We calculate, in the framework of multi Higgs doublet models, the CP violating transverse tau polarization, P τ , in inclusive semileptonic B meson decays. We find that P τ diverges at O( 1 m b 2 ) of the heavy quark expansion. We discuss the physical reasons for this divergence and show how to regularize it. We find large 1 m b 2 corrections that can suppress the CP asymmetry by as much as 30%. The maximal allowed asymmetry is a c ∼ 0.34. We discuss how the allowed range is expected to change in the future.
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