Abstract
We investigate the vacuum stability conditions of theSupersymmetric reduced minimal 331 model (SUSYRM331) that createimportant consequences on Higgs mass spectrum as well assoft-parameters of the model. We prove that if this condition issatisfied then all Higgses are massive. Furthermore,soft-parameters should be in order of \(SU(3)_L\) scale. Based onthis, we investigate in detail masses of CP-even neutral anddoubly charged Higgses in the model. The neutral Higgs sectorincludes one light Higgs with mass at tree level \(m_{H^0_1}\simeq m_Z|\cos 2\gamma | < 92.0\) GeV and three other heavy Higgses. Fordoubly charged Higgses, there may exist a light Higgs which can beobserved by recent colliders such as LHC.
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