Built on

E. Palti, The Swampland: Introduction and Review , Fortsch. Phys. 67
Original
1903
Earlier work this paper cites.
R. Alves Batista et al., Open Questions in Cosmic-Ray Research at Ultrahigh Energies , Front. Astron. Space Sci. 6
Original
1903
Earlier work this paper cites.
S.-J. Lee, W. Lerche and T. Weigand, Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields , 1904.06344
Original
1904
Earlier work this paper cites.
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland , Phys. Lett. B 797
Original
1906
Earlier work this paper cites.
A. Bedroya and C. Vafa, Trans-Planckian Censorship and the Swampland , JHEP 09
Original
1909
Earlier work this paper cites.
S.-J. Lee, W. Lerche and T. Weigand, Emergent Strings from Infinite Distance Limits , 1910.01135
Original
1910
Earlier work this paper cites.
J. Sakstein and M. Trodden, Early Dark Energy from Massive Neutrinos as a Natural Resolution of the Hubble Tension , Phys. Rev. Lett. 124
Original
1911
Earlier work this paper cites.
K. Greisen, End to the cosmic ray spectrum? , Phys. Rev. Lett. 16
1966
Earlier work this paper cites.
G. T. Zatsepin and V. A. Kuzmin, Upper limit of the spectrum of cosmic rays , JETP Lett. 4
1966
Earlier work this paper cites.
L. Alvarez-Gaume, P. H. Ginsparg, G. W. Moore and C. Vafa, An O(16) x O(16) Heterotic String , Phys. Lett. B 171
1986
Earlier work this paper cites.
L. J. Dixon and J. A. Harvey, String Theories in Ten-Dimensions Without Space-Time Supersymmetry , Nucl. Phys. B 274
1986
Earlier work this paper cites.
A. Higuchi, Forbidden Mass Range for Spin-2 Field Theory in De Sitter Space-time , Nucl. Phys. B 282
1987
Earlier work this paper cites.
I. Antoniadis, A Possible new dimension at a few TeV , Phys. Lett. B 246
1990
Earlier work this paper cites.
K. Becker and M. Becker, M theory on eight manifolds , Nucl. Phys. B477
1996
Earlier work this paper cites.
N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, The Hierarchy problem and new dimensions at a millimeter , Phys. Lett. B 429
1998
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1998
J. Polchinski, String Theory: Volume 2, Superstring Theory and Beyond · 1998
Earlier work this paper cites.
K. R. Dienes, E. Dudas and T. Gherghetta, Neutrino oscillations without neutrino masses or heavy mass scales: A Higher dimensional seesaw mechanism , Nucl. Phys. B 557
1999
Earlier work this paper cites.
L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension , Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
L. Randall and R. Sundrum, An Alternative to compactification , Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
N. Arkani-Hamed, S. Dimopoulos, G. R. Dvali and J. March-Russell, Neutrino masses from large extra dimensions , Phys. Rev. D 65
2001
Earlier work this paper cites.

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Then

H. Ooguri and C. Vafa, Non-supersymmetric AdS and the Swampland , Adv. Theor. Math. Phys. 21
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Later among the works it cites.
H. Ooguri and L. Spodyneiko, New Kaluza-Klein instantons and the decay of AdS vacua , Phys. Rev. D96
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M. Carena, Y.-Y. Li, C. S. Machado, P. A. N. Machado and C. E. M. Wagner, Neutrinos in Large Extra Dimensions and Short-Baseline ν e \nu_{e} Appearance , Phys. Rev. D 96
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2017
Later among the works it cites.
L. E. Ibáñez, V. Martin-Lozano and I. Valenzuela, Constraining Neutrino Masses, the Cosmological Constant and BSM Physics from the Weak Gravity Conjecture , JHEP 11
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2022

The Dark Dimension and the Swampland

Montero, Miguel, Vafa, Cumrun, Valenzuela, Irene

Understand

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 $\langle H\rangle \sim \Lambda^{\frac{1}{6}}M_{pl}^{\frac{1}{3}}$.

Built on

E. Palti, The Swampland: Introduction and Review , Fortsch. Phys. 67
Original
1903
Earlier work this paper cites.
R. Alves Batista et al., Open Questions in Cosmic-Ray Research at Ultrahigh Energies , Front. Astron. Space Sci. 6
Original
1903
Earlier work this paper cites.
S.-J. Lee, W. Lerche and T. Weigand, Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields , 1904.06344
Original
1904
Earlier work this paper cites.
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland , Phys. Lett. B 797
Original
1906
Earlier work this paper cites.
A. Bedroya and C. Vafa, Trans-Planckian Censorship and the Swampland , JHEP 09
Original
1909
Earlier work this paper cites.
S.-J. Lee, W. Lerche and T. Weigand, Emergent Strings from Infinite Distance Limits , 1910.01135
Original
1910
Earlier work this paper cites.
J. Sakstein and M. Trodden, Early Dark Energy from Massive Neutrinos as a Natural Resolution of the Hubble Tension , Phys. Rev. Lett. 124
Original
1911
Earlier work this paper cites.
K. Greisen, End to the cosmic ray spectrum? , Phys. Rev. Lett. 16
1966
Earlier work this paper cites.
G. T. Zatsepin and V. A. Kuzmin, Upper limit of the spectrum of cosmic rays , JETP Lett. 4
1966
Earlier work this paper cites.
L. Alvarez-Gaume, P. H. Ginsparg, G. W. Moore and C. Vafa, An O(16) x O(16) Heterotic String , Phys. Lett. B 171
1986
Earlier work this paper cites.
L. J. Dixon and J. A. Harvey, String Theories in Ten-Dimensions Without Space-Time Supersymmetry , Nucl. Phys. B 274
1986
Earlier work this paper cites.
A. Higuchi, Forbidden Mass Range for Spin-2 Field Theory in De Sitter Space-time , Nucl. Phys. B 282
1987
Earlier work this paper cites.
I. Antoniadis, A Possible new dimension at a few TeV , Phys. Lett. B 246
1990
Earlier work this paper cites.
K. Becker and M. Becker, M theory on eight manifolds , Nucl. Phys. B477
1996
Earlier work this paper cites.
N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, The Hierarchy problem and new dimensions at a millimeter , Phys. Lett. B 429
1998
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1998
J. Polchinski, String Theory: Volume 2, Superstring Theory and Beyond · 1998
Earlier work this paper cites.
K. R. Dienes, E. Dudas and T. Gherghetta, Neutrino oscillations without neutrino masses or heavy mass scales: A Higher dimensional seesaw mechanism , Nucl. Phys. B 557
1999
Earlier work this paper cites.
L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension , Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
L. Randall and R. Sundrum, An Alternative to compactification , Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
N. Arkani-Hamed, S. Dimopoulos, G. R. Dvali and J. March-Russell, Neutrino masses from large extra dimensions , Phys. Rev. D 65
2001
Earlier work this paper cites.