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The dark dimension and the Swampland

Motivated by principles from the Swampland program, which characterize requirements for a consistent UV completion of quantum gravity, combined with observational data, we are led to a unique corner of the quantum gravity landscape. In particular, using the Distance/Duality conjecture and the smalln...

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Detalles Bibliográficos
Autores principales: Montero, Miguel, Vafa, Cumrun, Valenzuela, Irene
Lenguaje:eng
Publicado: 2022
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP02(2023)022
http://cds.cern.ch/record/2848723
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author Montero, Miguel
Vafa, Cumrun
Valenzuela, Irene
author_facet Montero, Miguel
Vafa, Cumrun
Valenzuela, Irene
author_sort Montero, Miguel
collection CERN
description Motivated by principles from the Swampland program, which characterize requirements for a consistent UV completion of quantum gravity, combined with observational data, we are led to a unique corner of the quantum gravity landscape. In particular, using the Distance/Duality conjecture and the smallness of dark energy, we predict the existence of a light tower of states and a unique extra mesoscopic dimension of length $ l\sim {\Lambda}^{-\frac{1}{4}}\sim {10}^{-6}m $, with extra massless fermions propagating on it. This automatically leads to a candidate for a tower of sterile neutrinos, and an associated active neutrino mass scale $ {m}_{\nu}\sim {\left\langle H\right\rangle}^2{\Lambda}^{-\frac{1}{12}}{M}_{\textrm{pl}}^{-\frac{2}{3}} $. Moreover, assuming the mechanism for stabilization of this dark dimension leads to similar masses for active and sterile neutrinos we are led to the prediction of a Higgs vev $ \left\langle H\right\rangle \sim {\Lambda}^{\frac{1}{6}}{M}_{\textrm{pl}}^{\frac{1}{3}} $. Another prediction of the scenario is a species scale $ \hat{M}\sim {\Lambda}^{\frac{1}{12}}{M}_{\textrm{pl}}^{\frac{2}{3}}\sim {10}^9\hbox{--} {10}^{10} $ GeV, corresponding to the higher-dimensional Planck scale. This energy scale may be related to the resolution of the instability of the Higgs effective potential present at a scale of ~10$^{11}$ GeV. We also speculate about the interplay between this energy scale and the GZK limit on ultra-high energy cosmic rays.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2022
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spelling cern-28487232023-10-04T08:55:28Zdoi:10.1007/JHEP02(2023)022http://cds.cern.ch/record/2848723engMontero, MiguelVafa, CumrunValenzuela, IreneThe dark dimension and the Swamplandhep-phParticle Physics - Phenomenologyhep-thParticle Physics - TheoryMotivated by principles from the Swampland program, which characterize requirements for a consistent UV completion of quantum gravity, combined with observational data, we are led to a unique corner of the quantum gravity landscape. In particular, using the Distance/Duality conjecture and the smallness of dark energy, we predict the existence of a light tower of states and a unique extra mesoscopic dimension of length $ l\sim {\Lambda}^{-\frac{1}{4}}\sim {10}^{-6}m $, with extra massless fermions propagating on it. This automatically leads to a candidate for a tower of sterile neutrinos, and an associated active neutrino mass scale $ {m}_{\nu}\sim {\left\langle H\right\rangle}^2{\Lambda}^{-\frac{1}{12}}{M}_{\textrm{pl}}^{-\frac{2}{3}} $. Moreover, assuming the mechanism for stabilization of this dark dimension leads to similar masses for active and sterile neutrinos we are led to the prediction of a Higgs vev $ \left\langle H\right\rangle \sim {\Lambda}^{\frac{1}{6}}{M}_{\textrm{pl}}^{\frac{1}{3}} $. Another prediction of the scenario is a species scale $ \hat{M}\sim {\Lambda}^{\frac{1}{12}}{M}_{\textrm{pl}}^{\frac{2}{3}}\sim {10}^9\hbox{--} {10}^{10} $ GeV, corresponding to the higher-dimensional Planck scale. This energy scale may be related to the resolution of the instability of the Higgs effective potential present at a scale of ~10$^{11}$ GeV. We also speculate about the interplay between this energy scale and the GZK limit on ultra-high energy cosmic rays.Motivated by principles from the Swampland program, which characterize requirements for a consistent UV completion of quantum gravity, combined with observational data, we are led to a unique corner of the quantum gravity landscape. In particular, using the Distance/Duality conjecture and the smallness of dark energy, we predict the existence of a light tower of states and a unique extra mesoscopic dimension of length $l\sim \Lambda^{-\frac{1}{4}}\sim 10^{-6}\, m$, with extra massless fermions propagating on it. This automatically leads to a candidate for a tower of sterile neutrinos, and an associated active neutrino mass scale $m_{\nu}\sim \langle H\rangle^2\, \Lambda^{-\frac{1}{12}}M_{pl}^{-\frac{2}{3}}$. Moreover, assuming the mechanism for stabilization of this dark dimension leads to similar masses for active and sterile neutrinos we are led to the prediction of a Higgs vev $\langle H\rangle \sim \Lambda^{\frac{1}{6}}M_{pl}^{\frac{1}{3}}$. Another prediction of the scenario is a species scale ${\hat M} \sim \Lambda^ {\frac{1}{12}}M_{pl}^{\frac{2}{3}}\sim 10^{9}-10^{10} GeV$, corresponding to the higher-dimensional Planck scale. This energy scale may be related to the resolution of the instability of the Higgs effective potential present at a scale of $\sim 10^{11}\, GeV$. We also speculate about the interplay between this energy scale and the GZK limit on ultra-high energy cosmic rays.arXiv:2205.12293oai:cds.cern.ch:28487232022-05-24
spellingShingle hep-ph
Particle Physics - Phenomenology
hep-th
Particle Physics - Theory
Montero, Miguel
Vafa, Cumrun
Valenzuela, Irene
The dark dimension and the Swampland
title The dark dimension and the Swampland
title_full The dark dimension and the Swampland
title_fullStr The dark dimension and the Swampland
title_full_unstemmed The dark dimension and the Swampland
title_short The dark dimension and the Swampland
title_sort dark dimension and the swampland
topic hep-ph
Particle Physics - Phenomenology
hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP02(2023)022
http://cds.cern.ch/record/2848723
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