Standard model vacua for two-dimensional compactifications
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In order to have a solution, we need 4.5 meV ≲ mν,lightest for NH and 1.1 meV ≲ mν,lightest for IH.
“In order to have a solution, we need to have 4.5 meV m ν,lightest for NH and 1.1 meV m ν,lightest for IH, which is consistent with the result of ref. [3].”
From Weak gravity conjecture, multiple point principle and the standard model landscape (2017) · cites this paper as [3]
For Dirac neutrinos, the source reports no two-dimensional vacua below approximately 4.42 meV for a normal hierarchy or 1.12 meV for an inverted hierarchy (A. Dirac neutrinos, p. 3), consistent with the quoted rounded thresholds. The claim does not specify Dirac neutrinos; the source says Majorana-neutrino vacua exist for any lightest-neutrino mass (B. Majorana neutrinos, p. 4). (LLM, conf=0.88)
Experimental — accuracy not yet measuredThe massive periodic expression is consistent with eq. (16) in ref. [3].
“We confirmed that this is consistent with eq. ( 16) in ref. [3].”
From Weak gravity conjecture, multiple point principle and the standard model landscape (2017) · cites this paper as [3]
The discussion in ref. [3] is applicable only to 2+ dimensions.
“The point is that the discussion in ref. [3] is applicable only to 2 + dimensions.”
From Weak gravity conjecture, multiple point principle and the standard model landscape (2017) · cites this paper as [3]
Unlike ref. [3], dS2 and M2 vacua are possible in T2 compactification.
“Note that, unlike the discussion in ref. [3], we conclude that dS 2 and M 2 are possible.”
From Weak gravity conjecture, multiple point principle and the standard model landscape (2017) · cites this paper as [3]
The result in the massless and periodic case is consistent with eq. (17) in ref. [3].
“our result in the massless and periodic case is consistent with eq. ( 17) in ref. [3].”
From Weak gravity conjecture, multiple point principle and the standard model landscape (2017) · cites this paper as [3]
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Research works printed but not linked: 8
- [10]W. Buchmuller, R. Catena and K. Schmidt-Hoberg, Enhanced symmetries of orbifolds from moduli stabilization , Nucl. Phys. B 821 , 1 (2009) [arXiv:0902.4512 [hep-th]]. · arXiv
- [11]B. R. Greene and J. Levin, Dark energy and stabilization of extra dimensions , JHEP 0711 , 096 (2007) [arXiv:0707.1062 [hepth]]. · arXiv
- [12]P. Burikham, A. Chatrabhuti, P. Patcharamaneepakorn and K. Pimsamarn, Dark energy and moduli stabilization of extra dimensions in M 1+3 × T 2 spacetime, JHEP 0807 , 013 (2008) [arXiv:0802.3564 [hep-th]]. · arXiv
- [13]E. Pont´ on and E. Poppitz, Casimir energy and radius stabilization in five and six dimensional orbifolds , JHEP 0106 , 019 (2001) [arXiv:hep-ph/0105021]. · arXiv
- [14]A. Chatrabhuti, P. Patcharamaneepakorn and P. Wongjun, Æther field, Casimir energy and stabilization of the extra dimension , JHEP 0908 , 019 (2009) [arXiv:0905.0328 [hep-th]]. · arXiv
- [16]K. Nakamura et al. [Particle Data Group], Review of particle physics , J. Phys. G 37 , 075021 (2010).
- [19]E. Elizalde, Multidimensional extension of the generalized Chowla-Selberg formula , Commun. Math. Phys. 198 , 83 (1998) [arXiv:hep-th/9707257]. · arXiv
- [20]E. T. Wittaker and G. N. Watson, A course of modern analysis , Cambridge University Press, Cambridge U.K. (1965).
Cited by
Sorted by citations
Weak gravity conjecture, multiple point principle and the standard model landscape
Hamada, Y., & Shiu, G. (2017) · Journal of High Energy Physics · doi:10.1007/jhep11(2017)043 · Cited by 63 · see citing works
- Authors
- Arnold, J. M., Fornal, B., & Wise, M. B.
- Affiliations
- California Institute of Technology (US)
- Corresponding author
- Fornal, Bartosz
- Venue
- Journal of High Energy Physics
- Published
- 2010-12
- Volume
- 2010
- Issue
- 12
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W1968987087
- Cited by
- 18
- References
- 0
- Citations by year
- 2025: 2 · 2024: 2 · 2023: 1 · 2021: 2 · 2020: 1 · 2018: 2 · 2017: 3 · 2015: 1 · 2012: 2
- FWCI
- 0.65
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Journal of High Energy Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (FG02-92ER40701)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Mathematical Theories and Applications
- Keywords
- toroidal compactification, neutrino mass, quantum effects, effective potential, magnetic flux, higher genus surfaces, string compactification
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