Search for the Flavor-Changing Neutral-Current Decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mo>→</mml:mo><mml:mi>Z</mml:mi><mml:mi>q</mml:mi></mml:math>in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math>Collisions at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>1.96</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>TeV</mml:mi></mml:math>

We report a search for the flavor-changing neutral-current decay of the top quark $t\ensuremath{\rightarrow}Zq$ ($q=u$, $c$) in $p\overline{p}$ collisions at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$ using a data sample corresponding to an integrated luminosity of $1.9\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected by the CDF II detector. This decay is strongly suppressed in the standard model and an observation of a signal at the Fermilab Tevatron would be an indication of physics beyond the standard model. Using $Z+\ensuremath{\ge}4$ jet final state candidate events, with and without an identified bottom quark jet, we obtain an upper limit of $\mathcal{B}(t\ensuremath{\rightarrow}Zq)&lt;3.7%$ at 95% C.L.

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