Study of Track Reconstruction using Retina algorithm for charged particles in magnetic field

Real-time track reconstruction in high energy physics experiments at colliders running at high luminosity is very challenging for trigger systems. When it is run on FPGAs, the Retina algorithm has been used in High Energy Physics experiments mainly in the case of parallel plane detection layer without magnetic field such as the LHCb VELO detector. However another interesting geometry is a tracking detector with a barrel shape made of multiple concentric cylindrical layers surrounded by a strong (several Tesla) magnetic field. In this paper we introduce our simulation work of reconstructing the charged particle trajectory in the strong magnetic field environment by using the Retina algorithm under the structure of this barrel shape detector. Based on simulations, preliminary results on the track reconstruction resolution are presented.