  In 2018, the CMS collaboration reported a di-photon excess around 95.3 GeV
with a local significance of 2.8 $\sigma$. Interestingly, the CMS collaboration
also reported a di-tau excess recently at 95 $\sim$ 100 GeV with a local
significance of 2.6 $\sim$ 3.1 $\sigma$. Besides, a $b\bar{b}$ excess at 98 GeV
with a 2.3 $\sigma$ local significance was reported with LEP data about twenty
years ago. In this work, we consider interpreting these excesses together with
a light Higgs boson in the next-to-minimal supersymmetric standard model
(NMSSM). We conclude that in NMSSM the 95 $\sim$ 100 GeV excesses are difficult
to be satisfied simultaneously (not possible globally at $1\sigma$ level, or
simultaneously at $2\sigma$ level), and we analyze two partial-satisfied
scenarios: the globally $2\sigma$ scenario and small di-photon scenario. An
approximate equation of global fit to the three excesses is derived, and two
representative types of surviving samples are analyzed in detail. Since the
mass regions of these excesses are near the Z boson, we also consider checking
the light Higgs boson in the $t\bar{t}$-associated channels. The detailed
results may be useful for further checking the low-mass-region excesses in the
future.
