The Higgs boson decays with the lepton flavor violation

Abstract

Within the left–right symmetric model (LRM), the decays [Formula: see text] where [Formula: see text] is an analog of the Standard Model Higgs boson, are considered. The widths of this decays are found in the third-order of the perturbation theory. Since the main contribution to the decay widths is caused by the diagram with the light and heavy neutrinos in the virtual state, then investigation of this decays could shed light upon the neutrino sector structure. The obtained decay widths critically depend on the charged gauge bosons mixing angle [Formula: see text] and the heavy–light neutrinos mixing angle [Formula: see text]. The LRM predicts the values of these angles as functions of the vacuum expectation values [Formula: see text] and [Formula: see text]. Using the results of the existing experiments, on looking for the additional charged gauge boson [Formula: see text] and on measuring the electroweak [Formula: see text] parameter, gives [Formula: see text] However, even using the upper bounds on [Formula: see text] and [Formula: see text], one does not manage to get the upper experimental bound on the branching ratio [Formula: see text] being equal to [Formula: see text]. The theoretical expression proves to be on two orders of magnitude less than [Formula: see text].