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Determination of Electroweak Parameters at the SLC


We present an improved measurement of the left-right cross section asymmetry ($A_{LR}$) for $Z$ boson production by $e^+e^-$ collisions. The measurement was performed at a center-of-mass energy of 91.28 GeV with the SLD detector at the SLAC Linear Collider (SLC) during the 1994-95 running period. The luminosity-weighted average polarization of the SLC electron beam during this run was measured to be (77.23$\pm$0.52)%. Using a sample of 93,644 hadronic $Z^0$ decays, we measure the pole asymmetry $A^{0}_{LR}$ to be 0.1512$\pm 0.0042(stat.)$\pm 0.0011(syst.) which is equivalent to an effective weak mixing angle of 0.23100$\pm 0.00054(stat.)$\pm 0.00014(syst.). We also present a preliminary direct measurement of the $Z^0$-lepton coupling asymmetries $A_e,A_\mu$, and $A_\tau$ extracted from the differential cross section observed in leptonic $Z^0$ decays. We combine these results with our previous $A_{LR}$ measurement to obtain a combined determination of the weak mixing angle of 0.23061$\pm 0.00047.

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