We describe a measurement of the top quark mass using events with two charged leptons collected by the CDF II Detector from pp¯ collisions with s = 1.96 TeV at the Fermilab Tevatron. The posterior probability distribution of the top quark pole mass is calculated using the differential cross-section for the tt¯ production and decay expressed with respect to observed leptons and jets momenta. The presence of background events in the collected sample is modeled using calculations of the differential cross-sections for major background processes. This measurement represents the first application of this method to events with two charged leptons. In a data sample with integrated luminosity of 340pb -1, we observe 33 candidate events and measure Mtop=165.2+/-6.1stat+/-3. 4systGeV/c2 . |