Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

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

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 $\geq3$-jet fractions in $e^+e^-\to b\bar{b}$ vs. $e^+e^-\to q_l\bar{q_l}$ ($q_l$ = 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 $m_b(M_Z) = 2.56 \pm 0.27 (stat.) ^{+0.28}_{-0.38} (syst.) ^{+0.49}_{-1.48} (theor.) GeV/c^2$.

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

Abstract

We have studied the determination of the running b-quark mass, , using decays into 3 or more hadronic jets. We calculated the ratio of -jet fractions in vs. ( = 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 value. Our best estimate, taking correlations into account, is .

Paper Structure

This paper contains 7 sections, 13 equations, 1 figure, 4 tables.

Table of Contents

  1. Introduction
  2. Theoretical Framework
  3. 3-jet Contributions
  4. 4-jet Contributions
  5. Calculation of $r^b$
  6. Extraction of the $b$-Quark Mass
  7. Summary and Conclusions

Figures (1)

  • Figure 1: The $R_3^b/R_3^{uds}$ ratios measured by SLD for each of the six jet finding algorithms (horizontal bands) compared with the predicted dependence on the running $b$-quark mass, $m_b(M_Z)$.