Supersymmetric QCD Corrections to the Charged Higgs Boson Decay of the Top Quark

The one-loop supersymmetric QCD quantum effects on the width of the unconventional top quark decay mode $t\rightarrow H^{+}\, b$ are evaluated within the MSSM. The study of this process is useful to hint at the supersymmetric nature of the charged Higgs emerging from that decay. Remarkably enough, recent calculations of supersymmetric corrections to $Z$-boson observables have shown that the particular conditions by which the decay $t\rightarrow H^{+}\, b$ becomes competitive with the standard decay $t\rightarrow W^{+}\,b$ have a chance to be realized in nature. This further motivates us to focus our attention on the dynamics of $t\rightarrow H^{+}\, b$ as an excellent laboratory to unravel Supersymmetry at the quantum level in future experiments at Tevatron and at LHC.