The matrix element which determines the B meson decay constant can be measured on the lattice using an effective field theory for heavy quarks. Various discretizations of the heavy-light bilinears which appear in this and other B decay matrix elements are possible. The heavy-light bilinear currently used for the determination of the B meson decay constant on the lattice suffers a substantial one-loop renormalization. In this paper, we compute the one-loop renormalizations of the discretizations in which the heavy and light fields in the bilinear are separated by one lattice spacing, and discuss their application.