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pmid: 33500607
pmc: PMC7820089
Abstract String theory has no parameter except the string scale MS, so the Planck scale MPl, the supersymmetry-breaking scale "Image missing", the electroweak scale mEW as well as the vacuum energy density (cosmological constant) Λ are to be determined dynamically at any local minimum solution in the string theory landscape. Here we consider a model that links the supersymmetric electroweak phenomenology (bottom up) to the string theory motivated flux compactification approach (top down). In this model, supersymmetry is broken by a combination of the racetrack Kähler uplift mechanism, which naturally allows an exponentially small positive Λ in a local minimum, and the anti-D3-brane in the KKLT scenario. In the absence of the Higgs doublets from the supersymmetric standard model, one has either a small Λ or a big enough "Image missing", but not both. The introduction of the Higgs fields (with their soft terms) allows a small Λ and a big enough "Image missing" simultaneously. Since an exponentially small Λ is statistically preferred (as the properly normalized probability distribution P(Λ) diverges at Λ = 0+), identifying the observed Λobs to the median value Λ50% yields mEW∼ 100 GeV. We also find that the warped anti-D3-brane tension has a SUSY-breaking scale "Image missing" ∼ 100 mEW while the SUSY-breaking scale that directly correlates with the Higgs fields in the visible sector is "Image missing" ≃ mEW.
Supersymmetry Breaking, High Energy Physics - Theory, Supersymmetric Standard Model, Superstring Vacua, FOS: Physical sciences, QC770-798, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Flux compactifications, Nuclear and particle physics. Atomic energy. Radioactivity, Regular Article - Theoretical Physics
Supersymmetry Breaking, High Energy Physics - Theory, Supersymmetric Standard Model, Superstring Vacua, FOS: Physical sciences, QC770-798, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Flux compactifications, Nuclear and particle physics. Atomic energy. Radioactivity, Regular Article - Theoretical Physics
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