Determination of the top-quark mass from hadro-production of single top-quarks

We present a new determination of the top-quark mass $m_t$ based on the experimental data from the Tevatron and the LHC for single-top hadro-production. We use the inclusive cross sections of $s$- and $t$-channel top-quark production to extract $m_t$ and to minimize the dependence on the strong coupling constant and the gluon distribution in the proton compared to the hadro-production of top-quark pairs. As part of our analysis we compute the next-to-next-to-leading order approximation for the $s$-channel cross section in perturbative QCD based on the known soft-gluon corrections and implement it in the program Hathor for the numerical evaluation of the hadronic cross section. Results for the top-quark mass are reported in the $\bar{MS}$ and in the on-shell renormalization scheme.