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

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