A search for the decays of the Higgs and $Z$ bosons to a $\phi$ meson and a photon is performed with a $pp$ collision data sample corresponding to an integrated luminosity of 2.7\,\mathrm{fb}^{-1} collected at $\sqrt{s}=13\mathrm{TeV}$ with the ATLAS detector at the LHC. No significant excess of events is observed above the background, and 95% confidence level upper limits on the branching fractions of the Higgs and $Z$ boson decays to \phi\,\gamma of $1.4\times10^{-3}$ and $8.3\times10^{-6}$, respectively, are obtained.

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