The light-quark contribution to H to gamma gamma and H to gamma Z is nonzero and linear in quark masses, with a large enhancement in the two-photon channel.
One-loop $W$ boson contributions to the decay $H\rightarrow Z\gamma$ in the general $R_\xi$ gauge
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One-loop $W$ boson contributions to the decay $H\rightarrow Z\gamma$ in the general $R_\xi$ gauge are presented. The analytical results are expressed in terms of well-known Passarino-Veltman functions which their numerical evaluations can be generated using {\tt LoopTools}. In the limit $d\rightarrow 4$, we have shown that these analytical results are independent of the unphysical parameter $\xi$ and consistent with previous results. The gauge parameter independence are also checked numerically for consistence. Our results are also well stable with different values of $\xi =0, 1, 100,$ and $\xi \rightarrow \infty$.
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On the contribution from the light quarks to $H\to\gamma\gamma , \gamma Z$
The light-quark contribution to H to gamma gamma and H to gamma Z is nonzero and linear in quark masses, with a large enhancement in the two-photon channel.