Based on a sample of four million events collected by ALEPH from 1991 to 1995, a measurement of the forward-backward asymmetry in Z→bb¯ decays using inclusive final states is presented. High-performance tagging of bb¯ events in a wide angular range is achieved using neural network techniques. An optimal hemisphere charge estimator is built by merging primary and secondary vertex information, leading kaon identification and jet charge in a neural network. The average charge asymmetry, the flavour tagging efficiencies and mean b-hemisphere charges are measured from data and used to extract the pole b asymmetry in the Standard Model
A0,bFB=0.1011±0.0027(stat)±0.0012(syst),
corresponding to a value of the effective weak mixing angle of
sin2θeffW=0.23189±0.00056.