Measurement of the forward-backward charge asymmetry in the reaction e{sup +}e{sup -} {yields} qq near the Z-resonance

The forward-backward asymmetry of the reaction e{sup +}e{sup {minus}} {yields} qq has been measured at and around the z-resonance using the L3 detector at CERN-LEP accelerator. The analysis is based on a statistical weighting method using the three most energetic charged particles in each hemisphere. From the asymmetries obtained the authors derive the weak mixing angle and its energy dependence. Systematic effects arising from the event selection, the fragmentation processes and the Monte Carlo modeling are discussed.