Does the Cosmological Constant really indicate the existence of a Dark Dimension?
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914950297944064 |
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| author | Branchina, Carlo Branchina, Vincenzo Contino, Filippo Pernace, Arcangelo |
| author_facet | Branchina, Carlo Branchina, Vincenzo Contino, Filippo Pernace, Arcangelo |
| contents | According to the "dark dimension" (DD) scenario, we might live in a universe with a single compact extra dimension, whose mesoscopic size is dictated by the measured value of the cosmological constant. This scenario is based on swampland conjectures, that lead to the relation $ρ_{\rm swamp}\sim m_{_{\rm KK}}^4$ between the vacuum energy $ρ_{\rm swamp}$ and the size of the extra dimension $m_{_{\rm KK}}^{-1}$ ($m_{_{\rm KK}}$ is the mass scale of a Kaluza-Klein tower), and on the corresponding result $ρ_{_{\rm EFT}}$ from the EFT limit. We show that $ρ_{_{\rm EFT}}$ contains previously missed UV-sensitive terms, whose presence invalidates the widely spread belief (based on existing literature) that the calculation gives automatically the finite result $ρ_{_{\rm EFT}}\sim m_{_{\rm KK}}^4$ (with no need for fine-tuning). This renders the matching between $ρ_{\rm swamp}$ and $ρ_{_{\rm EFT}}$ a non-trivial issue. We then comment on the necessity to find a mechanism that implements the suppression of the aforementioned UV-sensitive terms. This should finally allow to frame the DD scenario in a self-consistent framework, also in view of its several phenomenological applications based on EFT calculations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_16548 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Does the Cosmological Constant really indicate the existence of a Dark Dimension? Branchina, Carlo Branchina, Vincenzo Contino, Filippo Pernace, Arcangelo High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology According to the "dark dimension" (DD) scenario, we might live in a universe with a single compact extra dimension, whose mesoscopic size is dictated by the measured value of the cosmological constant. This scenario is based on swampland conjectures, that lead to the relation $ρ_{\rm swamp}\sim m_{_{\rm KK}}^4$ between the vacuum energy $ρ_{\rm swamp}$ and the size of the extra dimension $m_{_{\rm KK}}^{-1}$ ($m_{_{\rm KK}}$ is the mass scale of a Kaluza-Klein tower), and on the corresponding result $ρ_{_{\rm EFT}}$ from the EFT limit. We show that $ρ_{_{\rm EFT}}$ contains previously missed UV-sensitive terms, whose presence invalidates the widely spread belief (based on existing literature) that the calculation gives automatically the finite result $ρ_{_{\rm EFT}}\sim m_{_{\rm KK}}^4$ (with no need for fine-tuning). This renders the matching between $ρ_{\rm swamp}$ and $ρ_{_{\rm EFT}}$ a non-trivial issue. We then comment on the necessity to find a mechanism that implements the suppression of the aforementioned UV-sensitive terms. This should finally allow to frame the DD scenario in a self-consistent framework, also in view of its several phenomenological applications based on EFT calculations. |
| title | Does the Cosmological Constant really indicate the existence of a Dark Dimension? |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.16548 |