Precision Electroweak Measurements on the Z Resonance

Precision Electroweak Measurements on the Z Resonance

20 February 2006 | The ALEPH, DELPHI, L3, OPAL, SLD Collaborations, the LEP Electroweak Working Group, the SLD Electroweak and Heavy Flavour Groups
The final electroweak measurements at the Z resonance, conducted by the ALEPH, DELPHI, L3, OPAL, and SLD collaborations using data from the LEP and SLC colliders, provide precise values for the Z boson mass, width, and couplings to fermions. The Z boson mass is measured as $ m_Z = 91.1875 \pm 0.0021 $ GeV, and its width as $ \Gamma_Z = 2.4952 \pm 0.0023 $ GeV. The effective electroweak mixing angle for leptons is $ \sin^2 \theta_{\text{eff}}^{\text{lept}} = 0.23153 \pm 0.00016 $, and the $ \rho $ parameter is $ \rho_\ell = 1.0050 \pm 0.0010 $. The number of light neutrino species is determined to be $ 2.9840 \pm 0.0082 $, consistent with three generations of fundamental fermions. These results are compared to the Standard Model (SM) predictions. Electroweak radiative corrections beyond the running of QED and QCD coupling constants are observed with a significance of five standard deviations, in agreement with the SM. The forward-backward asymmetry in b-quark production shows the largest deviation from the SM expectation, at the level of 2.8 standard deviations. The Z-pole data are used to predict the top quark mass as $ m_t = 173_{-10}^{+13} $ GeV and the W boson mass as $ m_W = 80.363 \pm 0.032 $ GeV. These indirect constraints are compared to direct measurements, providing a stringent test of the SM. Using direct measurements of $ m_t $ and $ m_W $, the mass of the Higgs boson is predicted with a relative uncertainty of about 50% and found to be less than 285 GeV at 95% confidence level. The results are compared to SM predictions, and the data are used to determine the effective couplings of the neutral weak current, the Z boson properties, and the electroweak mixing angle. The measurements include cross-sections, forward-backward asymmetries, and polarized asymmetries. The data from LEP and SLC are used to determine the Z boson parameters with high precision, and the results are consistent with the SM. The precision of the measurements allows for the first time the SM predictions to be probed at the loop level, demonstrating the SM's validity at high energies. The results also provide constraints on higher-order electrowThe final electroweak measurements at the Z resonance, conducted by the ALEPH, DELPHI, L3, OPAL, and SLD collaborations using data from the LEP and SLC colliders, provide precise values for the Z boson mass, width, and couplings to fermions. The Z boson mass is measured as $ m_Z = 91.1875 \pm 0.0021 $ GeV, and its width as $ \Gamma_Z = 2.4952 \pm 0.0023 $ GeV. The effective electroweak mixing angle for leptons is $ \sin^2 \theta_{\text{eff}}^{\text{lept}} = 0.23153 \pm 0.00016 $, and the $ \rho $ parameter is $ \rho_\ell = 1.0050 \pm 0.0010 $. The number of light neutrino species is determined to be $ 2.9840 \pm 0.0082 $, consistent with three generations of fundamental fermions. These results are compared to the Standard Model (SM) predictions. Electroweak radiative corrections beyond the running of QED and QCD coupling constants are observed with a significance of five standard deviations, in agreement with the SM. The forward-backward asymmetry in b-quark production shows the largest deviation from the SM expectation, at the level of 2.8 standard deviations. The Z-pole data are used to predict the top quark mass as $ m_t = 173_{-10}^{+13} $ GeV and the W boson mass as $ m_W = 80.363 \pm 0.032 $ GeV. These indirect constraints are compared to direct measurements, providing a stringent test of the SM. Using direct measurements of $ m_t $ and $ m_W $, the mass of the Higgs boson is predicted with a relative uncertainty of about 50% and found to be less than 285 GeV at 95% confidence level. The results are compared to SM predictions, and the data are used to determine the effective couplings of the neutral weak current, the Z boson properties, and the electroweak mixing angle. The measurements include cross-sections, forward-backward asymmetries, and polarized asymmetries. The data from LEP and SLC are used to determine the Z boson parameters with high precision, and the results are consistent with the SM. The precision of the measurements allows for the first time the SM predictions to be probed at the loop level, demonstrating the SM's validity at high energies. The results also provide constraints on higher-order electrow
Reach us at info@study.space