| As one of the most powerful tools for testing the Standard Model(SM),the anomalous muon magnetic moment has attracted widespread attention from physicists.The measurement accuracy of the E821 experiment recently achieved by Brookhaven National Laboratory(BNL)has reached 0.54 parts per million(ppm).The results show a deviation of 3.5σ from the theoretical calculation of SM.If the central values of experimental measurements and theoretical predictions remain unchanged,the deviation of the upcoming Fermi E989 experiment and aμSM can reach 5σ.To solve the problem,we consider the inverse seesaw mechanism which extends the Next-to-Minimal Supersymmetric Standard Model(NMSSM)by only two gauge singlet chiral fields(?)and(?)for each generation with lepton numbers L=-1 and L=+1 respectively.In addition,the lightest sneutrino in ISS-NMSSM may act a feasible dark matter candidate.In this paper,we first give a short review of the origin of the anomalous muon magnetic moment and related experimental measurements,then briefly introduce the theoretical calculation in SM.Based on these,we introduces the anomalous muon magnetic moment in the new physical models.Neither the introduction of additional vector bosons nor the extensions of the Higgs sector of the SM seem to explain Δaμ naturally.When Δ=6 in extra dimensions models,the contribution of the anomalous muon magnetic moment is significant.The Minimum Supersymmetric Standard Model(MSSM)introduces additional supersymmetric contribution,but its parameter space is severely limited by LHC experiments.Finally,we carried out a theoretical study of the anomalous muon magnetic moment in IS S-NMSSM and performed a comprehensive scan over the parameter space of the theory by the genetic algorithm(GA)method.We considered the constraints arising from the LHC experiments,B-physics observations,Higgs sector,and dark matter experiments.We select the parameter space of one of the best solutions as a benchmark point for assessing the potential of the ISS-NMSSM to account for Δaμ.The results show thatΔaμ is 2.318 × 10-9,which can improve the deviation between the experimental results and the SM theory without contradicting the results of collider and DM direct detection experiments.Moreover,the lightest right-handed sneutrino serves as a good dark matter candidate,and it can naturally satisfied the dark matter direct detection and indirect detection experiments through Co-annihilation.We conclude that the anomalous muon magnetic moment can be explained naturally in ISS-NMSSM,and a feasible dark matter candidate is given at the same time. |
