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arXiv · hep-th/0509158

log(M_Pl/m_3/2)

Oscar Loaiza-Brito·Johannes Martin·Hans Peter Nilles·Michael Ratz
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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(- ) 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 ~ m_3/2 ~ ^2 m_soft. The `little hierarchy' is given by the logarithm of the ratio of the Planck scale and the gravitino mass, ~ 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.

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Oscar Loaiza-Brito, Johannes Martin, Hans Peter Nilles, Michael Ratz. 2005-09-20. log(M_Pl/m_3/2). https://doi.org/10.1063/1.2149698

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