  We show that the charge asymmetry in t tbar production at the LHC, A_C, and
the forward-backward asymmetry at the Tevatron, A_FB, are in general not
tightly correlated. They can even have opposite signs, if the underlying new
physics (NP) model is general enough. We demonstrate this using two examples of
NP: a light axigluon, and a vector that is a color octet and electroweak
triplet. The small value of A_C measured at the LHC is thus shown not to
exclude a NP interpretation of the anomalously large A_FB at the Tevatron. We
identify two observables where significant NP effects are still expected at the
Tevatron and the LHC, the b bbar production forward-backward asymmetry and spin
polarizations of the pair-produced tops and anti-tops.
