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Vacuum stability in supersymmetric reduced minimal 3-3-1 mode

Based on this, we investigate in detail masses of CP-even neutral and doubly charged Higgses in the model. The neutral Higgs sector includes one light Higgs with mass at tree level mH0 1 ≃ mZ | cos 2γ| < 92.0 GeV and three other heavy Higgses. For doubly charged Higgses, there may exist a light Higgs which can be observed by recent colliders such as LHC. | Communications in Physics, Vol. 23, No. 3 (2013), pp. 203-209 VACUUM STABILITY IN SUPERSYMMETRIC REDUCED MINIMAL 3-3-1 MODEL NGUYEN HUY THAO, LY THI MAI PHUONG Department of Physics, Hanoi University of Education No. 2, Vinh Phuc, Vietnam LE THO HUE Institute of Physics, Vietnam Academy of Science and Technology, Hanoi, Vietnam Email: nhthao@grad.iop.vast.ac.vn Received 01 September 2013; Accepted for publication 17 September 2013 ; Abstract. We investigate the vacuum stability conditions of the supersymmetric reduced minimal 331 model (SUSYRM331) that create important consequences on Higgs mass spectrum as well as soft-parameters of the model. We prove that if this condition is satisfied then all Higgses are massive. Furthermore, soft-parameters should be in order of SU (3)L scale. Based on this, we investigate in detail masses of CP-even neutral and doubly charged Higgses in the model. The neutral Higgs sector includes one light Higgs with mass at tree level mH 0 ≃ mZ | cos 2γ| = = )T )T 1 ( 1 ( √ 0 vρ + Hρ + iFρ 0 0 vρ′ + Hρ′ + iFρ′ 0 , = √ , 2 2 )T )T 1 ( 1 ( √ 0 0 vχ + Hχ + iFχ 0 0 vχ′ + Hχ′ + iFχ′ , = √ . 2 2 The minimum of the Higgs potential (1) appears when all linear Higgs terms in this potential vanish, namely 1 m2ρ + µ2ρ = 4 bρ 2g 2 + g12 ′2 2 g 2 + g12 ′2 2 − v (tγ − 1) + w (tβ − 1), tγ 12 12 bχ g 2 + g12 ′2 2 1 2g 2 + g12 ′2 2 m2χ + µ2χ = + v (tγ − 1) − w (tβ − 1), 4 tβ 12 12 ( ) ( ) 1 1 1 1 m2ρ + m2ρ′ + µ2ρ = bρ tγ + , m2χ + m2χ′ + µ2χ = bχ tβ + , 2 tγ 2 tβ where two new notations are used, tγ = tan γ = vv′ , tβ = tan β = gauge boson masses calculated in [3], we remind that m2W = g2 g2 2 (v + v ′2 ) = v ′2 (t2γ + 1); 4 4 m2V = w w′ . (2) Comparing with the g2 2 g2 (w + w′2 ) = w′2 (t2β + 1). (3) 4 4 VACUUM STABILITY IN SUSYRM 331 MODEL 205 Masses of these two gauge bosons will be used as independent parameters in our calculation. Four equations (2) now can be rewritten in forms of 1 m2ρ + µ2ρ = 4 m2χ + µ2χ 4 = s2γ ≡ sin 2γ = bρ