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Linking the Supersymmetric Standard Model to the Cosmological Constant

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arxiv 2006.16620 v3 pith:ASM2QIVF submitted 2020-06-30 hep-th hep-ph

classification hep-thhep-ph
keywords lambdascalemodelsmallstringsusy-breakinghiggssupersymmetric
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

String theory has no parameter except the string scale $M_S$, so the Planck scale $M_\text{Pl}$, the supersymmetry-breaking scale, the EW scale $m_\text{EW}$ as well as the vacuum energy density (cosmological constant) $\Lambda$ 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 K\"ahler uplift mechanism, which naturally allows an exponentially small positive $\Lambda$ in a local minimum, and the anti-D3-brane in the KKLT scenario. In the absence of the Higgs doublets in the supersymmetric standard model, one has either a small $\Lambda$ or a big enough SUSY-breaking scale, but not both. The introduction of the Higgs fields (with their soft terms) allows a small $\Lambda$ and a big enough SUSY-breaking scale simultaneously. Since an exponentially small $\Lambda$ is statistically preferred (as the properly normalized probability distribution $P(\Lambda)$ diverges at $\Lambda=0^{+}$), identifying the observed $\Lambda_{\rm obs}$ to the median value $\Lambda_{50\%}$ yields $m_{\rm EW} \sim 100$ GeV. We also find that the warped anti-D3-brane tension has a SUSY-breaking scale of $100m_{\rm EW}$ in the landscape while the SUSY-breaking scale that directly correlates with the Higgs fields in the visible sector has a value of $m_{\rm EW}$.

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    hep-ph 2025-06 conditional novelty 4.0 of 10

    If the axion dark energy model with a negative cosmological constant is the true explanation of DES/DESI data, the universe will end in a big crunch at a total age of about 33 billion years.

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