Can we observe weak anomalous couplings of heavy quarks through three-jet events?

The rates and corresponding jet distributions for the decay $Z\to b\overline{b}g$ and the process $e^{+}{e}^{-}\to t\overline{t}g$ may be sensitive to anomalous dipolelike couplings of heavy quarks to the photon and $Z$. In the $b$-quark case, after updating our previous analysis on the constraints imposed by current experiments on $\mathrm{Zb}\overline{b}$ anomalous couplings, we show that the variation of these couplings within their presently allowed ranges leads to rather minor modifications to the standard model expectations for $Z\to b\overline{b}g$ observables. In the $t$-quark case, significant deviations from the standard model predictions for $t\overline{t}g$ production at the Next Linear Collider are possible.