  We present a formulation of soft-collinear effective theory (SCET) in the
two-jet sector as a theory of decoupled sectors of QCD coupled to Wilson lines.
The formulation is manifestly boost-invariant, does not require the
introduction of ultrasoft modes at the hard matching scale Q, and has manifest
power counting in inverse powers of Q. The spurious infrared divergences which
arise in SCET when ultrasoft modes are not included in loops disappear when the
overlap between the sectors is correctly subtracted, in a manner similar to the
familiar zero-bin subtraction of SCET. We illustrate this approach by analyzing
deep inelastic scattering in the endpoint region in SCET and comment on other
applications.
