| Summary: | Abstract We propose to realize the (natural) NMSSM spectrum from deflected AMSB with new messenger-matter interactions. With additional messenger-matter interactions involving 10 ⊕ 10 ¯ $$ \mathbf{10}\oplus \overline{\mathbf{10}} $$ representation messengers, the muon g-2 anomaly can be solved at 2σ (or 3σ) level with the corresponding gluino mass range 2.8 TeV < m g ˜ $$ {m}_{\tilde{g}} $$ < 5.4 TeV (or 2.6 TeV < m g ˜ $$ {m}_{\tilde{g}} $$ < 7.3 TeV). 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, the NMSSM can be advantageous to explain the muon g-2 anomaly in compare with the MSSM.
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