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We analyze the one-loop effects (strong and electroweak) on theunconventional top quark decay mode $t\rightarrow H^{+} b$ within the MSSM. Theresults are presented in the on-shell renormalization scheme with a physicallywell motivated definition of $\tan\beta$. The study of this process at thequantum level is useful to unravel the potential supersymmetric nature of thecharged Higgs emerging from that decay. As compared with the standard mode$t\rightarrow W^{+} b$, the corrections to $t\rightarrow H^{+} b$ are large,slowly decoupling and persist at a sizeable level even for all sparticle masseswell above the LEP 200 discovery range. As a matter of fact, the potential sizeof the SUSY effects, which amount to corrections of several ten percent, couldcounterbalance the standard QCD corrections and even make them to appear withthe ``wrong'' sign. Therefore, if the charged Higgs decay of the top quark iskinematically allowed -a possibility which is not excluded by the recentmeasurements of the branching ratio $BR(t\rightarrow W^{+} b)$ at the Tevatron- it could be an invaluable laboratory to search for ``virtual'' supersymmetry.While a first significant test of these effects could possibly be performed atthe upgraded Tevatron, a more precise verification would most likely be carriedout in future experiments at the LHC.Comment: 60 pages, LaTeX, 25 figs included as a separate file, full postscript  version avaliable at ftp://ftp.ifae.es/preprint/ft/uabft397.ps . In this  improved version we give an extended discussion of our renormalization  framework and of the numerical analysis. Two additional figures are included.  Some missprints have been correcte

Quantum effects on $t\rightarrow H^{+}\,b$ in the MSSM: a window to “virtual” supersymmetry?