Charged Higgs boson production in the 1 TeV domain as a probe of the minimal supersymmetric standard model

We consider the production, at future lepton colliders, of charged Higgs boson pairs in the minimal supersymmetric standard model. Assuming a relatively light supersymmetry (SUSY) scenario, we show that, for center of mass energies in the 1 TeV range, a one-loop logarithmic Sudakov expansion that includes an “effective” next-to-subleading order term is adequate to the expected level of experimental accuracy. We consider then the coefficient of the linear (subleading) SUSY Sudakov logarithm and the SUSY next-to-subleading term of the expansion and show that their dependence on the supersymmetric parameters of the model is drastically different. In particular, the coefficient of the SUSY logarithm is only dependent on $\tan \beta$ while the next-to-subleading term depends on a larger set of SUSY parameters. This would allow us to extract from the data separate informations and tests of the model.