More about F-term uplifting
Hiroyuki Abe, Tetsutaro Higaki, Tatsuo Kobayashi

TL;DR
This paper explores moduli stabilization and de Sitter vacua in generalized F-term uplifting scenarios, revealing a larger hierarchy between modulus and gravitino masses and implications for supersymmetry breaking patterns.
Contribution
It introduces models with direct X-T coupling in F-term uplifting, analyzing their qualitative features and phenomenological implications, especially the hierarchy and suppression of F-terms.
Findings
Larger hierarchy between modulus mass and gravitino mass, with m_T/m_{3/2} = O(a^2).
Suppressed modulus F-term, scaling as O(m_{3/2}/a) due to X-T mixing.
Gaugino masses follow a mirage-mediation pattern of O(m_{3/2}/a).
Abstract
We study moduli stabilization and a realization of de Sitter vacua in generalized F-term uplifting scenarios of the KKLT-type anti-de Sitter vacuum, where the uplifting sector X directly couples to the light K\"ahler modulus T in the superpotential through, e.g., stringy instanton effects. F-term uplifting can be achieved by a spontaneous supersymmetry breaking sector, e.g., the Polonyi model, the O'Raifeartaigh model and the Intriligator-Seiberg-Shih model. Several models with the X-T mixing are examined and qualitative features in most models {\it even with such mixing} are almost the same as those in the KKLT scenario. One of the quantitative changes, which are relevant to the phenomenology, is a larger hierarchy between the modulus mass m_T and the gravitino mass , i.e., , where . In spite of such a large mass, the modulus F-term…
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