Results are reported from a search for non-standard-model Higgs boson decays to pairs of new light bosons, each of which decays into the $\mu^+ \mu^-$ final state. The data set corresponds to an integrated luminosity of 20.65 \fbinv of proton-proton collisions at $\sqrt{s} = 8$~TeV, recorded by the CMS experiment at the LHC in 2012. One event is observed after analysis selection requirements were applied. A model-independent upper limit on the product of the cross section times branching fraction times acceptance is derived. The results are applicable to a broad spectrum of new physics scenarios and are also compared with the predictions of two benchmark models, NMSSM and dark SUSY, as functions of a Higgs boson mass larger than 86\GeVcc and of a new light boson mass within the range 0.25--3.55\GeVcc.

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