  We study a generalization of anomaly-mediated supersymmetry breaking (AMSB)
scenarios, under the assumption that the effects of the high-scale theory do
not completely decouple and D-term type contributions can be therefore present.
We investigate the effect of such possible D-term additional contributions to
soft scalar masses by requiring that, for non-vanishing, renormalizable Yukawa
couplings $Y^{ijk} $, the sum of squared soft supersymmetry breaking mass
parameters, $M^2_{ijk} \equiv m_i^2+m_j^2+m_k^2$, is RG-invariant, in the sense
that it becomes independent of the specific ultraviolet boundary conditions as
it occurs in the AMSB models. These type of models can avoid the problem of
tachyonic solutions for the slepton mass spectrum present in AMSB scenarios. We
implement the electroweak symmetry breaking condition and explore the sparticle
spectrum associated with this framework. To show the possible diversity of the
sparticle spectrum, we consider two examples, one in which the D-terms induce a
common soft supersymmetry breaking mass term for all sfermion masses, and
another one in which a light stop can be present in the spectrum.
