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The CMS and ATLAS experiments at the LHC have announced the discovery of aHiggs boson with mass at approximately 125 $GeV/c^{2}$ in the search for theStandard Model Higgs boson via notably the $\gamma\gamma$ and $ZZ$ to fourleptons final states. Considering the recent results on the Higgs bosonsearches from the LHC, we study the lightest scalar Higgs boson $h_{1}$ in theNext-to-Minimal Supersymmetric Standard Model by restricting thenext-to-lightest scalar Higgs boson $h_{2}$ to be the observed 125 $GeV/c^{2}$state. We perform a scan over the relevant NMSSM parameter space that isfavoured by low fine-tuning considerations. Moreover, we also take theexperimental constraints from direct searches, $B$-physics observables, relicdensity and anomalous magnetic moment of the muon measurements as well as thetheoretical considerations into account in our specific scan. We find that thesignal rate in the two-photon final state for the NMSSM Higgs boson $h_{1}$with the mass range from approximately 80 $GeV/c^{2}$ to 122 $GeV/c^{2}$ can beenhanced by a factor up to 3.5, when the Higgs boson $h_{2}$ is required to becompatible with the excess from latest LHC results. This motivates theextension of the search at the LHC for the Higgs boson $h_{1}$ in the diphotonfinal state down to masses of 80 $GeV/c^{2}$ or lower, in particular with theupcoming proton-proton collision data to be taken at center-of-mass energies of13-14 $TeV$.

Study of diphoton decays of the lightest scalar Higgs boson in the Next-to-Minimal Supersymmetric Standard Model