Measurements of the top-quark mass using charged particle tracking

We present three measurements of the top-quark mass in the lepton plus jets channel with approximately $1.9{\mathrm{fb}}^{-1}$ of integrated luminosity collected with the CDF II detector using quantities with minimal dependence on the jet energy scale. One measurement exploits the transverse decay length of $b$-tagged jets to determine a top-quark mass of ${166.9}_{-8.5}^{+9.5}(\mathrm{stat})\pm 2.9(\mathrm{syst})\mathrm{GeV}/c^2$, and another the transverse momentum of electrons and muons from $W$-boson decays to determine a top-quark mass of ${173.5}_{-8.9}^{+8.8}(\mathrm{stat})\pm 3.8(\mathrm{syst})\mathrm{GeV}/c^2$. These quantities are combined in a third, simultaneous mass measurement to determine a top-quark mass of $170.7\pm 6.3(\mathrm{stat})\pm 2.6(\mathrm{syst})\mathrm{GeV}/c^2$.