  We re-examine observables with rapidity divergences in the context of a
formulation of Soft-Collinear Effective Theory in which infrared degrees of
freedom are not explicitly separated into modes. We consider the Sudakov form
factor with a massive vector boson and Drell-Yan production of lepton pairs at
small transverse momentum as demonstrative examples. In this formalism,
rapidity divergences introduce a scheme dependence into the effective theory
and are associated with large logarithms appearing in the soft matching
conditions. This scheme dependence may be used to derive the corresponding
rapidity renormalization group equations, and rates naturally factorize into
hard, soft and jet contributions without the introduction of explicit modes.
