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The discovery of charged Higgs bosons is of particular importance, sincetheir existence is predicted by supersymmetry and they are absent in theStandard Model (SM). If the charged Higgs bosons are too heavy to be producedin pairs at future linear colliders, single production associated with a topand a bottom quark is enhanced in parts of the parameter space. We present thenext-to-leading-order calculation in supersymmetric QCD within the minimalsupersymmetric SM (MSSM), completing a previous calculation of the SM-QCDcorrections. In addition to the usual approach to perform the loop integrationanalytically, we apply a numerical approach based on the Bernstein-Tkachovtheorem. In this framework, we avoid some of the generic problems connectedwith the analytical method.

Supersymmetric QCD corrections to $e^+e^-\to t\bar{b}H^-$ and the Bernstein-Tkachov method of loop integration