I've decided on a binning to stick with for the detector recoil jet 'pTcorr' distributions (the 'R = 0.3', charged recoil jet distributions, that is).  The last couple of bins for each trigger have relative errors of ~30%.  So if need be, I can just merge those, but the rest of the bins have ~< 20%.  These are the bin low edges I used:

binLowEdges[37] = {-1., -0.8, -0.6, -0.4, -0.2, 0., 0.2, 0.4, 0.6, 0.8, 1., 1.5, 2., 2.5, 3., 3.5, 4., 5., 6., 7., 8., 9., 10., 12., 14., 16., 18., 20., 22.5, 25., 27.5, 30., 35., 40., 50., 60., 80.}

Since 'rho = 0' for 'R = 0.3' charged jets, there are no jets below 'pTcorr = 0.2'.  So you can also truncate this safely around 0. or 0.2.  Either way, here are some plots.