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In this report, we summarize the latest results of the top-quark pair production asymmetry and present the new result of bottom-quark pair production asymmetry. By looking at the results obtained by the CDF experiment, one can see a discrepancy in both inclusive and lepton-based measurements. The D0 results of the production asymmetry are compatible with the standard-model predictions as well as with the CDF results. The CDF measurement of production asymmetry presents consistency with both zero and with the standard-model predictions.

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