| Summary: | We investigate the interactions of a light scalar with the Higgs boson and second-generation fermions, which trigger new rare decays of the Higgs boson into 4μ, 2μ2γ, 6μ and 4μ2j. We recast current LHC searches to constrain these decays and develop new collider analyses for those channels which are only poorly tested by existing studies. With the currently collected data we can probe branching ratios as small as 1.5×10−5, 8.7×10−5, 5.7×10−8 and 1.6×10−7, respectively. For the High-Luminosity LHC run, considered here to involve 3 ab−1 of integrated luminosity, these numbers go down to 1.3×10−5, 2.0×10−6, 3.0×10−9 and 5.4×10−9, respectively. We also comment on other channels that remain still unexplored.
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