We analyze some phenomenological implications of heterotic M-theory with
five-branes. Recent results for the effective 4-dimensional action are used to
perform a systematic analysis of the parameter space, finding the restrictions
that result from requiring the volume of the Calabi-Yau to remain positive.
Then the different scales of the theory, namely, the 11-dimensional Planck
mass, the compactification scale and the orbifold scale, are evaluated.
The expressions for the soft supersymmetry-breaking terms are computed and
discussed in detail for the whole parameter space. With this information we
study the theoretical predictions for the supersymmetric contribution to the
muon anomalous magnetic moment, using the recent experimental result as a
constraint on the parameter space. We finally analyze the neutralino as a dark
matter candidate in this construction. In particular, the neutralino-nucleon
cross-section is computed and compared with the sensitivities explored by
present dark matter detectors.Comment: Final version to appear in Phys. Rev. D. Some comments and references
added. 37 pages, 19 figure