Weak corrections to gluon-induced top-antitop hadro-production

We calculate purely weak virtual one-loop corrections to the production cross section of top-antitop pairs at the Large Hadron Collider via the gluon-gluon fusion subprocess. We find very small negative corrections to the total cross section, of order -0.3%, but significantly larger effects to the differential one, particularly in the transverse momentum distribution, of order -5% to -10% (in observable regions). In case of parity-conserving spin-asymmetries of the final state, $\alpha_{\mathrm{S}}^2\alpha_{\mathrm{W}}$ corrections are typically of order $+3%$ to $+5%$. While the latter may well be overwhelmed by systematic errors, those arising in parity-violating asymmetries (which are identically zero in QCD), at a level of a few permille, should be detectable, given the large data sample that will be collected at the CERN machine.