Search for the lepton flavor violating decay A⁰/H⁰→τ^±μ^∓ at hadron colliders

In the two Higgs doublet model type III and in several other extensions of the standard model, there are no discrete symmetries that suppress flavor changing couplings at the tree level. The experimental observation of the ν_μ–ν_τ flavor oscillation may suggest the non-conservation of the lepton number. This would lead to the decay of the type A⁰/H⁰→τ^±μ^∓. We determine the present low energy limit on lepton flavor violating (LFV) couplings from the muon g-2 measurement and discuss the prospects for detecting lepton flavor violating decays at the Fermilab Tevatron and at the CERN Large Hadron Collider. The achievable bounds on the LFV coupling parameter λ_τμ are presented.