  Current measurement of the $h\to Z\gamma$ signal strength invite us to
speculate about possible new physics interactions that exclusively affect
$\mu_{Z\gamma}$ without altering the other signal strengths. Additional
consideration of tree-unitarity enables us to correlate the nonstandard values
of $\mu_{Z\gamma}$ with an upper limit on the scale of new physics. We find
that even when $\mu_{Z\gamma}$ deviates from the SM value by only $20\%$, the
scale of new physics should be well within the reach of the LHC.
