Measurement of the running b-quark mass using $e^+e^- \to b\bar{b}g$ events

A. Brandenburg; P. N. Burrows; D. Muller; N. Oishi; P. Uwer

doi:10.1016/S0370-2693(99)01194-6

paper

Measurement of the running b-quark mass using $e^{+} e^{-} \to b b ˉ g$ events

arXiv:hep-ph/9905495 · doi:10.1016/S0370-2693(99)01194-6

Abstract

We have studied the determination of the running b-quark mass, $m_{b} (M_{Z})$ , using $Z^{0}$ decays into 3 or more hadronic jets. We calculated the ratio of $\geq 3$ -jet fractions in $e^{+} e^{-} \to b b ˉ$ vs. $e^{+} e^{-} \to q_{l} q_{l} ˉ$ ( $q_{l}$ = u or d or s) events at next-to-leading order in perturbative QCD using six different infra-red- and collinear-safe jet-finding algorithms. We compared with corresponding measurements from the SLD Collaboration and found a significant algorithm-dependence of the fitted $m_{b} (M_{Z})$ value. Our best estimate, taking correlations into account, is $m_{b} (M_{Z}) = 2.56 \pm 0.27 (s t a t .)_{- 0.38}^{+ 0.28} (sy s t .)_{- 1.48}^{+ 0.49} (t h eor .) G e V / c^{2}$ .

22 pages (LaTeX), 1 Postscript figure. Version to appear in Phys. Lett. B. Several clarifying remarks added in the text, typos corrected, and theoretical results for very small masses added in the figure

Measurement of the running b-quark mass using e+e−→bbˉg events

Abstract

Measurement of the running b-quark mass using $e^{+} e^{-} \to b b ˉ g$ events