Production of light Higgs pairs in 2-Higgs doublet models via the Higgs-strahlung process at the LHC

At the Large Hadron Collider, we prove the feasibility to detect pair production of the lightest CP -even Higgs boson h of a Type II 2-Higgs Doublet Model through the process \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ q{\overline q^{\left( ' \right)}} \to Vhh $\end{document} (Higgs-strahlung, V = W±,Z), in presence of two \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ h \to b\overline b $\end{document} decays. We also show that, through such production and decay channels, one has direct access to the following Higgs self-couplings, thus enabling one to distinguish between a standard and the Supersymmetric version of the above model: λHhh— which constrains the form of the Higgs potential — as well as λW±H∓h and λZ Ah— which are required by gauge invariance. Unfortunately, such claims cannot be extended to the Minimal Supersymmetric Standard Model, where the extraction of the same signals is impossible.