More about F-term uplifting

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 $m_{3/2}$, i.e., $m_T/m_{3/2} = {\cal O}(a^2)$, where $a \sim 4 \pi^2$. In spite of such a large mass, the modulus F-term is suppressed not like $F^T = {\cal O}(m_{3/2}/a^2)$, but like $F^T = {\cal O}(m_{3/2}/a)$ 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 ${\cal O}(m_{3/2}/a)$, while the scalar masses would be generically of ${\cal O}(m_{3/2})$.