Derivation of $m_A\simeq M_Z$ and $\tan \beta >\sqrt{3}$ in the Minimal Supersymmetric Standard Model

Abstract

In the minimal supersymmetric standard model, the Higgs sector has two unknown parameters, usually taken to be $\tan \beta \equiv v_2/v_1$ and $m_A$, the mass of its one physical pseudoscalar particle. By minimizing the minimum of the Higgs potential along a certain direction in parameter space, it is shown that $m_A=M_Z$ + radiative correction, and if one further plausible assumption is made, $\tan \beta >\sqrt{3}$.

Comments: 7 pages, University of California, Riverside Report No. UCRHEP-T105 (Feb 1993). [Discussion of radiative correction is now included.]