Sequestered de Sitter String Scenarios: Soft-terms

TL;DR

This work analyzes soft SUSY breaking in sequestered LVS de Sitter vacua, where the visible sector is geometrically separated from the SUSY-breaking sources. By computing F-terms and soft-terms for two dS uplifting mechanisms, it identifies two phenomenological classes: a split-SUSY-like local/Ultra-local dS1 pattern with M_{1/2} much smaller than scalars, and an MSSM-like ultra-local dS2 pattern where all soft terms are of the same order but flux-tuned. The results show that background fluxes set the numerical coefficients of soft-terms, enabling scanning through the string landscape to obtain viable phenomenology while avoiding the cosmological moduli problem. The analysis also elaborates on the μ-term and potential desequestering sources, highlighting model-dependent avenues for achieving realistic Higgs sectors within globally consistent CY compactifications.

Abstract

We analyse soft supersymmetry breaking in type IIB de Sitter string vacua after moduli stabilisation, focussing on models in which the Standard Model is sequestered from the supersymmetry breaking sources and the spectrum of soft-terms is hierarchically smaller than the gravitino mass $m_{3/2}$. Due to this feature, these models are compatible with gauge coupling unification and TeV scale supersymmetry with no cosmological moduli problem. We determine the influence on soft-terms of concrete realisations of de Sitter vacua constructed from supersymmetric effective actions. One of these scenarios provides the first study of soft-terms for consistent string models embedded in a compact Calabi-Yau manifold with all moduli stabilised. Depending on the moduli dependence of the Kaehler metric for matter fields and on the mechanism responsible to obtain a de Sitter vacuum, we find two scenarios for phenomenology: (i) a split-supersymmetry scenario where gaugino masses are suppressed with respect to scalar masses: $M_{1/2} \sim m_{3/2} ε\ll m_0 \sim m_{3/2} \sqrtε \ll m_{3/2}$ for $ε\sim m_{3/2}/M_P \ll 1$; (ii) a typical MSSM scenario where all soft-terms are of the same order: $M_{1/2} \sim m_0 \sim m_{3/2} ε\ll m_{3/2}$. Background fluxes determine the numerical coefficients of the soft-terms allowing for small variations of parameters as is necessary to confront data and to interpolate between different scenarios. We comment on different stringy origins of the mu-term and potential sources of desequestering.

Figures (2)

• Figure 1: Pictorial sketch of our CY setup for dS vacua from hidden matter fields.
• Figure 2: Pictorial view of our CY setup for dS vacua from non-perturbative effects at singularities.