Three-jet production at LEP and the bottom quark mass

Abstract

We consider the possibility of extracting the bottom quark mass from LEP data. The inclusive decay rate for $\zbb +\cdots$ is obtained at order $\as$ by summing up the one-loop two-parton decay rate to the tree-level three-parton rate. We calculate the decay width of the $Z$-boson into two and three jets containing the $b$-quark including complete quark mass effects. In particular, we give analytic results for a slight modification of the JADE clustering algorithm. We also study the angular distribution with respect to the angle formed between the gluon and the quark jets, which has a strong dependence on the quark mass. The impact of higher order QCD corrections on these observables is briefly discussed. Finally, we present numerical results for some popular jet-clustering algorithms and show that, indeed, these three-jet observables are very sensitive to the $b$-quark mass and well suited for its determination at LEP.

24 pages, CERN-TH.7419/94, LaTeX, full postscript version with 6 figures included is available as an additional compressed uuencoded file

References in corpus (2)

• The Bottom Mass Prediction in Supersymmetric Grand Unification; Uncertainties and Constraints
• Heavy Quarks and Leptons at $e^{+}{e}^{-}$ Colliders

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