Moduli stabilisation and the statistics of SUSY breaking in the landscape

Autor: Michele Cicoli, Kuver Sinha, Igor Broeckel, Anshuman Maharana, Kajal Singh
Přispěvatelé: Broeckel I., Cicoli M., Maharana A., Singh K., Sinha K.
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2020, Iss 10, Pp 1-35 (2020)
Journal of High Energy Physics
ISSN: 1029-8479
DOI: 10.1007/JHEP10(2020)015
Popis: 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 K\"ahler moduli. In this paper we point out that the inclusion of the K\"ahler 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 K\"ahler moduli. After taking K\"ahler 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.
Comment: 22 pages + appendices, 4 figures
Databáze: OpenAIRE