Leptoquark induced rare decay amplitudes h → τ∓μ± and τ → μγ

Rare decay modes of the newly discovered standard-model-like Higgs boson h may test the flavor-changing couplings in the leptoquark sector through the process h -> tau(-/+)mu(+/-). Motivated by the recently reported excess in LHC data from the CMS detector, we found that a predicted branching fraction Br (h -> tau(-/+)mu(+/-)) at the level of 1% is possible even though the coupling parameters are subjected to the stringent constraint from the null observation of t -> mu gamma, where the destructive cancellation among amplitudes is achievable by fine-tuning.