Cosmological Constant in SUGRA Models with Degenerate Vacua
The extrapolation of couplings up to the Planck scale within the standard model (SM) indicates that the Higgs effective potential can have two almost degenerate vacua, which were predicted by the multiple point principle (MPP). The application of the MPP to <inline-formula> <math display=&q...
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MDPI AG
2019-10-01
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| Online Access: | https://www.mdpi.com/2218-1997/5/10/214 |
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| author | Colin Froggatt Holger Nielsen Roman Nevzorov Anthony Thomas |
| author_facet | Colin Froggatt Holger Nielsen Roman Nevzorov Anthony Thomas |
| author_sort | Colin Froggatt |
| collection | DOAJ |
| description | The extrapolation of couplings up to the Planck scale within the standard model (SM) indicates that the Higgs effective potential can have two almost degenerate vacua, which were predicted by the multiple point principle (MPP). The application of the MPP to <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mi>N</mi> <mo>=</mo> <mn>1</mn> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> supergravity (SUGRA) implies that the SUGRA scalar potential of the hidden sector possesses at least two exactly degenerate minima. The first minimum is associated with the physical phase in which we live. In the second supersymmetric (SUSY) Minkowski vacuum, the local SUSY may be broken dynamically, inducing a tiny vacuum energy density. In this paper, we consider the no-scale-inspired SUGRA model in which the MPP conditions are fulfilled without any extra fine-tuning at the tree-level. Assuming that at high energies, the couplings in both phases are identical, one can estimate the dark energy density in these vacua. Using the two-loop renormalization group (RG) equations, we find that the measured value of the cosmological constant can be reproduced if the SUSY breaking scale <inline-formula> <math display="inline"> <semantics> <msub> <mi>M</mi> <mi>S</mi> </msub> </semantics> </math> </inline-formula> in the physical phase is of the order of 100 TeV. The scenario with the Planck scale SUSY breaking is also discussed. |
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| issn | 2218-1997 |
| language | English |
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| spelling | doaj.art-3c3f46f165be48b281d5f199fb804b4d2022-12-22T04:01:28ZengMDPI AGUniverse2218-19972019-10-0151021410.3390/universe5100214universe5100214Cosmological Constant in SUGRA Models with Degenerate VacuaColin Froggatt0Holger Nielsen1Roman Nevzorov2Anthony Thomas3School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, UKThe Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, DenmarkNRC Kurchatov Institute—ITEP, 117218 Moscow, RussiaARC Centre of Excellence for Particle Physics at the Terascale and CSSM, Department of Physics, The University of Adelaide, Adelaide, SA 5005, AustraliaThe extrapolation of couplings up to the Planck scale within the standard model (SM) indicates that the Higgs effective potential can have two almost degenerate vacua, which were predicted by the multiple point principle (MPP). The application of the MPP to <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mi>N</mi> <mo>=</mo> <mn>1</mn> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> supergravity (SUGRA) implies that the SUGRA scalar potential of the hidden sector possesses at least two exactly degenerate minima. The first minimum is associated with the physical phase in which we live. In the second supersymmetric (SUSY) Minkowski vacuum, the local SUSY may be broken dynamically, inducing a tiny vacuum energy density. In this paper, we consider the no-scale-inspired SUGRA model in which the MPP conditions are fulfilled without any extra fine-tuning at the tree-level. Assuming that at high energies, the couplings in both phases are identical, one can estimate the dark energy density in these vacua. Using the two-loop renormalization group (RG) equations, we find that the measured value of the cosmological constant can be reproduced if the SUSY breaking scale <inline-formula> <math display="inline"> <semantics> <msub> <mi>M</mi> <mi>S</mi> </msub> </semantics> </math> </inline-formula> in the physical phase is of the order of 100 TeV. The scenario with the Planck scale SUSY breaking is also discussed.https://www.mdpi.com/2218-1997/5/10/214supergravitycosmological constanthiggs boson |
| spellingShingle | Colin Froggatt Holger Nielsen Roman Nevzorov Anthony Thomas Cosmological Constant in SUGRA Models with Degenerate Vacua Universe supergravity cosmological constant higgs boson |
| title | Cosmological Constant in SUGRA Models with Degenerate Vacua |
| title_full | Cosmological Constant in SUGRA Models with Degenerate Vacua |
| title_fullStr | Cosmological Constant in SUGRA Models with Degenerate Vacua |
| title_full_unstemmed | Cosmological Constant in SUGRA Models with Degenerate Vacua |
| title_short | Cosmological Constant in SUGRA Models with Degenerate Vacua |
| title_sort | cosmological constant in sugra models with degenerate vacua |
| topic | supergravity cosmological constant higgs boson |
| url | https://www.mdpi.com/2218-1997/5/10/214 |
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