Explaining the Electroweak Scale and Stabilizing Moduli in M Theory

Abstract

In a recent paper \cite{Acharya:2006ia} it was shown that in $M$ theory vacua without fluxes, all moduli are stabilized by the effective potential and a stable hierarchy is generated, consistent with standard gauge unification. This paper explains the results of \cite{Acharya:2006ia} in more detail and generalizes them, finding an essentially unique de Sitter (dS) vacuum under reasonable conditions. One of the main phenomenological consequences is a prediction which emerges from this entire class of vacua: namely gaugino masses are significantly suppressed relative to the gravitino mass. We also present evidence that, for those vacua in which the vacuum energy is small, the gravitino mass, which sets all the superpartner masses, is automatically in the TeV - 100 TeV range.

73 pages, 39 figures, Minor typos corrected, Figures and References added

References in corpus (39)

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• An Alternative to Compactification
• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• Flux Compactification
• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• Soft Supersymmetry Breaking in KKLT Flux Compactification
• Holography and Compactification
• Naturalness Versus Supersymmetric Non-renormalization Theorems
• Type IIA Moduli Stabilization
• Anomaly mediation in supergravity theories
• Landscape, the Scale of SUSY Breaking, and Inflation
• An SU(5) Heterotic Standard Model
• Phenomenology of Mixed Modulus-Anomaly Mediation in Fluxed String Compactifications and Brane Models
• Scattering of Gauge, Matter, and Moduli Fields from Intersecting Branes
• A Solution to the Supersymmetric Fine-Tuning Problem within the MSSM
• De Sitter Vacua from Matter Superpotentials
• Conformal Field Theory Couplings for Intersecting D-branes on Orientifolds
• The Exact MSSM Spectrum from String Theory
• INSTANTON CALCULATIONS VERSUS EXACT RESULTS IN 4 DIMENSIONAL SUSY GAUGE THEORIES.
• Little SUSY hierarchy in mixed modulus-anomaly mediation
• M theory and Singularities of Exceptional Holonomy Manifolds
• Heterotic Moduli Stabilization with Fractional Chern-Simons Invariants
• Brane world effective actions for D-branes with fluxes
• An M theory Solution to the Hierarchy Problem
• A Note on Warped String Compactification
• Statistics of M theory Vacua
• Unification Scale, Proton Decay, And Manifolds Of G_2 Holonomy
• Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model
• Gaugino and Scalar Masses in the Landscape
• Gaugino Masses in Modular Invariant Supergravity
• Prospects for Mirage Mediation
• Supersymmetry and Stability of Flux Vacua
• Stabilizing Moduli with a Positive Cosmological Constant in Heterotic M-Theory
• Kahler corrections and softly broken family symmetries
• Collider and Dark Matter Searches in Models with Mixed Modulus-Anomaly Mediated SUSY Breaking
• Kahler Potential for M-theory on a G_2 Manifold
• LHC String Phenomenology
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