Theory and Phenomenology of mu in M theory

Abstract

We consider a solution to the mu-problem within M theory on a G2-manifold. Our study is based upon the discrete symmetry proposed by Witten that forbids the mu-term and solves the doublet-triplet splitting problem. We point out that the symmetry must be broken by moduli stabilization, describing in detail how this can occur. The mu-term is generated via Kahler interactions after strong dynamics in the hidden sector generate a potential which stabilizes all moduli and breaks supersymmetry with m_{3/2} ~ 20 - 30 TeV. We show that mu is suppressed relative to the gravitino mass, by higher dimensional operators, mu ~ 0.1 m_{3/2} ~ 2-3 TeV. This necessarily gives a Higgsino component to the (mostly Wino) LSP, and a small but non-negligible LSP-nucleon scattering cross-section. The maximum, spin-independent cross-sections are not within reach of the current XENON100 experiment, but are within reach of upcoming runs and upgrades.

34 pages, 3 figures

References in corpus (13)

• Observation of an anomalous positron abundance in the cosmic radiation
• First Dark Matter Results from the XENON100 Experiment
• Non-thermal Dark Matter and the Moduli Problem in String Frameworks
• PAMELA Satellite Data as a Signal of Non-Thermal Wino LSP Dark Matter
• An M theory Solution to the Hierarchy Problem
• Large hierarchies from approximate R symmetries
• Family symmetries in F-theory GUTs
• Instanton Induced Open String Superpotentials and Branes at Singularities
• R-violating Decay of Wino Dark Matter and electron/positron Excesses in the PAMELA/Fermi Experiments
• Dark Matter as a Guide Toward a Light Gluino at the LHC
• Stringy Instantons and Yukawa Couplings in MSSM-like Orientifold Models
• Comments on Flipped SU(5) (and F-theory)
• Stringy surprises

Cited by in corpus (12)

• Fermi LAT Search for Dark Matter in Gamma-ray Lines and the Inclusive Photon Spectrum
• Naturalness, Supersymmetry and Implications for LHC and Dark Matter
• Midi-review: Status of weak scale supersymmetry after LHC Run 2 and ton-scale noble liquid WIMP searches
• Revisiting the SUSY mu problem and its solutions in the LHC era
• Dynamical R-Parity Violation
• A new (string motivated) approach to the little hierarchy problem
• Higgs Mass Prediction for Realistic String/M Theory Vacua
• R-Parity Conservation from a Top Down Perspective
• Baryogenesis from a Modulus Dominated Universe
• Neutrino mass from M Theory SO(10)
• SO(10) Grand Unification in M theory on a G2 manifold
• $SO(10)$ Grand Unification from $M$ theory on a $G_2$ manifold