Weak interaction corrections to hadronic top quark pair production

We determine the weak interaction corrections of order alpha(2)(s)alpha to hadronic top-quark pair production. First we compute the one-loop weak corrections to t (t) over bar production due to gluon fusion and the order alpha(2)(s)alpha corrections to t (t) over bar production due to (anti)quark-gluon scattering in the standard model. With our previous result [W. Bernreuther, M. Fucker, and Z. G. Si, Phys. Lett. B 633, 54 (2006).] this yields the complete corrections of order alpha(2)(s)alpha to gg, q (q) over bar, qg, and (q) over barg induced hadronic t (t) over bar production with t and (t) over bar 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 t (t) over bar invariant-mass distributions. At the LHC these corrections can be of the order of 10% compared with the leading-order results, for large p(T) and M-t (t) over bar, respectively. Apart from parity-even t (t) over bar 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) over bar) quarks which decay semileptonically, we compute a resulting charged-lepton forward-backward asymmetry A(PV) with respect to the t ((t) over bar) direction, which is of the order of 1% at the LHC for suitable invariant-mass cuts.