Kinematic fit of dilepton events in top quark mass measurement using the template method

The study of different modifications for the procedure of determining the reconstructed mass based on the kinematic fit for dilepton events to improve the precision of the top quark mass measurement using the template method is described. It is demonstrated that accounting for the top quark decay width from its mass reduces the statistical measurement error by approximately 20%. The possibility of using transfer functions for a detailed description of the connection between the experimentally measured energy characteristics of b jets and the momenta of b quarks that produced these jets is considered. The capabilities of the modified method as used for the "lepton plus track" sample of the CDF experiment are evaluated.