Trackless ring identification and pattern recognition in Ring Imaging Cherenkov (RICH) detectors

An algorithm for identifying rings in Ring Imaging Cherenkov (RICH) detectors is described. The algorithm does not make use of tracking information to seed ring centres. The algorithm is necessarily Bayesian and makes use of a Metropolis-Hastings Markov chain Monte Carlo sampler to locate the rings. In particular, the sampler employs a novel proposal function whose form is responsible for significant speed improvements over earlier trackless methods. The method is optimised for finding multiple overlapping rings in detectors similar to the LHCb experimentʹs “RICH2” detector.