Single-top production in the s-channel and the top-quark mass

We use a fixed-order expansion of resummed soft-gluon corrections to determine an approximate NNLO formula for the partonic cross section of single-top production in the $s$-channel. This formula is implemented in the program Hathor for the numerical evaluation of hadronic cross sections. With the resulting code, we perform a fit of the top-quark mass to Tevatron cross section data. Results for $m_t$ are given in the pole-mass scheme and in the $\overline{\mathrm{MS}}$ scheme.