  Radiation and energy loss of a light, high-energy parton in a perturbative
Quark-Gluon Plasma is controlled by transverse momentum exchange. The
troublesome infrared contributions to transverse momentum exchange can be
computed on the lattice using dimensional reduction to EQCD. However a novel
extended operator, the Null Wilson Line of EQCD, is involved. We compute the
renormalization properties of this object's lattice implementation to
next-to-leading order, which should facilitate its efficient calculation on the
lattice.
