The cross-section for the reaction $e^+e^- \rightarrow b\bar{ b}\mu^+\mu^-$ is calculated with a semi-analytical integration of the phase space. Compact formulae are obtained for the total cross section and for invariant mass distributions of the $\mu^+\mu^-$ and $b\bar{ b}$ pairs. The background diagrams to $ZH$ production yield analytically cumbersome but numerically small contributions. The numerical results are compared with those from a Monte Carlo approach.

Categories: hep-ph

Semi-Analytical Approach to Higgs Production at LEP 2