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A muon jet (-jet) is a very special feature that consists of a cluster of collimated muons from the decay of a fast moving light particle of mass about (1 GeV). We will use this feature to search for very light particles from rare decays of the Higgs boson. For such a small angular separation of muons which might come from a long-lived particle, both ATLAS and CMS could have the displaced-vertexing-reconstruction capability. We use two simple models of the Higgs-portal type to explore the possibilities of event topologies with two -jets, one -jet one -jet, and two -jets in the final state at LHC-14. We also summarize existing constraints on these models.

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