Solving The Muon g-2 Anomaly With Natural NMSSM From Generalized Deflected AMSB

We propose to realize (natural) NMSSM spectrum from deflected AMSB with new messenger-matter interactions. With additional messenger-matter interactions involving $\mathbf{10}\oplus \overline{\mathbf{10}}$ representation messengers, the muon g-2 anomaly can be solved at $2\sigma$ (or $3\sigma$) level with the corresponding gluino mass range $2.8\mathrm{T}\mathrm{e}\mathrm{V}<m_{\tilde{g}}<5.4\mathrm{T}\mathrm{e}\mathrm{V}$ (or $2.6\mathrm{T}\mathrm{e}\mathrm{V}<m_{\tilde{g}}<7.3\mathrm{T}\mathrm{e}\mathrm{V}$). Besides, our scenario is fairly natural within which the involved fine tuning can be as low as 47. So, in the framework of AMSB-type scenarios, NMSSM can be advantageous in explaining the muon g-2 anomaly in compare with MSSM.