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In this work we study the consistency of a possible non-vanishing coupling$H\mu \tau $ of the order of $3.6\times 10^{-3}$ as pointed recently by the CMSand ATLAS collaborations, with measured lepton flavor violation processesinvolving quarkonium. We show that the most promising channel to confirm thisexcess is to look for the lepton flavor tau decay into a $f_0$ and $\mu$ wherethe experimental limit could strongly improved with the new B factories asBelle II.

Effects of an H-mu-tau coupling in quarkonium lepton flavor violation decays