Search for New Physics in High-Mass Electron-Positron Events 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 the results of a search for a narrow resonance in electron-positron events in the invariant mass range of $150--950\text{ }\text{ }\mathrm{GeV}/{c}^{2}$ using $1.3\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of $p\overline{p}$ collision data at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$ collected by the CDF II detector at Fermilab. No significant evidence of such a resonance is observed and we interpret the results to exclude the standard-model-like ${Z}^{\ensuremath{'}}$ with a mass below $923\text{ }\text{ }\mathrm{GeV}/{c}^{2}$ and the Randall-Sundrum graviton with a mass below $807\text{ }\text{ }\mathrm{GeV}/{c}^{2}$ for $k/{\overline{M}}_{\mathrm{pl}}=0.1$, both at the 95% confidence level. Combining with diphoton data excludes the Randall-Sundrum graviton for masses below $889\text{ }\text{ }\mathrm{GeV}/{c}^{2}$ for $k/{\overline{M}}_{\mathrm{pl}}=0.1$.

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