  In this work we present the computation of the Higgs decay into a photon and
a $Z^0$ boson at one-loop level in the framework of the Next-to-Minimal
Supersymmetric Standard Model (NMSSM). The numerical evaluation of this decay
width was performed within the framework of the SloopS code, orginally
developped for the Minimal Supersymmetric Standard Model (MSSM) but which was
recently extended to deal with the NMSSM. Thanks to the high level of
automation of SloopS all contributions from the various sector of the NMSSM are
consistently taken into account, in particular the non-diagonal chargino and
sfermion contributions. We then explored the NMSSM parameter space, using
HiggsBounds and HiggsSignals, to investigate to which extent these signal can
be enhanced.
