  Anomaly-mediated supersymmetry breaking (AMSB) models seem to have become
increasingly implausible due to 1. difficulty in generating a Higgs mass
m(h)~125 GeV, 2. typically unnatural superparticle spectra characterized by a
large superpotential mu term and 3. the possibility of a wino-like lightest
SUSY particle (LSP) as dark matter now seems to be excluded. In the present
paper we propose some minor modifications to the paradigm model which solve
these three issues. Instead of adding a universal bulk scalar mass to avoid
tachyonic sleptons, we add distinct Higgs and matter scalar soft masses which
then allow for light higgsinos. To gain accord with the measured Higgs mass, we
also include a bulk trilinear soft term. The ensuing natural generalized AMSB
(nAMSB) model then has a set of light higgsinos with mass nearby the weak scale
m(W,Z,h)~100 GeV as required by naturalness while the winos populate the
several hundred GeV range and gluinos and squarks occupy the multi-TeV range.
For LHC searches, the wino pair production followed by decay to same-sign
diboson signature channel offers excellent prospects for discovery at high
luminosity LHC along with higgsino pair production leading to soft dileptons
plus jet(s)+MET. A linear e^+e^- collider operating above higgsino pair
production threshold should be able to distinguish the AMSB gaugino spectra
from unified or mirage unified scenarios. Dark matter is expected to occur as a
higgsino-like WIMP plus axion admixture.
