New physics interpretations for nonstandard values of $h\to Z\gamma$

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.