Search for H/A → μμ and τμ at the LHC

The expected experimental sensitivity to the heavy neutral Higgs boson decays H/A → μ μ and H/A → τ μ at the LHC is discussed in the framework of the MSSM and of two type-III Two-Higgs-Doublet Models allowing for lepton flavour violation (LFV), respectively. Despite a small branching fraction, the H/A → μ μ decay allows for a precise measurement of the Higgs boson mass and for an evaluation of the ratio of the vacuum expectation values of the two Higgs doublets, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\rm{\tan{\beta}}$\end{document}. The search for the lepton flavour violating decay H/A → τ μ allows stringent constraints to be set on the LFV coupling parameter λτ μ.