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Noscale supersymmetry (SUSY) breaking model is investigated in the minimalextension of the minimal supersymmetric standard model (MSSM) with a gaugedU(1)_{B-L} symmetry. We specifically consider a unification-inspired model withthe gauge groups SU(3)_{C} \times SU(2)_{L} \times U(1)_Y \times U(1)_{B-L}\subset SU(5) \times U(1)_{5} for illustration. While the noscale boundarycondition at the grand unification scale (M_{G}\simeq 2\times 10^{16} GeV) inthe MSSM is not consistent with phenomenological constraints, we show that itis if the gaugino of the U(1)_{5} multiplet is several times heavier than thegauginos of the MSSM. However, if SU(5) \times U(1)_{5} is further embedded ina larger simple group, e.g. SO(10), the noscale boundary condition at M_{G} isinconsistent with phenomenological constraints. If we relax the noscaleboundary condition and allow non-zero soft scalar masses for the Higgs fieldswhich spontaneously break the U(1)_{5} symmetry, the resultant spectrum of SUSYparticles becomes consistent with all the phenomenological constraints, even ifwe impose the GUT relation on the gauge coupling and the gaugino mass of theU(1)_{5}. In this case, the SUSY CP problem is also solved, since the conditionB\mu =0 at the boundary can be imposed consistently with the electroweaksymmetry breaking.Comment: 23 pages, 5 eps figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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Investigation of no-scale supersymmetry breaking models with a gaugedU(1)B−Lsymmetry