Precise Measurement of the Left-Right Cross Section Asymmetry inZBoson Production bye+e−Collisions

We present a precise measurement of the left-right cross section asymmetry ([ital A][sub [ital L][ital R]]) for [ital Z] boson production by [ital e][sup +][ital e][sup [minus]] 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[plus minus]1.1)%. Using a sample of 49 392 [ital Z] decays, we measure [ital A][sub [ital L][ital R]] to be 0.1628[plus minus]0.0071(stat)[plus minus]0.0028(syst) which determines the effective weak mixing angle to be sin[sup 2][theta][sub [ital W]][sup eff]=0.2292[plus minus]0.0009(stat) [plus minus]0.0004(syst).