  We construct a complete and minimal basis of subleading-power N-jet operators
in position-space soft-collinear effective theory (SCET) and discuss how the
Low-Burnett-Kroll amplitude is recovered in this framework. We begin a
systematic investigation of the anomalous dimension of next-to-leading power
N-jet operators in view of resummation of logarithmically enhanced terms in
partonic cross sections and discuss the explicit result at the one-loop order
for fermion-number two N-jet operators at the second order in the power
expansion parameter of SCET.
