Theory and phenomenology of μ in M theory

Bobby Samir Acharya*, Gordon Kane, Eric Kuflik, Ran Lu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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 m3/2 ̃ 20-30TeV. We show that μ is suppressed relative to the gravitino mass, by higher dimensional operators, μ tild; 0:1m3/2 - 2-3TeV. 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.

Original languageAmerican English
Article number33
JournalJournal of High Energy Physics
Issue number5
StatePublished - 2011
Externally publishedYes


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