Moduli stabilization with Fayet-Iliopoulos uplift
E. Dudas, Y. Mambrini, S. Pokorski, A. Romagnoni
TL;DR
The paper develops a KKLT-inspired moduli stabilization framework where a Fayet-Iliopoulos uplift from an anomalous U(1)_X provides a non-decoupled source of SUSY breaking. The model uses a gauge-invariant nonperturbative superpotential $W = W_0 + m\,\phi_+\phi_- + a\,\phi_-^q e^{-bT}$ together with a D-term $V_D$ that fixes the FI parameter $\xi^2$ and enforces gauge invariance, yielding a sizable modulus $F$-term. Consequently gaugino masses scale as $M_i \propto F_T/(2\,Re[T])$, and the setup realizes a mixed gravity-gauge mediation with non-standard gauge contributions that can compress the low-energy spectrum. A concrete string-inspired realization with internal magnetic fields and instanton effects demonstrates a viable parameter region with $m_{3/2} \sim 3\,$TeV and zero cosmological constant, leading to distinctive phenomenology such as heavier sleptons relative to squarks and testable LHC signatures. The analysis emphasizes that the FI uplift naturally enhances modulus mediation and alters the soft-term pattern, providing a concrete avenue for phenomenology distinct from traditional KKLT or D-term uplift scenarios.
Abstract
In the recent years, phenomenological models of moduli stabilization were proposed, where the dynamics of the stabilization is essentially supersymmetric, whereas an O'Rafearthaigh supersymmetry breaking sector is responsible for the "uplift" of the cosmological constant to zero. We investigate the case where the uplift is provided by a Fayet-Iliopoulos sector. We find that in this case the modulus contribution to supersymmetry breaking is larger than in the previous models. A first consequence of this class of constructions is for gauginos, which are heavier compared to previous models. In some of our explicit examples, due to a non-standard gauge-mediation type negative contribution to scalars masses, the whole superpartner spectrum can be efficiently compressed at low-energy. This provides an original phenomenology testable at the LHC, in particular sleptons are generically heavier than the squarks.