Smuon in the NMSSM confronted with the muon g-2 anomaly and SUSY searches

Motivated by recent supersymmetry (SUSY) search results, which prefer most SUSY particles to be heavy, and the muon g-2 anomaly, which prefers colorless SUSY particles to be light, we explore the status of a light smuon (the SUSY partner of a left-handed muon lepton) in the next-to-minimal supersymmetric standard model (NMSSM). Assuming colored SUSY particles to be heavy, and considering numerous experimental constraints, including muon g-2, SUSY searches, and dark matter, we scan the parameter space in the NMSSM with Z(3)-symmetry and check the status of colorless SUSY particles and their possible mass order, paying special attention to the smuon. After calculations and discussions, we find that the surviving samples can be divided into several scenarios, where the mass region and decay information of the smuon are given. Overall, the smuon mass can be approximately 0.1 similar to 1.8 TeV. These results may be useful for smuon searches at the LHC and future colliders.