The Values of $m_t$ and $\bar{α_s}$ Derived from the Non-Observation of Electroweak Radiative Corrections at LEP: Global Fit

Details The Values of $m_t$ and $\bar{α_s}$ Derived from the Non-Observation of Electroweak Radiative Corrections at LEP: Global Fit The Values of $m_t$ and $\bar{α_s}$ Derived from the Non-Observation of Electroweak Radiative Corrections at LEP: Global Fit

1994-01-26

arxiv.org/abs/hep-ph/9401338v2

Phys.Lett. B331 (1994) 433-440

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex, 15 pages (including 3 figures as EPS files at the end)

Scientific paper

10.1016/0370-2693(94)91076-6

A set of equations representing the $W/Z$ mass ratio and various observables of $Z$ decays in terms of $\bar\alpha \equiv\alpha (m_Z)$, $G_{\mu}$, $m_Z$, $m_t$, $m_H$, $\bar\alpha_{s} \equiv\alpha_{s} (m_Z)$, $m_b$ and $m_\tau$ (all other fermion masses being neglected) are compared with the latest data of the four LEP detectors, which at the level of one standard deviation coincide with their Born values. Our global fit gives: $m_t = 161^{+ 15 +16}_{-16 -22} \bar\alpha_{s} = 0.119 \pm 0.006 \pm 0.002$, where the central values correspond to $m_H = 300$ GeV, the first errors are statistical and the second ones represent shifts of the central values corresponding to $m_H = 1000$ GeV($+$) and 60 GeV($-$). The predicted mass of the top is smaller than in the recent fits by 4 GeV. The {\it predicted} values of $m_W/m_Z$ and the LEP observables, based on the fitted values of $m_t$ and $\bar{\alpha}_s$, show a weak dependence on $m_H$ and differ by several {\it predicted} standard deviations from the corresponding Born values. The uncertainties of the predicted values and their deviations from the corresponding Born values determine the experimental accuracy required to observe electroweak radiative corrections.

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