FUMILI-based minimization with constraints using method of elimination of differentials

Abstract

Kinematic filtting is one of the popular particle physics problems where constraint minimization is used. The constraints setting additional relations between parameters p can be given in form of equations φ(p1,..., pn) = 0. Often these equations are non-linear and complicated, and thus it is impossible or impractical to eliminate redundant parameters directly. The article covers employing of the minimization approach called a method of elimination of differentials, that is being developed at JINR as an extension to the FUMILI minimizer, and is intended for kinematic filtting in particle physics experiments.