  The presence of a Higgsino-like neutralino next-to-lightest sparticle (NLSP)
and a keV scale gravitino ($\widetilde{G}$) LSP opens up new decay modes of the
NLSP, mainly to a Higgs/$Z$ boson and the LSP. Besides, a keV-scale gravitino
as a warm dark matter candidate salvages a relatively-light Higgsino-like NLSP
from dark matter constraints. We focus on the prospects of observing at least
one b jet and two opposite sign leptons with a large missing transverse momenta
($\geq 1 b$ $+$ $ \ell^+\ell^-+\not{\!\!E}_T$) signal at the LHC. A
distinguishing feature of this scenario is the production of longitudinal $Z$
bosons in neutralino decays, unlike in the case of gauginolike neutralinos,
where the $Z$ is mostly transverse. The polarisation information of the parent
$Z$ boson gets reflected in the angular distributions of the decay leptons and
in some other variables derived therefrom.
