One-loop formulas for off-shell decay $H^{\ast }\to W^{+}{W}^{-}$ in 't Hooft-Veltman gauge and its applications

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