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The August 2011 Higgs mass prediction was based on an ongoing six yearproject studying M-theory compactified on a manifold of G2 holonomy, withsignificant contributions from Jing Shao, Eric Kuflik, and others, andparticularly co-led by Bobby Acharya and Piyush Kumar. The M-theory resultsinclude: stabilization of all moduli in a de Sitter vacuum; gauge couplingunification; derivation of TeV scale physics (solving the hierarchy problem);the derivation that generically scalar masses are equal to the gravitino masswhich is larger than about 30 TeV; derivation of the Higgs mechanism viaradiative electroweak symmetry breaking; absence of the flavor and CP problems,and the accommodation of string axions. tan beta and the mu parameter are partof the theory and are approximately calculated; as a result, the littlehierarchy problem is greatly reduced. This paper summarizes the resultsrelevant to the Higgs mass prediction. A recent review describes the programmore broadly. Some of the results such as the scalar masses being equal to thegravitino mass and larger than about 30 TeV, derived early in the program, holdgenerically for compactified string theories as well as for compactifiedM-theory, while some other results may or may not. If the world is described byM-theory compactified on a G2 manifold and has a Higgs mechanism (so it couldbe our world) then the Higgs mass was predicted to be 126 +/- 2 GeV before themeasurement. The derivation has some assumptions not related to the Higgs mass,but involves no free parameters.

Review and Update of the Compactified M/string Theory Prediction of the Higgs Boson Mass and Properties