On non-perturbative corrections to the Kahler potential
T. Barreiro, B. de Carlos, E. J. Copeland
TL;DR
The work investigates string-motivated non-perturbative corrections to the Kähler potential as a mechanism for dilaton stabilization in dilaton-dominated SUSY breaking. It analyzes both chiral and linear multiplet gaugino-condensation formalisms, focusing on one-condensate scenarios with parameters $(d,p,b)$, and shows that achieving a realistic $Re S$ around 2 with a TeV-scale gravitino mass and zero cosmological constant is generally possible only with extreme parameter choices. The study demonstrates numerical equivalence between the chiral and linear formulations and introduces a kink-type Kähler correction that can yield zero cosmological constant, while revealing that the dilaton mass can be greatly enhanced or repressed relative to $m_{3/2}$, enabling substantial hierarchies. Overall, the results alleviate the moduli problem in some cases and motivate exploring more elaborate non-perturbative Kähler corrections to achieve a viable, string-inspired SUSY-breaking scenario.
Abstract
We present the results of a detailed investigation into the consequences of adding specific string motivated non-perturbative corrections to the usual tree level Kahler potential in dilaton dominated scenarios. The success of the model is judged through our ability to obtain a realistic VEV for the dilaton < Re S > ~ 2, corresponding to the true minima of the scalar potential and being associated with a reasonable value for the SUSY breaking scale via the gravitino mass. The status of the so-called moduli problem is also reviewed in each of the ansatze studied. Those include previous proposals made in the context of both the chiral and the linear multiplet formalisms to describe gaugino condensation, and a new ansatz which shows explicitly the equivalence between the two.