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We measure the particle-level forward-backward production asymmetry in$b\bar{b}$ pairs with masses $m(b\bar{b})$ larger than 150 GeV/$c^2$, usingevents with hadronic jets and employing jet charge to distinguish $b$ from$\bar{b}$. The measurement uses 9.5/fb of ppbar collisions at a center of massenergy of 1.96 TeV recorded by the CDF II detector. The asymmetry as a functionof $m(b\bar{b})$ is consistent with zero, as well as with the predictions ofthe standard model. The measurement disfavors a simple model including anaxigluon with a mass of 200 GeV/$c^2$ whereas a model containing a heavier 345GeV/$c^2$ axigluon is not excluded.

First measurement of the forward-backward asymmetry in bottom-quark pair production at high mass