  In hep-ph/0011311 the one Higgs doublet standard model was obtained by an
orbifold projection of a 5D supersymmetric theory in an essentially unique way,
resulting in a prediction for the Higgs mass m_H = 127 \pm 8 GeV and for the
compactification scale 1/R = 370 \pm 70 GeV. The dominant one loop contribution
to the Higgs potential was found to be finite, while the above uncertainties
arose from quadratically divergent brane Z factors and from other higher loop
contributions. In hep-th/0108184, a quadratically divergent Fayet-Iliopoulos
term was found at one loop in this theory. We show that the resulting
uncertainties in the predictions for the Higgs boson mass and the
compactification scale are small, about 25% of the uncertainties quoted above,
and hence do not affect the original predictions. However, a tree level brane
Fayet-Iliopoulos term could, if large enough, modify these predictions,
especially for 1/R.
