TTP93-34 Hadron Radiation in Leptonic $Z$ Decays

TTP93-34 Hadron Radiation in Leptonic $Z$ Decays

TTP93-34 Hadron Radiation in Leptonic $Z$ Decays

The rate for the final state radiation of hadrons in leptonic $Z$ decays is evaluated, using as input experimental data for $\sigma (e^+e^-\to hadrons)$ in the low energy region. Configurations with a lepton pair of large and a hadronic state of low invariant mass are dominant. A relative rate $\Gamma_{l\bar l had}/\Gamma_{l\bar l}=6.3\times 10^{-4}$ is calculated. This result is about twice the prediction based on a parton model calculation with a quark mass of $300$ MeV. The rate for secondary production of heavy quarks is calculated in the same formalism.

A.H. Hoang, M. Je\.zabek, J.H. K\“uhn and T. Teubner
Phys. Lett. B325 495–499 1994
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