  A search is presented for the direct pair production of a chargino and a
neutralino $pp\to\tilde{\chi}^\pm_1\tilde{\chi}^0_2$, where the chargino decays
to the lightest neutralino and the $W$ boson, $\tilde{\chi}^\pm_1 \to
\tilde{\chi}^0_1 (W^{\pm}\to\ell^{\pm}\nu)$, while the neutralino decays to the
lightest neutralino and the 125 GeV Higgs boson, $\tilde{\chi}^0_2 \to
\tilde{\chi}^0_1 (h\to bb/\gamma\gamma/\ell^{\pm}\nu qq)$. The final states
considered for the search have large missing transverse momentum, an isolated
electron or muon, and one of the following: either two jets identified as
originating from bottom quarks, or two photons, or a second electron or muon
with the same electric charge. The analysis is based on 20.3 fb$^{-1}$ of
$\sqrt{s}=8$ TeV proton-proton collision data delivered by the Large Hadron
Collider and recorded with the ATLAS detector. Observations are consistent with
the Standard Model expectations, and limits are set in the context of a
simplified supersymmetric model.
