In this paper we discuss the issues of supersymmetry breaking and moduli
stabilization within the context of E_8 x E_8 heterotic orbifold constructions
and, in particular, we focus on the class of "mini-landscape" models. In the
supersymmetric limit, these models admit an effective low energy field theory
with a spectrum of states and dimensionless gauge and Yukawa couplings very
much like that of the MSSM. These theories contain a non-Abelian hidden gauge
sector which generates a non-perturbative superpotential leading to
supersymmetry breaking and moduli stabilization. We demonstrate this effect in
a simple model which contains many of the features of the more general
construction. In addition, we argue that once supersymmetry is broken in a
restricted sector of the theory, then all moduli are stabilized by supergravity
effects. Finally, we obtain the low energy superparticle spectrum resulting
from this simple model.Comment: LaTeX, v2: 57+1 pages, 4 figures, 8 Tables, added references; this
version i) discusses volume moduli stabilization with exponentials of both
sign (as sometimes mandated by modular invariance); ii) includes the
anomalous U(1)_A D-term & the leading Coleman-Weinberg 1-loop correction into
the MSSM soft masses to prevent tachyonic results
