Abstract
The recently improved observation of the fine structure constant has led to a negative $2.4\sigma$ anomaly of electron $g-2$. Combined with the long-existing positive $4.2\sigma$ discrepancy of the muon anomalous magnetic moment, it is interesting and difficult to explain these two anomalies with a consistent model without introducing flavor violations. We show that they can be simultaneously explained in the inverse seesaw extended next-to-minimal supersymmetric standard model (ISS-NMSSM) by the Higgsino--sneutrino contributions to $(g-2)_e$ and $(g-2)_\mu$. The spectrum features prefer light $\mu$, which can predict $m_Z$ naturally, and it is not difficult to obtain a $\tau$-type sneutrino dark matter candidate that is compatible with the observed dark matter relic density and the bounds from dark matter direct detection experiments. Due to the compressed spectra and the undetectable decay mode of selectrons, they can evade the current Large Hadron Collider (LHC) constraints.
Highlights
SinceSchwinger showed that al ≡ ðgl − 2Þ=2 1⁄4α 2π [1], the anomalous magnetic moments of charged leptons have survived rigorous tests of the quantum electrodynamics and the later Standard Model (SM) of particle physics for more than half a century
Compared with the minimal supersymmetric standard model (MSSM) framework, the ISS-NMSSM is more natural for providing common explanations for Δae and Δaμ. We investigate this issue by applying the ISS-NMSSM to explain Δae and Δaμ
We proposed scenarios in the ISS-NMSSM that explain both electron and muon g − 2 anomalies without introducing leptonic flavor violation
Summary
Α 2π [1], the anomalous magnetic moments of charged leptons have survived rigorous tests of the quantum electrodynamics and the later Standard Model (SM) of particle physics for more than half a century. In a generic NP model without flavor violation, the new contribution to the anomalous magnetic moment aNl P is proportional to the mass square of the lepton times an NP factor RNl P. In the ISS-NMSSM explanation, the masses of winolike particles can be much heavier than the current LHC bounds. Due to the singlet nature, the DM-nucleus scattering cross section is naturally suppressed below the current experimental detection limits [72,73,74] In this case, the neutral Higgsinos are the next-to-lightest supersymmetric particles (NLSPs) that decay into the invisible final states of the collider (H 0 → νν).
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