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
This paper reports on the final electroweak measurements performed using data from electron-positron colliders SLC and LEP, focusing on the Z resonance. The data consist of 17 million Z decays from the ALEPH, DELPHI, L3, and OPAL experiments at LEP, and 600 thousand Z decays from the SLD experiment using a polarized beam at SLC. The measurements include cross-sections, forward-backward asymmetries, and polarized asymmetries. The precise values of the Z boson's mass ($m_Z$) and width ($\Gamma_Z$), as well as its couplings to fermions, such as the $\rho$ parameter and the effective electroweak mixing angle for leptons, are reported: - $m_Z = 91.1875 \pm 0.0021 \text{ GeV}$ - $\Gamma_Z = 2.4952 \pm 0.0023 \text{ GeV}$ - $\rho_\ell = 1.0050 \pm 0.0010$ - $\sin^2 \theta_{\text{eff}}^\ell = 0.23153 \pm 0.00016$ The number of light neutrino species is determined to be $2.9840 \pm 0.0082$, consistent with the observed three generations of fundamental fermions. The results are compared to the predictions of the Standard Model, showing agreement within the limits of the measurements. Radiative corrections beyond the running of the QED and QCD coupling constants are observed with a significance of five standard deviations. The forward-backward asymmetry in b-quark production shows the largest deviation from the Standard Model expectation, at 2.8 standard deviations. The Z-pole data are also used to predict the masses of the top quark ($m_t = 173_{-10}^{+13} \text{ GeV}$) and the W boson ($m_W = 80.363 \pm 0.032 \text{ GeV}$), providing stringent tests of the Standard Model. Using direct measurements of $m_t$ and $m_W$, the mass of the Higgs boson is predicted to be less than 285 GeV at the 95% confidence level.This paper reports on the final electroweak measurements performed using data from electron-positron colliders SLC and LEP, focusing on the Z resonance. The data consist of 17 million Z decays from the ALEPH, DELPHI, L3, and OPAL experiments at LEP, and 600 thousand Z decays from the SLD experiment using a polarized beam at SLC. The measurements include cross-sections, forward-backward asymmetries, and polarized asymmetries. The precise values of the Z boson's mass ($m_Z$) and width ($\Gamma_Z$), as well as its couplings to fermions, such as the $\rho$ parameter and the effective electroweak mixing angle for leptons, are reported: - $m_Z = 91.1875 \pm 0.0021 \text{ GeV}$ - $\Gamma_Z = 2.4952 \pm 0.0023 \text{ GeV}$ - $\rho_\ell = 1.0050 \pm 0.0010$ - $\sin^2 \theta_{\text{eff}}^\ell = 0.23153 \pm 0.00016$ The number of light neutrino species is determined to be $2.9840 \pm 0.0082$, consistent with the observed three generations of fundamental fermions. The results are compared to the predictions of the Standard Model, showing agreement within the limits of the measurements. Radiative corrections beyond the running of the QED and QCD coupling constants are observed with a significance of five standard deviations. The forward-backward asymmetry in b-quark production shows the largest deviation from the Standard Model expectation, at 2.8 standard deviations. The Z-pole data are also used to predict the masses of the top quark ($m_t = 173_{-10}^{+13} \text{ GeV}$) and the W boson ($m_W = 80.363 \pm 0.032 \text{ GeV}$), providing stringent tests of the Standard Model. Using direct measurements of $m_t$ and $m_W$, the mass of the Higgs boson is predicted to be less than 285 GeV at the 95% confidence level.
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