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authortlatorre <tlatorre@uchicago.edu>2018-08-14 09:53:09 -0500
committertlatorre <tlatorre@uchicago.edu>2018-08-14 09:53:09 -0500
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initial commit of likelihood fit for muons
This commit contains code to fit for the energy, position, and direction of muons in the SNO detector. Currently, we read events from SNOMAN zebra files and fill an event struct containing the PMT hits and fit it with the Nelder Mead simplex algorithm from GSL. I've also added code to read in ZEBRA title bank files to read in the DQXX files for a specific run. Any problems with channels in the DQCH and DQCR banks are flagged in the event struct by masking in a bit in the flags variable and these PMT hits are not included in the likelihood calculation. The likelihood for an event is calculated by integrating along the particle track for each PMT and computing the expected number of PE. The charge likelihood is then calculated by looping over all possible number of PE and computing: P(q|n)*P(n|mu) where q is the calibrated QHS charge, n is the number of PE, and mu is the expected number of photoelectrons. The latter is calculated assuming the distribution of PE at a given PMT follows a Poisson distribution (which I think should be correct given the track, but is probably not perfect for tracks which scatter a lot). The time part of the likelihood is calculated by integrating over the track for each PMT and calculating the average time at which the PMT is hit. We then assume the PDF for the photons to arrive is approximately a delta function and compute the first order statistic for a given time to compute the probability that the first photon arrived at a given time. So far I've only tested this with single tracks but the method was designed to be easy to use when you are fitting for multiple particles.
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