One-loop $W$ boson contributions to the decay $H\to Z\gamma$ in the general $R_{\xi }$ gauge

Abstract

One-loop $W$ boson contributions to the decay $H\to Z\gamma$ 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 $d\to 4$, 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 $\xi \to \infty$.

Comments: 15 pages, 1 Table of data