  We study mono-Higgs signatures emerging in the $B-L$ supersymmetric standard
model induced by new channels not present in the minimal supersymmetric
standard model, i.e., via topologies in which the mediator is either a heavy
$Z'$, with mass of ${\cal O}(2~{\rm TeV})$, or an intermediate $h'$ (the
lightest CP-even Higgs state of $B-L$ origin), with mass of ${\cal O}(0.2~{\rm
TeV})$. The mono-Higgs probe considered is the SM-like Higgs state recently
discovered at the large hadron collider, so as to enforce its mass
reconstruction for background reduction purposes. With this in mind, its two
cleanest signatures are selected: $\gamma\gamma$ and $ZZ^*\to 4l$ ($l=e,~\mu$).
We show how both of these can be accessed with foreseen energy and luminosity
options using a dedicated kinematic analysis performed in presence of partonic,
showering, hadronisation and detector effects.
