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arXiv · hep-ph/9410258

Three-jet production at LEP and the bottom quark mass

Mikhail Bilenky·Germán Rodrigo·Arcadi Santamaria
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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.

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Mikhail Bilenky, Germán Rodrigo, Arcadi Santamaria. 1994-10-11. Three-jet production at LEP and the bottom quark mass. https://doi.org/10.1016/0550-3213(94)00586-4

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