Compactified String Theories -- Generic Predictions for Particle Physics

Abstract

In recent years it has been realized that in string/$M$ theories compactified to four dimensions which satisfy cosmological constraints, it is possible to make some generic predictions for particle physics and dark matter: a non-thermal cosmological history before primordial nucleosynthesis, a scale of supersymmetry breaking which is "high" as in gravity mediation, scalar superpartners too heavy to be produced at the LHC (although gluino production is expected in many cases), and a significant fraction of dark matter in the form of axions. When the matter and gauge spectrum below the compactification scale is that of the MSSM, a robust prediction of about 125 GeV for the Higgs boson mass, predictions for various aspects of dark matter physics, as well as predictions for future precision measurements, can be made. As a prototypical example, $M$ theory compactified on a manifold of $G_2$ holonomy leads to a good candidate for our "string vacuum", with the TeV scale emerging from the Planck scale, a de Sitter vacuum, robust electroweak symmetry breaking, and solutions of the weak and strong CP problems. In this article we review how these and other results were derived, from the key theoretical ideas to the final phenomenological predictions.

30 pages, 1 figure. Invited Review for International Journal of Modern Physics A

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• Non-Universalities in Pure Gravity Mediation
• A Closer Look at Gaugino Masses in Pure Gravity Mediation Model/Minimal Split SUSY Model
• The Landscape of M-theory Compactifications on Seven-Manifolds with $G_2$ Holonomy
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• Universality in Pure Gravity Mediation with Vector Multiplets
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• Prospects for observing charginos and neutralinos at a 100 TeV proton-proton collider
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• SO(10) Grand Unification in M theory on a G2 manifold
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• Review and Update of the Compactified M/string Theory Prediction of the Higgs Boson Mass and Properties
• Well-Mixed Dark Matter and the Higgs
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