paper

log(M_Pl/m_3/2)

arXiv:hep-th/0509158 · doi:10.1063/1.2149698

Abstract

Flux compactifications of string theory seem to require the presence of a fine-tuned constant in the superpotential. We discuss a scheme where this constant is replaced by a dynamical quantity which we argue to be a `continuous Chern--Simons term'. In such a scheme, the gaugino condensate generates the hierarchically small scale of supersymmetry breakdown rather than adjusting its size to a constant. A crucial ingredient is the appearance of the hierarchically small quantity exp(-<X>) which corresponds to the scale of gaugino condensation. Under rather general circumstances, this leads to a scenario of moduli stabilization, which is endowed with a hierarchy between the mass of the lightest modulus, the gravitino mass and the scale of the soft terms, m_modulus ~ <X> m_3/2 ~ <X>^2 m_soft. The `little hierarchy' <X> is given by the logarithm of the ratio of the Planck scale and the gravitino mass, <X> ~ log(M_Pl/m_3/2) ~ 4pi^2. This exhibits a new mediation scheme of supersymmetry breakdown, called mirage mediation. We highlight the special properties of the scheme, and their consequences for phenomenology and cosmology.

Based on talks given at PLANCK05, Trieste, Italy and PASCOS05, Gyeongju, Korea

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