Abstract

A complete tree-level calculation of the reaction\(e^ + e^ - \to \mu ^ + \mu ^ - b\bar b\) in the electroweak standard theory for the energy range of LEP200 and the next linear collider is presented. The matrix elements have been calculated by employing the computer program CompHEP, the phase space integrals by the Monte Carlo integrator and event generator BASES/SPRING. The dependence of the 4-fermion cross section on energy and the Higgs boson mass is studied in detail. Interference contributions between the various diagrams are found not to alter significantly the production and decay properties of the Higgs boson. It is shown that already the counting rate of the reaction\(e^ + e^ - \to \mu ^ + \mu ^ - b\bar b\) at LEP200 can provide evidence for the existence of the Higgs boson.

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