Discrete R Symmetries and Low Energy Supersymmetry

Details Discrete R Symmetries and Low Energy Supersymmetry Discrete R Symmetries and Low Energy Supersymmetry

2009-09-09

arxiv.org/abs/0909.1615v3

Phys. Rev. D 82, 055014 (2010)

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, latex; references to earlier work added; typos fixed, minor corrections and revisions, journal version

Scientific paper

10.1103/PhysRevD.82.055014

If nature exhibits low energy supersymmetry, discrete (non-$Z_2$) R symmetries may well play an important role. In this paper, we explore such symmetries. We generalize gaugino condensation, constructing large classes of models which are classically scale invariant, and which spontaneously break discrete R symmetries (but not supersymmetry). The order parameters for the breaking include chiral singlets. These simplify construction of models with metastable dynamical supersymmetry breaking. We explain that in gauge mediation, the problem of the cosmological constant makes "retrofitting" particularly natural -- almost imperative. We describe new classes of models, with interesting scales for supersymmetry breaking, and which allow simple solutions of the $\mu$ problem. We argue that models exhibiting such R symmetries can readily solve not only the problem of dimension four operators and proton decay, but also dimension five operators. On the other hand, in theories of "gravity mediation", the breaking of R symmetry is typically of order $M_p$, R parity is required to suppress dimension four $B$ and $L$ violating operators, and dimension five operators remain problematic.

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