Dynamical Likelihood Method for Reconstruction of Events with Missing Momentum. I. Method and Toy Models

A likelihood method is proposed for analysis of events which are produced in the hadron-hadron collision accompanied by the missing transverse momentum. The kinematical reconstruction is made by assuming variables sufficient to define the kinematics, and the likelihood of the assumption is evaluated by using the structure functions, the differential cross sections for intermediate states and the decay rate for final state configurations. The capability of the method is examined for simplified models of events including one- and two-missing massless particles. It is shown that (a) when events are well identified, dynamical parameters involved in the process canbe determined, and (b) in new particle searches, narrow mass spectrums are obtained.