论文标题

模量稳定和Susy在景观中破裂的统计数据

Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape

论文作者

Broeckel, Igor, Cicoli, Michele, Maharana, Anshuman, Singh, Kajal, Sinha, Kuver

论文摘要

过去已经对弦乐景观中超对称性断裂量表的统计数据进行了广泛的研究,这是由于F-TERM的均匀分布引起的幂律行为,或者是由动态超对称断裂动机动机的对数分布。这些研究主要集中在IIB型通量压缩上,但并未系统地纳入Kähler模量。在本文中,我们指出,KählerOduli的包含对于了解景观中超对称性断裂量表的分布至关重要,因为通常,当Dilaton的F-Terms和复杂结构模量的F-TERMS比Kähler模块化的F-Terms大时,就会获得不稳定的真空。考虑到Kähler模量稳定后,我们发现Gravitino质量和软项的分布仅在KKLT中是幂律,因此有利于高尺度超对称性。另一方面,LVS真空具有软项的对数分布,因此偏爱较低的超对称性断裂。 IIB通量真空吸尘器的景观是否预测了超对称性量表的对数或幂律分布,取决于LVS和KKLT真空的相对优势。

The statistics of the supersymmetry breaking scale in the string landscape has been extensively studied in the past finding either a power-law behaviour induced by uniform distributions of F-terms or a logarithmic distribution motivated by dynamical supersymmetry breaking. These studies focused mainly on type IIB flux compactifications but did not systematically incorporate the Kähler moduli. In this paper we point out that the inclusion of the Kähler moduli is crucial to understand the distribution of the supersymmetry breaking scale in the landscape since in general one obtains unstable vacua when the F-terms of the dilaton and the complex structure moduli are larger than the F-terms of the Kähler moduli. After taking Kähler moduli stabilisation into account, we find that the distribution of the gravitino mass and the soft terms is power-law only in KKLT and perturbatively stabilised vacua which therefore favour high scale supersymmetry. On the other hand, LVS vacua feature a logarithmic distribution of soft terms and thus a preference for lower scales of supersymmetry breaking. Whether the landscape of type IIB flux vacua predicts a logarithmic or power-law distribution of the supersymmetry breaking scale thus depends on the relative preponderance of LVS and KKLT vacua.

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