I review developments in the parton shower Monte Carlo event generator, Deductor. This is a project developed by my DESY collaborator Zoltan Nagy and me. It now includes 1) summation of threshold logarithms, 2) two choices for the shower ordering variable, and 3) user code for checking the effect of non-perturbative physics on an infrared safe observable (with the help of Pythia).
I first review the general theory used for Deductor, emphasizing how it arises as an implementation at the lowest perturbative order of a general structure that, in principle, describes a parton shower at any perturbative order.
I then turn to some results obtained with Deductor. The first of these is the gaps between jets problem. The second is the one jet inclusive cross section at very high jet transverse momentum. Here we find a substantial effect from partons being lost to the jet and a substantial effect from summing threshold logarithms.
