Third generation sfermion decays intoZandWgauge bosons: Full one-loop analysis

Abstract

The complete one-loop radiative corrections to third-generation scalar fermions into gauge bosons $Z$ and ${W}^{\ifmmode\pm\else\textpm\fi{}}$ is considered. We focus on ${\stackrel{\texttildelow{}}{f}}_{2}\ensuremath{\rightarrow}Z{\stackrel{\texttildelow{}}{f}}_{1}$ and ${\stackrel{\texttildelow{}}{f}}_{i}\ensuremath{\rightarrow}{W}^{\ifmmode\pm\else\textpm\fi{}}{\stackrel{\texttildelow{}}{f}}_{j}^{\ensuremath{'}}$, $f,{f}^{\ensuremath{'}}=t,b$. We include SUSY-QCD, QED, and full electroweak corrections. It is found that the electroweak corrections can be of the same order as the SUSY-QCD corrections. The two sets of corrections interfere destructively in some region of parameter space. The full one-loop correction can reach 10% in some supergravity scenario, while in model independent analysis like general the minimal supersymmetric standard model, the one-loop correction can reach 20% for large $\mathrm{tan}\ensuremath{\beta}$ and large trilinear soft breaking terms ${A}_{b}$.