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Determination of semi-muonic branching ratios and fragmentation functions of heavy quarks ine + e annihilation at\(\langle \sqrt s \rangle \)=34.6 GeV

Abstract

Muon inclusive multihadronic final states ine + e annihilation at\(\langle \sqrt s \rangle \)=34.6 GeV, collected by the JADE detector at PETRA, have been analysed in terms of the semi-muonic branching ratios and fragmentation functions of heavy quarks. Defining the fragmentation variable, ζ, as\(z = \frac{{\left( {E + p_\parallel } \right)_{hadron} }}{{\left( {E + p} \right)_{quark} }}\) we find <z c >=(77±3±5)% and <z b >=(86±4±5)%. The corresponding semi-muonic branching ratios are measured to be BR(c→μv μ X)=7.8±1.5±2)% and BR (b→μv μ X)=(11.7±1.6±1.5)%. Defining ζ as\(x_E = \frac{{E_{hadron} }}{{E_{beam} }}\) we observe an expected softening effect in the fragmentation due mainly to gluon emission, but find that this definition leads to semi-muonic branching ratiomeasurements which are strongly affected by uncertainties in the fragmentation process and the WCD calculation.

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JADE Collaboration., Bartel, W., Becker, L. et al. Determination of semi-muonic branching ratios and fragmentation functions of heavy quarks ine + e annihilation at\(\langle \sqrt s \rangle \)=34.6 GeV. Z. Phys. C - Particles and Fields 33, 339–349 (1987). https://doi.org/10.1007/BF01552539

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Keywords

  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Heavy Quark
  • Particle Acceleration