log(M_Pl/m_3/2)
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.
Cite
@article{arxiv.hep-th/0509158,
title = {log(M_Pl/m_3/2)},
author = {Oscar Loaiza-Brito and Johannes Martin and Hans Peter Nilles and Michael Ratz},
journal= {arXiv preprint arXiv:hep-th/0509158},
year = {2009}
}
Comments
Based on talks given at PLANCK05, Trieste, Italy and PASCOS05, Gyeongju, Korea