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We present an analysis of the lepton-flavor violating decay of the Higgs boson mediated by an ultralight gauge boson, χ. Our analysis matches a model generating the lepton flavor-violating interaction ̄ᵢⱼχ at tree level with an effective field theory, safeguarding the χ-boson mass as it tends to zero. By utilizing the upper bounds on H→ᵢ ⱼ decays from CMS and ATLAS Collaborations, we establish an indirect upper limit on the nonstandard decay H→ᵢ ⱼχ. The analysis encompasses various observables such as the lepton energy spectrum, Dalitz plot distribution, and Lepton Charge and Forward-Backward Asymmetries.
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Marín et al. (2024) studied this question.
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