Charge and color breaking minima and constraints on the MSSM parameters

The MSSM potential can have unphysical minima deeper than the physically acceptable one. We point out that their presence is quite generic in SO(10) unification with supergravity mediated soft terms. However, at least for moderate values of

tan\beta

, the physically acceptable vacuum has a life-time longer than the universe age. Furthermore, by discussing the evolution of the universe in an inflationary scenario, we show that the correct vacuum is the natural expectation. This is not the tendency in more general cases of unphysical minima. Even in the SO(10) case, the weak assumptions necessary for this may prevent to use the

\tilde\nu h~u

direction for baryogenesis alla Affleck-Dine.

Note:

9 pages with all figures included. All files are also avaible at http://www.ft.uam.es/strumia/12Art/pstops.html A misprint corrected Report-no: FT-UAM 96/14

Supersymmetry, constraint
Potential, supersymmetry
Grand unified theory, SO(10)
Supergravity
Vacuum state, lifetime
Astrophysics, model
Inflationary universe
Numerical calculations
Salam-Weinberg model
supersymmetry: constraint

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