Muon anomalous magnetic moment in the supersymmetric economical 3-3-1 model

We investigate the muon anomalous magnetic moment in the context of a supersymmetric version of the economical 3-3-1 model. We compute the 1-loop contribution of superpartner particles. We show that the contribution of superparticle loops become significant when tanγ is large. We investigate the cases of both small and large values of tanγ. We find the region of the parameter space where the slepton masses of a few hundred GeV are favored by the muon g–2 for small tanγ (tanγ ≈ 5). Numerical estimation gives the mass of supersymmetric particles, the mass of gauginos m _G ≈ 700 GeV, and the light slepton mass \(m_{\tilde L} \) of the order of O (100) GeV. When tanγ is large (tanγ ≈ 60), the charged slepton mass \(m_{\tilde L} \) and the gaugino mass m _G are O(1) TeV, while the sneutrino mass ≈450 GeV is in the reach of the LHC.