Explanation, update and extension of compactified M/string theory prediction of the Higgs boson mass

I explain, update and extend the August 2011 prediction of Higgs boson masses and properties in compactified M/string theories, and summarize related LHC predictions. The theories have stabilized moduli, no hierarchy problem, reduced little hierarchy, electroweak symmetry breaking, no free parameters, some associated phenomenological successes, etc. I conclude with a description of current challenges in this area.