Abstract
Very recently, a Fermilab report of muon g− 2 showed a 4.2σ discrepancy between it and the standard model (SM) prediction. Motivated by this inspiring result and the increasing tension in supersymmetric interpretation of the anomalous magnetic moment, it is argued that in the general next-to-minimal supersymmetric standard model (GNMSSM), a singlino-dominated neutralino can act as a feasible dark matter (DM) candidate in explaining the discrepancy naturally. In this case, the singlino-dominated DM and singlet-dominated Higgs bosons can form a secluded DM sector with {overset{sim }{chi}}_1^0{overset{sim }{chi}}_1^0 → hsAs responsible for the measured DM relic abundance when {m}_{{overset{sim }{chi}}_1^0} ≳ 150 GeV and the Yukawa coupling κ is around 0.2. This sector communicates with the SM sector by weak singlet-doublet Higgs mixing, so the scatterings of the singlino-dominated DM with nucleons are suppressed. Furthermore, due to the singlet nature of the DM and the complex mass hierarchy, sparticle decay chains in the GNMSSM are lengthened in comparison with the prediction of the minimal supersymmetric standard model. These characteristics lead to sparticle detection at the Large Hadron Collider (LHC) being rather tricky. This study surveys a specific scenario of the GNMSSM, which extends the ℤ3-NMSSM by adding an explicit μ-term, to reveal the features. It indicates that the theory can readily explain the discrepancy of the muon anomalous magnetic moment without conflicting with the experimental results in DM and Higgs physics, and the LHC searches for sparticles.
Highlights
At present, low-energy supersymmetric theories are subjected to the increasingly tight constraints from Large Hadron Collider (LHC) experiments and dark matter (DM) search experiments
The phenomenology of the new Fermilab result of ∆aμ interpreted in the μNMSSM was investigated
Compared with the minimal supersymmetric standard model (MSSM) or the Z3-NMSSM, the strong exclusivity from DM physics and natural interpretations of ∆aμ is weak in the μNMSSM
Summary
Compared with the MSSM, the NMSSM introduces a singlet Higgs superfield S. It is instructive to point out that, the μNMSSM predicts five neutralinos, the singlino-induced contribution never makes sense, and the μNMSSM prediction of aSμUSY is roughly the same as that of the MSSM except that the μ parameter of the MSSM should be replaced by μ + μeff This feature can be understood by noting the fact that the field operator for aμ involves chiral flipped Muon leptons and adopting the mass insertion approximation in the calculation of aμ [93]. The contributions to aSμUSY in the MSSM can be classified into four types: “WHL”, “BHL”, “BHR”, and “BLR”, where W , B, H, L, and R stands for wino, bino, higgsino, left-handed and right-handed smuon field, respectively They arise from the Feynman diagrams involving W − Hd, B − Hd0, B − Hd0, and μL − μR transitions, respectively. The WHL contribution is usually much larger than the other contributions if μL is not significantly heavier than μR
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