This article presents a measurement of the top quark mass using the CDF II
detector at Fermilab. Colliding beams of protons and anti-protons at Fermilab's
Tevatron (sqrt{s}=1.96 TeV) produce top/anti-top pairs, which decay to
W^+W^-bbbar; events are selected where one W decays to hadrons, and one W
decays to either e or mu plus a neutrino. The data sample corresponds to an
integrated luminosity of approximately 318 pb^-1. A total of 165 ttbar events
are separated into four subsamples based on jet transverse energy thresholds
and the number of b jets identified by reconstructing a displaced vertex. In
each event, the reconstructed top quark invariant mass is determined by
minimizing a chi-squared for the overconstrained kinematic system. At the same
time, the mass of the hadronically decaying W boson is measured in the same
event sample. The observed W boson mass provides an in situ improvement in the
determination of the hadronic jet energy scale, JES. A simultaneous likelihood
fit of the reconstructed top quark masses and the W boson invariant masses in
the data sample to distributions from simulated signal and background events
gives a top quark mass of 173.5 +3.7/-3.6 (stat.+JES) +/- 1.3 (other syst.)
GeV/c^2, or 173.5 +3.9/-3.8 GeV/c^2.Comment: 77 pages, 32 figures, Submitted to Phys. Rev.