Optimal Charge and Color Breaking conditions in the MSSM

Abstract

In the MSSM, we make a careful tree-level study of Charge and Color Breaking conditions in the plane $(H_2,{\tilde{u}}_L,{\tilde{u}}_R)$, focusing on the top quark scalar case. A simple and fast procedure to compute the VEVs of the dangerous vacuum is presented and used to derive a model-independent optimal CCB bound on $A_t$. This bound takes into account all possible deviations of the CCB vacuum from the D-flat directions. For large $\tan \beta$, it provides a CCB maximal mixing for the stop scalar fields ${\tilde{t}}_1,{\tilde{t}}_2$, which automatically rules out the Higgs maximal mixing $|A_t|=\sqrt{6}{m}_{\tilde{t}}$. As a result, strong limits on the stop mass spectrum and a reduction, in some cases substantial, of the one-loop upper bound on the CP-even lightest Higgs boson mass, $m_h$, are obtained. To incorporate one-loop leading corrections, this tree-level CCB condition should be evaluated at an appropriate renormalization scale which proves to be the SUSY scale.

41 pages, 7 eps figures, minor corrections, references added, to appear in Nucl. Phys. B

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