  We discuss recent developments in descriptions of processes using power
expansion around the lightcone within Soft-Collinear Effective Theory. First,
we present an overview of the systematically improvable framework that enables
factorization of high-energy scattering processes beyond leading power in the
expansion in ratios of energy scales. As an illustration of the relevant
concepts, we describe the recently derived factorization theorem for the
off-diagonal channel of the Drell-Yan production process at threshold. This
example exposes endpoint divergences appearing in convolution integrals in
factorization formulas. Lastly, we discuss the solution to these complications
developed in the context of ''gluon thrust'' in $e^+e^-$ collisions.
