Measurement of theb-quark fragmentation function inZ0decays
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Abstract
We present a measurement of the b-quark inclusive fragmentation function in ${Z}^{0}$ decays using a novel kinematic B-hadron energy reconstruction technique. The measurement was performed using 350 000 hadronic ${Z}^{0}$ events recorded in the SLD experiment at SLAC between 1997 and 1998. The small and stable SLC beam spot and the charge-coupled-device--based vertex detector were used to reconstruct B-decay vertices with high efficiency and purity, and to provide precise measurements of the kinematic quantities used in this technique. We measured the B energy with good efficiency and resolution over the full kinematic range. We compared the scaled B-hadron energy distribution with models of b-quark fragmentation and with several ad hoc functional forms. A number of models and functions are excluded by the data. The average scaled energy of weakly decaying B hadrons was measured to be $〈{x}_{b}〉=0.709\ifmmode\pm\else\textpm\fi{}0.003(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.003(\mathrm{syst})\ifmmode\pm\else\textpm\fi{}0.002(\mathrm{model}).$
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