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

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

1998-07-24

arxiv.org/abs/hep-ph/9807489v2

Phys.Rev. D60 (1999) 114006

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.60.114006

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 $y_c$.

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