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These parameters are usually chosen as. After diagonalizing the mass matrix in Eq. Similarly, the mass eigenstates of the CP-odd states A i are given by. In this work, we first perform a comprehensive scan over the parameter space of the NMSSM by considering various experimental constraints. Then for the surviving samples we investigate the features of the light scalar. Since for the NMSSM there are too many free parameters, we make the following assumptions to simplify our analysis:. So we fix all soft breaking parameters i.

We checked that our conclusions are not sensitive to this sector. Third, since we require the NMSSM to explain the discrepancy of the measured value of the muon anomalous magnetic moment from its SM prediction, i. Finally, we note that our results are not sensitive to gluino mass, we fix it at 2 TeV. In our scan, we only keep the samples that predict a SM-like Higgs boson h with mass around GeV e.

We implement these constraints by the package HiggsBounds We compute these observables with the formula presented in cao-zbb.

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For each surviving sample, we further perform a fit using the latest Higgs data presented at the Rencontres de Moriond We totally use 24 sets of experimental data with 22 of them corresponding to the measured signal strengthes and the other 2 being the combined mass of the Higgs boson reported by the ATLAS and the CMS collaborations respectively. As in our previous works hfit-our , we use the method first introduced in hfit-first to perform the fit, and properly consider the correlations of the data as in Gunion ; Gunion.

This table also indicates that, in order to predict a light singlet-dominated A 1 , the value of M P should be less than GeV. This feature is exhibited in Fig.

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This conclusion is independent of the value of m A 1. This result can be seen as an update of that in Belanger after the Rencontres de Moriond , but different from those in Ananthanarayan for different data treatments. This feature is shown in Fig. About Case A, more points should be noted.

To exhibit this conclusion, we show in Fig. This figure indicates that the singlet component coefficient of A 1 i. U 12 is larger than 0.

This figure also indicates that the SM-like h 1 has a very small singlet component i. We emphasize that the parameter M A in this table is defined at the scale of 2 TeV, and in calculating the CP-odd Higgs boson masses by the NMSSMTools we use the value at the mass scale of the third generation squarks which can be obtained by the renormalization group equation. This is helpful to suppress the mass of A 1. In Fig.

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Consequently, the properties of the SM-like Higgs boson are expected to deviate greatly from the SM prediction. To summarize, Fig. Also as in Case A, a strong correlation between some parameters is needed to predict a doublet dominated A 1. From Eq. So, except for the correlation shown on the left panel of Fig. These features are presented in Fig. One should also note that, as shown in Fig. In summary, one may conclude that the current experiments still allow for the existence of a light scalar CP-even or CP-odd.

But the LHC Higgs data have required it to be highly singlet dominated.

Moreover, in the NMSSM either h 1 or h 2 may play the role of the SM-like Higgs boson h , and for each case the properties of h may be quite different. As discussed in the preceding section, if there exists a light scalar with mass lighter than half the SM-like Higgs boson mass in the NMSSM, it should be highly singlet dominated. Consequently, its interactions with the fermions and the gauge bosons in the SM are very weak, which implies that this scalar is difficult to search at colliders.

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