Precision Top-Quark Mass Measurement in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mtext mathvariant="normal">Lepton</mml:mtext><mml:mo mathvariant="bold">+</mml:mo><mml:mtext mathvariant="normal">Jets</mml:mtext></mml:math>Topology 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 mathvariant="bold">=</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 two measurements of the top-quark mass ${M}_{\mathrm{top}}$ using the CDF II detector at the Fermilab Tevatron in a $318\text{ }\text{ }{\mathrm{pb}}^{\ensuremath{-}1}$ data sample of $t\overline{t}$ events in the $\mathrm{\text{lepton}}+\mathrm{\text{jets}}$ final state. One method uses an event-based likelihood technique resulting in ${M}_{\mathrm{top}}={173.2}_{\ensuremath{-}2.4}^{+2.6}(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}3.2(\mathrm{syst})\text{ }\text{ }\mathrm{GeV}/{c}^{2}$ or ${173.2}_{\ensuremath{-}4.0}^{+4.1}\text{ }\text{ }\mathrm{GeV}/{c}^{2}$. The second method reconstructs a top-quark mass in each event using the measured invariant mass of the hadronically decaying $W$ boson to constrain the jet energy scale to obtain a value for ${M}_{\mathrm{top}}$ of ${173.5}_{\ensuremath{-}3.6}^{+3.7}(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}1.3(\mathrm{syst})\text{ }\text{ }\mathrm{GeV}/{c}^{2}$ or ${173.5}_{\ensuremath{-}3.8}^{+3.9}\text{ }\text{ }\mathrm{GeV}/{c}^{2}$. We take the latter, which is more precise, as our result.

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