  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 $h \to \tau^\mp\mu^\pm$. Motived by the recently reported excess in LHC
data from the CMS detector, we found that a predicted branching fraction Br($h
\to \tau^\mp\mu^\pm$) at the level of 1\% is possible even though the coupling
parameters are subjected to the stringent constraint from the null observation
of $\tau\to\mu\gamma$, where the destructive cancellation among amplitudes is
achievable by fine tuning.
