$m_b(m_Z)$ from jet production at the $Z$ peak in the Cambridge algorithm

Abstract

We consider the production of heavy quark jets at the $Z$-pole at the next-to-leading order (NLO) using the {\it Cambridge jet-algorithm}. We study the effects of the quark mass in two- and three-jet observables and the uncertainty due to unknown higher order corrections as well as due to fragmentation. We found that the three-jet observable has remarkably small NLO corrections, which are stable with respect to the change of the renormalization scale, when expressed in terms of the {\it running quark mass} at the $m_Z$-scale. The size of the hadronization uncertainty for this observable remains reasonably small and is very stable with respect to changes in the jet resolution parameter $y_c$.

14 pages, 3 figures. Enlarged version including a section on hadronisation corrections. The list of authors has also changed

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Cited by in corpus (7)

• A new observable to measure the top-quark mass at hadron colliders
• Resummed jet rates for $e^{+}{e}^{-}$ annihilation into massive quarks
• Study of b-quark mass effects in multijet topologies with the DELPHI detector at LEP
• Determination of the b quark mass at the M_Z scale with the DELPHI detector at LEP
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• Weak Corrections to Three-Jet Production in Electron-Positron Annihilations: 1) The Factorisable Contributions
• Precision Experiments at LEP