Search for new particles leading to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi><mml:mo>+</mml:mo><mml:mtext mathvariant="normal">jets</mml:mtext></mml:math>final states 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 present the results of a search for new particles that lead to a $Z$ boson plus jets in $p\overline{p}$ collisions at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$ using the Collider Detector at Fermilab (CDF II). A data sample with a luminosity of $1.06\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected using $Z$ boson decays to $ee$ and $\ensuremath{\mu}\ensuremath{\mu}$ is used. We describe a completely data-based method to predict the dominant background from standard model $Z+\mathrm{\text{jet}}$ events. This method can be similarly applied to other analyses requiring background predictions in multijet environments, as shown when validating the method by predicting the background from $W+\mathrm{\text{jets}}$ in $t\overline{t}$ production. No significant excess above the background prediction is observed, and a limit is set using a fourth generation quark model to quantify the acceptance. Assuming $\mathrm{BR}({b}^{\ensuremath{'}}\ensuremath{\rightarrow}bZ)=100%$ and using a leading-order calculation of the ${b}^{\ensuremath{'}}$ cross section, ${b}^{\ensuremath{'}}$ quark masses below $268\text{ }\text{ }\mathrm{GeV}/{c}^{2}$ are excluded at 95% confidence level.

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