Геометрический фильтр частиц для многослойных трековых детекторов

Abstract

In this study we have created the mathematical implementation of the constraints that reduce the number of possible particle trajectories passing through the multi-layer tracking detectors. The geometric equations of the planes tangent to the isochrone cylinders were used to find the possible trajectories of the charged particles. As a result, several typical situations were found out, each with the set of points coordinates and their uncertainties. This geometric filter is developed as the instrument that should be used on the data preparation stage before the use of track fitting and reconstruction algorithms in order to reduce the computational load and to decrease the uncertainty in obtained results