More about F-term uplifting

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 Kähler 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 $m_{3/2}$, i.e., $m_T/m_{3/2}=\mathcal{O}(a^2)$, where $a\sim 4{\pi }^2$. In spite of such a large mass, the modulus F-term is suppressed not like $F^T=\mathcal{O}(m_{3/2}/a^2)$, but like $F^T=\mathcal{O}(m_{3/2}/a)$ for $\ln (M_{Pl}/m_{3/2})\sim a$, because of an enhancement factor coming from the X-T mixing. Then we typically find a mirage-mediation pattern of gaugino masses of $\mathcal{O}(m_{3/2}/a)$, while the scalar masses would be generically of $\mathcal{O}(m_{3/2})$.

22 pages; a sign error in the evaluation of F^X and the related part corrected, references added

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• Sequestered uplifting and the pattern of soft supersymmetry breaking terms