  We discuss our work toward the construction of a light-shell effective theory
(LSET), an effective field theory for describing the matter emerging from
high-energy collisions and the accompanying radiation. We work in the highly
simplified venue of 0-flavor scalar quantum electrodynamics, with a gauge
invariant product of scalar fields at the origin of space-time as the source of
high-energy charged particles. Working in this simple gauge theory allows us to
focus on the essential features of LSET. We describe how the effective theory
is constructed and argue that it can reproduce the full theory tree-level
amplitude. We study the 1-loop radiative corrections in the LSET and suggest
how the leading double-logs in the full theory at 1-loop order can be
reproduced by a purely angular integral in the LSET.
