Top quark production at TeV energies as a potential supersymmetry detector

We consider the process of top-quark–top-antiquark production from electron-positron annihilation, for center-of-mass energies in the few TeV regime, in the minimal supersymmetric standard model theoretical framework. We show that, at the one loop level, the variations of a number of observable quantities with energy (slopes) in a region of about 3 TeV are only dependent on $\tan \beta .$ Under optimal experimental conditions, a combined measurement of these slopes might identify $\tan \beta$ values in a range $\tan \beta <2,$ $\tan \beta >20\mathrm{}$ with acceptable precision.