Measurement of the τ lepton polarization in Z boson decays in proton-proton collisions at $$ \sqrt{s} $$ = 13 TeV
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The polarization of τ leptons is measured using leptonic and hadronic τ lepton decays in Z → τ$$^{+}$$τ$$^{−}$$ 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 τ$$^{−}$$ lepton polarization at the Z boson mass pole is $$ {\mathcal{P}}_{\tau}\left(\textrm{Z}\right) $$ = −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 A$$_{τ}$$ = 0.1439 ± 0.0043 = $$ -{\mathcal{P}}_{\tau}\left(\textrm{Z}\right) $$ 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 sin$$^{2} {\theta}_{\textrm{W}}^{\textrm{eff}} $$, independently of the Z boson production mechanism. The obtained value sin$$^{2} {\theta}_{\textrm{W}}^{\textrm{eff}} $$ = 0.2319 ± 0.0008(stat) ± 0.0018(syst) = 0.2319 ± 0.0019 is in good agreement with measurements at e$$^{+}$$e$$^{−}$$ colliders.[graphic not available: see fulltext]
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- Sponsoring Organization:
- US Department of Energy
- Grant/Contract Number:
- 89243024CSC000002; AC02-07CH11359
- OSTI ID:
- 2007220
- Report Number(s):
- CERN-EP-2023-169; CMS-SMP-18-010; FERMILAB-PUB-23-559-CMS; oai:inspirehep.net:2702153; arXiv:2309.12408
- Journal Information:
- JHEP, Journal Name: JHEP Vol. 01
- Country of Publication:
- United States
- Language:
- English
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