## Abstract

We consider very constrained versions of the minimal supersymmetric extension of the standard model (VCMSSMs) which, in addition to constraining the scalar masses m_{0} and gaugino masses m_{1/2} to be universal at some input scale, impose relations between the trilinear and bilinear soft supersymmetry-breaking parameters A_{0} and B_{0}. These relations may be linear, as in simple minimal supergravity models, or nonlinear, as in the Giudice-Masiero mechanism for generating the Higgs-mixing μ term. We discuss the application of the electroweak vacuum conditions in VCMSSMs, which may be used to make a prediction for tanβ as a function of m _{0} and m_{1/2} that is usually unique. We baseline the discussion of the parameter spaces allowed in VCMSSMs by updating the parameter space allowed in the CMSSM for fixed values of tanβ with no relation between A_{0} and B_{0} assumed a priori, displaying contours of B_{0} for a fixed input value of A_{0}, incorporating the latest CDF/DO measurement of m_{t} and the latest BNL measurement of g_{μ} - 2. We emphasize that phenomenological studies of the CMSSM are frequently not applicable to specific VCMSSMs, notably those based on minimal supergravity, which require m_{0} = m_{3/2} as well as A_{0} = B_{0} + m_{0}. We then display (m_{1/2}, m_{0}) planes for selected VCMSSMs, treating in a unified way the parameter regions where either a neutralino or the gravitino is the lightest supersymmetric particle. In particular, we examine in detail the allowed parameter space for the Giudice-Masiero model.

Original language | English (US) |
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Article number | 055005 |

Pages (from-to) | 055005-1-055005-15 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 70 |

Issue number | 5 |

DOIs | |

State | Published - Sep 2004 |

### Bibliographical note

Funding Information:The work of K. A. O., Y. S., and V. C. S. was supported in part by DOE Grant No. DE-FG02-94ER-40823. Y. S. would like to thank D. A. Demir for asking about the Giudice-Maisero mechanism in this context, and for helpful conversations.