Light Higgs boson in the NMSSM confronted with the CMS di-photon and di-tau excesses

In 2018, the CMS collaboration reported a di-photon excess at approximately 95.3 GeV with a local significance of 2.8 σ. Interestingly, the CMS collaboration also recently reported a di-tau excess at 95-100 GeV with a local significance of 2.6-3.1 σ. In addition, a bb excess at 98 GeV with a local significance of 2.3 σ was reported from LEP data approximately twenty years ago. In this study, we addressed the interpretation of these excesses together with a light Higgs boson in the next-to-minimal supersymmetric standard model(NMSSM). We conclude that, in the NMSSM, the 95-100 GeV excesses are difficult to be satisfied simultaneously(not possible globally at the 1σ level or simultaneously at the 2σ level). We analyzed two partially-satisfied scenarios: global 2σ and small di-photon. An approximate equation of global fit to the three excesses was derived, and two representative types of surviving samples were analyzed in detail. Given that the mass regions of these excesses are near the Z boson, we also checked the light Higgs boson in the tt-associated channels. The detailed results may be useful for further checking the low-mass-region excesses in the future.