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In the MSSM, the Charge and Color Breaking (CCB) vacuum in the plane$(H_2,\tilde{t}_L, \tilde{t}_R)$ typically deviates largely from all D-flatdirections, due to the large effects induced by the presence of the top quarkYukawa coupling. As a result, the critical CCB bound on the trilinear soft term$A_t$ becomes more restrictive than the D-flat bound $A_t^2 \le 3(m_{\tilde{t}_L}^2+m_{\tilde{t}_R}^2+m_2^2)$. For large $\tan \beta$, weconsider the effect of a splitting between the soft squark masses$m_{\tilde{t}_L},m_{\tilde{t}_R}$ on this optimal CCB bound and give a usefulapproximation for it, accurate within 1% in all interesting phenomenologicalcases. The physical implications on the top squark mass spectrum and theone-loop upper bound on the lightest CP-even Higgs boson mass are alsodiscussed in a model-independent way.Comment: 17 pages, 4 figures, version published in Physical Review

Charge and color breaking conditions associated with the top quark Yukawa coupling