Signature of Pseudo Nambu-Goldstone Higgs boson in its Decay

If the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), the $hZgamma$ contact interaction induced by the $mathcal{O}(p^4)$ invariants of the non-linear sigma model is free from its nonlinearity effects. The process $hrightarrow Zgamma$ can be used to eliminate the universal effects of heavy particles, which can fake the nonlinearity effects of the PNGB Higgs boson in the process $hrightarrow V^*V$ ($V=W^pm$, $Z$). We demonstrate that the ratio of the signal strength of $hrightarrow Zgamma$ and $hrightarrow V^*V$ is good to distinguish the signature of the PNGB Higgs boson from Higgs coupling deviations.