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The Cosmological Constant, Dark Matter and the ElectroWeak Scale meet in the Swampland

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arxiv 2312.08456 v3 pith:EONNZTH5 submitted 2023-12-13 hep-th hep-ph

classification hep-thhep-ph
keywords electroweakconstantcosmologicaldarkdimensionscalescalesemergent
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abstract

The Swampland program, which looks for low energy theories consistent with quantum gravity, has led to the introduction of a dark dimension stemming from the cosmological constant. We show that the same argument leads to the emergence of the electroweak scale, once the dark dimension is realised in a warped background. A second warped extra dimension at the TeV scale is, therefore, postulated, where the long-standing problem of the hierarchy between the electroweak and the Planck scales can be addressed. Furthermore, standard model contributions to the cosmological constant are tamed, together with the gravitational ones. In the emergent holistic picture of gravity and gauge interactions, both Planck and the electroweak scales are emergent from a theory with two fundamental scales: $10^{-2}$ eV and $10^{10}$ GeV, which are of geometric origin and, following the Distance Conjecture, natural. Hence, a bridge is established between the two standard models of particle physics and cosmology.

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Cited by 1 Pith paper

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  1. QCD Axion Dark Matter in the Dark Dimension

    hep-th 2024-12 conditional novelty 4.0 of 10

    A QCD axion with decay constant around 1e9 to 1e10 GeV, as predicted in the dark dimension scenario, can supply all dark matter if an ALP of mass about 1e-5 eV and decay constant about 1e11 GeV resonantly converts into it.

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