Higgs decays to $\gamma$ and invisible particles in the standard model

Using the Higgs boson mass $m_h=125$ GeV, the radiative Higgs decays $h\rightarrow\gamma \nu_l\bar\nu_l$ with $\nu_l = \nu_e,\,\nu_\mu$ and $\nu_\tau$ are analyzed in the standard model. Our calculation shows that the inclusive width of these processes, i.e., the sum of $\Gamma(h\to\gamma\nu_l\bar\nu_l)$ for ${\nu_l=\nu_e,\nu_\mu,\nu_\tau}$, is $1.41$ keV, which is about $15\%$ of $\Gamma(h\to\gamma\gamma)$. Therefore, the observation of these channels in the future precise experiments may provide us some useful information on the Higgs physics both in the standard model and in its possible extensions.