Extra dimensions prefer large $\tan\beta$

Abstract

Assuming that the recent result obtained from the Monte Carlo simulations on the nonperturbative existence of the pure SU(2) Yang-Mills theory in five dimensions can be applied to a more general class of higher-dimensional gauge theories, we derive the conditions imposed by the nontriviality requirement on the theories. We find that the supersymmetric grand unified theories with extra dimensions prefer a large value ($\gsim 2$) of $\tan\beta$ of the minimal supersymmetric standard model, in accord with today's possible observation of the Higgs particle at LEP2.