Age | Commit message (Collapse) | Author | |
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2018-09-17 | update muon kinetic energy calculation | tlatorre | |
This commit updates the calculation of the muon kinetic energy as a function of distance along the track. Previously I was using an approximation from the PDG, but it doesn't seem to be very accurate and won't generalize to the case of electrons. The kinetic energy is now calculated using the tabulated values of dE/dx as a function of energy. | |||
2018-08-31 | add theta0 argument to path_eval in test-path.c | tlatorre | |
2018-08-27 | add code to expand the track of a particle using a KL expansion | tlatorre | |
To fit the path of muons and electrons I use the Karhunen-Loeve expansion of a random 2D walk in the polar angle in x and y. This allows you to decompose the path into a sum over sine functions whose coefficients become random variables. The nice thing about fitting the path in this way is that you can capture *most* of the variation in the path using a small number of variables by only summing over the first N terms in the expansion and it is easy to calculate the probability of the coefficients since they are all uncorrelated. |