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The forward-backward asymmetry of the processe + e −→Z→b bb¯ has been measured using events collected by the DELPHI experiment during the 1991 and 1992 LEP runs. This data sample corresponded to 884 000 hadronicZ decays at a centre-of-mass energy s√∼MZ . The tagging of b-quark events was performed using two approaches; the first was based on the semileptonic decay channelsb→X+μ andb→X+e, the second used a lifetime tag with jet-charge reconstruction. The results of these two methods were combined to give Abb¯FB=0.107±0.011(stat.+syst.+mixing). With the semileptonic sample, the forward-backward asymmetry of the processe + e −→Z→ cc¯ was also measured to be Acc¯FB=0.083±0.022(stat.)±0.016(syst.). The effective value of the Weinberg mixing angle derived from these measurements was sin2θlepeff=0.2294±0.0021

Measurement of the forward-backward asymmetry ofe + e −→Z→ $$b\bar b$$ using prompt leptons and a lifetime tag