  We use massive CSW rules to derive explicit compact expressions for
integrands of rational terms in QCD with any number of external legs.
Specifically, we present all-n integrands for the one-loop all-plus and
one-minus gluon amplitudes in QCD. We extract the finite part of spurious
external-bubble contributions systematically; this is crucial for the
application of integrand-level CSW rules in theories without supersymmetry. Our
approach yields integrands that are independent of the choice of CSW reference
spinor even before integration.
  Furthermore, we present a recursive derivation of the recently proposed
massive CSW-style vertex expansion for massive tree amplitudes and loop
integrands on the Coulomb-branch of N=4 SYM. The derivation requires a careful
study of boundary terms in all-line shift recursion relations, and provides a
rigorous (albeit indirect) proof of the recently proposed construction of
massive amplitudes from soft-limits of massless on-shell amplitudes. We show
that the massive vertex expansion manifestly preserves all holomorphic and half
of the anti-holomorphic supercharges, diagram-by-diagram, even off-shell.
