New CP-odd observable in H → t(t)over-bar

We study a CP-violating triple product correlation that occurs in the decay of a neutral Higgs boson into t (t) over bar pairs when the Higgs boson does not have a definite CP nature. We consider the H -> t (t) over bar decay channel as well as the gluon fusion process gg -> H -> t (t) over bar. The asymmetry in Higgs decay, normalized to the H -> t (t) over bar width, can reach the 6% percent level. In the gluon fusion process the corresponding normalized asymmetry is smaller by an order of magnitude. We present a crude estimate of this observable at the LHC.