Abstract
Phys.Rev.D74:032009,2006 We describe a measurement of the top quark mass using events with two charged
leptons collected by the CDF II detector from $p\bar{p}$ collisions with $\sqrt
s = 1.96$ TeV at the Fermilab Tevatron. The likelihood in top mass is
calculated for each event by convoluting the leading order matrix element
describing $q\bar{q} \to t\bar{t} \to b\ell\nu_{\ell}\bar{b}\ell'\nu_{\ell'}$
with detector resolution functions. The presence of background events in the
data sample is modeled using similar calculations involving the matrix elements
for major background processes. In a data sample with integrated luminosity of
340 pb$^{-1}$, we observe 33 candidate events and measure $M_{top} = 165.2 \pm
6.1(\textrm{stat.}) \pm 3.4(\textrm{syst.}) \mathrm{~GeV}/c^2.$ This
measurement represents the first application of this method to events with two
charged leptons and is the most precise single measurement of the top quark
mass in this channel.