The electroweak mixing angle is determined with high precision from measurements of the mean difference between forward and
backward hemisphere charges in hadronic decays of the Z. A data sample of 2.5 million hadronic Z decays recorded over the
period 1990 to 1994 in the ALEPH detector at LEP is used. The mean charge separation between event hemispheres containing
the original quark and antiquark is measured for
b[`(b)]b\bar b
and
c[`(c)]c\bar c
events in subsamples selected by their long lifetimes or using fast
D*’s. The corresponding average charge separation for light quarks is measured in an inclusive sample from the anticorrelation
between charges of opposite hemispheres and agrees with predictions of hadronisation models with a precision of 2%. It is
shown that differences between light quark charge separations and the measured average can be determined using hadronisation
models, with systematic uncertainties constrained by measurements of inclusive production of kaons, protons and
Λ’s. The separations are used to measure the electroweak mixing angle precisely as sin
2
ϑ
w
eff
=0.2322±0.0008(exp.stat.) ±0.0007(exp.syst.)±0.0008(sep.). The first two errors are due to purely experimental sources whereas
the third stems from uncertainties in the quark charge separations.
Supported by Dirección General de Investigación Científica y Técnica, Spain
Supported by the Commission of the European Communities, contract ERBCHBICT941234
Supported by CICYT, Spain
Supported by the National Science Foundation of China
Supported by the Danish Natural Science Research Council
Supported by the UK Particle Physics and Astronomy Research Council
Supported by the US Department of Energy, grant DE-FG0295-ER40896
Supported by the US Department of Energy, contract DE-FG05-92ER40742
Supported by the US Department of Energy, contract DE-FC05-85ER250000
Supported by the Bundesministerium für Forschung und Technologie, Germany
Supported by the Direction des Sciences de la Matière, C.E.A.
Supported by Fonds zur Förderung der wissenschaftlichen Forschung, Austria
Supported by the US Department of Energy, grant DE-FG03-92ER40689
Partially supported by Colciencias, Colombia