  The study of amplitudes and cross sections in the soft and collinear limits
allows for an understanding of their all orders behavior, and the
identification of universal structures. At leading power soft emissions are
eikonal, and described by Wilson lines. Beyond leading power the eikonal
approximation breaks down, soft fermions must be added, and soft radiation
resolves the nature of the energetic partons from which they were emitted. For
both subleading power soft gluon and quark emissions, we use the soft collinear
effective theory (SCET) to derive an all orders gauge invariant bare
factorization, at both amplitude and cross section level. This yields universal
multilocal matrix elements, which we refer to as radiative functions. These
appear from subleading power Lagrangians inserted along the lightcone which
dress the leading power Wilson lines. The use of SCET enables us to determine
the complete set of radiative functions that appear to $\mathcal{O}(\lambda^2)$
in the power expansion, to all orders in $\alpha_s$. For the particular case of
event shape observables in $e^+e^-\to$ dijets we derive how the radiative
functions contribute to the factorized cross section to
$\mathcal{O}(\lambda^2)$.
