A novel 4D fast track finding system using precise space and time information of the hit

We propose a novel fast track finding system capable of reconstructing four dimensional particle trajectories in real time using precise space and time information of the hits. Recent developments in silicon pixel detectors achieved 150 ps time resolution and intense R&D is in progress to improve the timing performance, aiming at 10 ps. The use of the precise space and time information allows the suppression of background hits not compatible with the time of passage of the particle and the determination of its time evolution. The fast track finding device that we are proposing is based on a massively parallel algorithm implemented in commercial field-programmable gate array using a pipelined architecture. We describe the algorithm and its implementation for a tracking system prototype based on 8 planes of silicon sensors used as a case study. According to simulations the suppression of noise hits is effective in reducing fake track combinations and improving real-time track reconstruction in presence of background hits. The system provides offline-like tracks with sub-microsecond latency and it is capable to determine the time of the track with picosecond resolution assuming 10 ps resolution for the hits.