The hadronic Higgs decay and the connection to the decoupling relations in QCD

The decoupling relations for the strong coupling constant, αs, and the light quark masses are considered in the framework of perturbative QCD. A low-energy theorem is derived which connects the decoupling constants to the coefficient functions of the effective Lagrangian responsible for the decay of a Higgs boson in the intermediate-mass range. The evaluation of the imaginary part of the correlators formed by the corresponding operators completes the calculation of the decay of the Higgs boson into hadrons. (author)