Weak interaction corrections to hadronic top quark pair production

We determine the weak interaction corrections of order αs2α to hadronic top-quark pair production. First we compute the one-loop weak corrections to tt production due to gluon fusion and the order αs2α corrections to tt production due to (anti)quark-gluon scattering in the standard model. With our previous result [W. Bernreuther, M. Fuecker, and Z. G. Si, Phys. Lett. B 633, 54 (2006).] this yields the complete corrections of order αs2α to gg, qq, qg, and qg induced hadronic tt production with t and t polarizations and spin correlations fully taken into account. For the Tevatron and the LHC we determine the weak contributions to the transverse top momentum and to the tt invariant-mass distributions. At the LHC these corrections can be of the order of 10% compared with the leading-order results, for large pT and Mtt, respectively. Apart from parity-even tt spin correlations we analyze also parity-violating double- and single-spin asymmetries and show how they are related if CP invariance holds. For t (and t) quarks which decay semileptonically, we compute a resulting charged-lepton forward-backward asymmetry APV with respect to the t (t) direction, which is of the order of 1% at the LHC for suitable invariant-mass cuts