More about F-term uplifting

Hiroyuki Abe; Tetsutaro Higaki; Tatsuo Kobayashi

doi:10.1103/PhysRevD.76.105003

paper

More about F-term uplifting

arXiv:0707.2671 · doi:10.1103/PhysRevD.76.105003

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

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

More about F-term uplifting

Abstract

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