Abstract
We present benchmark planes (or lines) with cross sections via gluon fusion for the processes $H\rightarrow h+H_{S}$, resonant Higgs pair and triple Higgs production, $A \rightarrow h+(A_S \rightarrow \gamma \gamma )$, $A \rightarrow Z+ h$ and $A \rightarrow Z+ H_{S}$ within the Next-to-Minimal Supersymmetric Standard Model. Moreover we propose new searches for $H\rightarrow h+(H_{S} \rightarrow t{\bar{t}})$, $A \rightarrow Z+ (H_{S}\rightarrow h+h)$ and $A \rightarrow Z+ (H_{S}\rightarrow t{\bar{t}})$ for which possible cross sections are given. These allow the experimental collaborations to verify in the future which search channels cover yet unexplored regions of the parameter space. Expressions for the dominant contributions to trilinear Higgs couplings and Higgs–Z couplings are discussed which allow to identify the dominant processes contributing to a given final state.