Weak gravity conjecture, multiple point principle and the standard model landscape
Abstract
The requirement for an ultraviolet completable theory to be wellbehaved upon compactification has been suggested as a guiding principle for distinguishing the landscape from the swampland. Motivated by the weak gravity conjecture and the multiple point principle, we investigate the vacuum structure of the standard model compactified on S ^{1} and T ^{2}. The measured value of the Higgs mass implies, in addition to the electroweak vacuum, the existence of a new vacuum where the Higgs field value is around the Planck scale. We explore two and threedimensional critical points of the moduli potential arising from compactifications of the electroweak vacuum as well as this high scale vacuum, in the presence of Majorana/Dirac neutrinos and/or axions. We point out potential sources of instability for these lower dimensional critical points in the standard model landscape. We also point out that a high scale AdS _{4} vacuum of the Standard Model, if exists, would be at odd with the conjecture that all nonsupersymmetric AdS vacua are unstable. We argue that, if we require a degeneracy between three and fourdimensional vacua as suggested by the multiple point principle, the neutrinos are predicted to be Dirac, with the mass of the lightest neutrino ≈O(1–10)more »
 Authors:

 Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics; KEK Theory Center, Ibaraki (Japan). Institute of Particle and Nuclear Studies
 Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
 Publication Date:
 Research Org.:
 Univ. of Wisconsin, Madison, WI (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1507141
 Grant/Contract Number:
 FG0295ER40896
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Lower Dimensions; Neutrino Physics; Flux compactifications
Citation Formats
Hamada, Yuta, and Shiu, Gary. Weak gravity conjecture, multiple point principle and the standard model landscape. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)043.
Hamada, Yuta, & Shiu, Gary. Weak gravity conjecture, multiple point principle and the standard model landscape. United States. doi:10.1007/jhep11(2017)043.
Hamada, Yuta, and Shiu, Gary. Thu .
"Weak gravity conjecture, multiple point principle and the standard model landscape". United States. doi:10.1007/jhep11(2017)043. https://www.osti.gov/servlets/purl/1507141.
@article{osti_1507141,
title = {Weak gravity conjecture, multiple point principle and the standard model landscape},
author = {Hamada, Yuta and Shiu, Gary},
abstractNote = {The requirement for an ultraviolet completable theory to be wellbehaved upon compactification has been suggested as a guiding principle for distinguishing the landscape from the swampland. Motivated by the weak gravity conjecture and the multiple point principle, we investigate the vacuum structure of the standard model compactified on S1 and T2. The measured value of the Higgs mass implies, in addition to the electroweak vacuum, the existence of a new vacuum where the Higgs field value is around the Planck scale. We explore two and threedimensional critical points of the moduli potential arising from compactifications of the electroweak vacuum as well as this high scale vacuum, in the presence of Majorana/Dirac neutrinos and/or axions. We point out potential sources of instability for these lower dimensional critical points in the standard model landscape. We also point out that a high scale AdS4 vacuum of the Standard Model, if exists, would be at odd with the conjecture that all nonsupersymmetric AdS vacua are unstable. We argue that, if we require a degeneracy between three and fourdimensional vacua as suggested by the multiple point principle, the neutrinos are predicted to be Dirac, with the mass of the lightest neutrino ≈O(1–10) meV, which may be tested by future CMB, large scale structure and 21cm line observations.},
doi = {10.1007/jhep11(2017)043},
journal = {Journal of High Energy Physics (Online)},
issn = {10298479},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}
Web of Science
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