Charge and Color Breaking conditions associated with the top quark Yukawa coupling
Abstract
In the MSSM, the Charge and Color Breaking (CCB) vacuum in the plane (H2,tL, tR) typically deviates largely from all D-flat directions, due to the large effects induced by the presence of the top quark Yukawa coupling. As a result, the critical CCB bound on the trilinear soft term At becomes more restrictive than the D-flat bound At2 3 (mtL2+mtR2+m22). For large β, we consider the effect of a splitting between the soft squark masses mtL,mtR on this optimal CCB bound and give a useful approximation for it, accurate within 1% in all interesting phenomenological cases. The physical implications on the top squark mass spectrum and the one-loop upper bound on the lightest CP-even Higgs boson mass are also discussed in a model-independent way.
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