One-loop formulas for off-shell decay \(H^* \rightarrow W^+W^-\) in 't Hooft-Veltman gauge and its applications

We present analytic results for one-loop radiative corrections to off-shell decay \(H^* \rightarrow W^+W^-\) in 't Hooft-Veltman gauge within the Standard Model framework. In numerical results, we show off-shell decay rate and its corrections with varying off-shell Higgs mass. The results show that the corrections are of 10% contributions to the total decay rates. Furthermore, we study the impacts of one-loop radiative corrections to the off-shell decay \(H^* \rightarrow W^+W^-\) in Higgs processes at future colliders. The signal processes such as \(e^-e^+\rightarrow ZH^*\rightarrow Z(WW)\) with including the initial beam polarizations and \(e^-e^+\rightarrow \nu_e\bar{\nu}_e H^* \rightarrow \nu_e\bar{\nu}_e (WW)\) and \(e^-\gamma \rightarrow e^-H^* \rightarrow e^-WW\) are examined. We find that the effects are visible impacts and these should be taken into account at future colliders.