  In the framework of soft-collinear effective theory (SCET), we show how to
formulate the resummation for a broad family of final-state, global observables
in high-energy collisions in a general way that is suitable for a numerical
calculation. Contrary to the standard SCET approach, this results in a method
that does not require an observable-specific factorization theorem. We present
a complete formulation at next-to-next-to-leading logarithmic order for
$e^+e^-$ observables, and show how to systematically extend the framework to
higher orders. This work paves the way to automated resummation in SCET for
several physical observables within a single framework.
