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Precise Measurement of the Left-Right Cross Section Asymmetry in Z Boson Production by e+e- Collisions


We present a precise 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 91.26 GeV with the SLD detector at the SLAC Linear Collider (SLC). The luminosity-weighted average polarization of the SLC electron beam was (63.0$\pm$1.1)\%. Using a sample of 49,392 $Z^0$ decays, we measure $A_{LR}$ to be 0.1628$\pm0.0071(stat.)\pm$0.0028(syst.) which determines the effective weak mixing angle to be $\theta_W^{eff}$=0.2292$\pm0.0009({\rm stat.})\pm0.0004({\rm syst.})$.

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