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It should be noted that the Landau distribution has no free parameters! Thus, the curve in the figure is wrong. There is no Landau distribution with a most probable value of 2 and a of 1. Actually the most probable value is (ROOT TMath::Landau()) around 0.222.
Just by scaling and shifting one can introduce artificially a most probable value and a width
The physics of high energy ionized particles going through a thin piece of material
Could someone who knows add a section on why this is the distribution of particles' energy loss travelling through a thin medium?