Theory and phenomenology of μ in M theory

  • Bobby Samir Acharya
  • Gordon Kane
  • Eric Kuflik
  • Ran Lu


We consider a solution to the μ-problem within M theory on a G 2-manifold. Our study is based upon the discrete symmetry proposed by Witten that forbids the μ-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 μ-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 μ is suppressed relative to the gravitino mass, by higher dimensional operators, μ ∼ 0.1m 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.


Strings and branes phenomenology 


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Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  • Bobby Samir Acharya
    • 1
    • 2
  • Gordon Kane
    • 1
  • Eric Kuflik
    • 1
  • Ran Lu
    • 1
  1. 1.Michigan Center for Theoretical PhysicsUniversity of MichiganAnn ArborU.S.A.
  2. 2.Abdus Salam International Centre for Theoretical PhysicsTriesteItaly

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