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We consider isosinglet scalar extension of a model with a Higgs democracy -multihiggs extension of the SM where each quark and lepton has its own Higgsisodoublet. The addition of light isosinglet scalar allows to solve both muon$g_{\mu}-2$ anomaly and dark matter problem. Also we point out that anextension of the model with $L_{\mu} - L_{\tau}$ vector interaction allows notonly explain muon $g_{\mu} - 2$ anomaly but also dark matter density.

Light scalars, ($g_{\mu}-2$) muon anomaly and dark matter in a model with a Higgs democracy