression, and thus on the effective weak mixing angle $\sin^{2}\theta_\mathrm{W}^{\text{eff}}$, independently of the Z boson production mechanism. The obtained value $\sin^{2}\theta_\mathrm{W}^{\text{eff}}$ = 0.2319$\pm$0.0008 (stat) $\pm$ 0.0018 (syst) = 0.2319$\pm$0.0019 is in good agreement with measurements at e$^+$e$^-$ colliders.

PDF: Measurement of the $\tau$ lepton polarization in Z boson decays in proton-proton collisions at $\sqrt{s}$ = 13 TeV.pdf