Naturally Large Tan $\beta$

Abstract

We show that if there are only two Higgs doublets in the supersymmetric standard model, large $\tan \beta$ requires a fine tuning in the parameters of the Lagrangian of order ($1/\tan \beta$), which cannot be explained by any approximate symmetry. With an extended Higgs sector, large $\tan \beta$ can be natural. We give an explicit example with four doublets in which it is possible to achieve large $\tan \beta$ as a result of an approximate symmetry, without any light superpartners. The approximate symmetry can be extended to explain all the hierarchies in the quark mass matrix.

8 pages (uses harvmac), UCSD/PTH 93-24, MIT-CTP-2230

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• Mass Matrix Models
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