Yukawa Unification and Unstable Minima of the Supersymmetric Scalar Potential

Abstract

Motivated by the possibilities of $b-\tau$ or $t-b-\tau$ Yukawa unification in the supersymmetric Grand Unified Theories, we consider the dangerous directions of the supersymmetric potential for large values of $\tan \beta (\ge 30)$, in two versions of the minimal supergravity model with and without common soft breaking scalar masses at the GUT scale, where the potential may become unbounded from below. We find that for the common trilinear coupling $A_0\le 0$ the requirement of $b-\tau$ unification in conjunction with the stability condition on the potential yields highly restrictive sparticle spectra with upper, and in many cases, lower bounds stronger than the available experimental lower bounds, on the soft SUSY breaking common scalar mass and the common gaugino mass. Over a significant region of the parameter space, the model becomes even more restrictive if the common sfermion soft mass is different from the soft mass for the Higgs sector. We also find that the bulk of this restricted parameter space can be probed at the LHC. Im models with $t-b-\tau$ Yukawa unification, $A_0\le 0$ is ruled out from potential constraints.

LaTeX2e, 19 pages, includes 12 postscript figures, now properly enclosed (there was a bug in the original submission)

References in corpus (3)

• Sparticle Mass Spectra from SO(10) Grand Unified Models with Yukawa Coupling Unification
• Measurements in SUGRA Models with Large tan beta at LHC
• Effects of SO(10) D-Terms on SUSY Signals at the Tevatron

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• Testing the AMSB Model via $e^{+}{e}^{-}\to {\tilde{\chi }}^{+}{\tilde{\chi }}^{-}\gamma$}
• LEP Data and the Stability of the Potential Confront the mSUGRA Model
• Electroweak Precision Data, Light Sleptons and Stability of the SUSY Scalar Potential
• Stability constraints in triplet extension of MSSM
• Effects of SO(10) D-Term on Yukawa Unification and Unstable Minima of the Supersymmetric Scalar Potential
• On Nonstandard Vacuua in Minimal Supergravity Models
• Indian Contributions to LHC Theory