No-go theorems for R symmetries in four-dimensional GUTs

We prove that it is impossible to construct a grand unified model, based on a simple gauge group, in four dimensions that leads to the exact MSSM, nor to a singlet extension, and possesses an unbroken R symmetry. This implies that no MSSM model with either a Z_{M>=3}^R or U(1)_R symmetry can be c...

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Detalles Bibliográficos
Autores principales: Fallbacher, Maximilian, Ratz, Michael, Vaudrevange, Patrick K.S.
Lenguaje:eng
Publicado: 2011
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2011.10.063
http://cds.cern.ch/record/1384658
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author Fallbacher, Maximilian
Ratz, Michael
Vaudrevange, Patrick K.S.
author_facet Fallbacher, Maximilian
Ratz, Michael
Vaudrevange, Patrick K.S.
author_sort Fallbacher, Maximilian
collection CERN
description We prove that it is impossible to construct a grand unified model, based on a simple gauge group, in four dimensions that leads to the exact MSSM, nor to a singlet extension, and possesses an unbroken R symmetry. This implies that no MSSM model with either a Z_{M>=3}^R or U(1)_R symmetry can be completed by a four-dimensional GUT in the ultraviolet. However, our no-go theorem does not apply to GUT models with extra dimensions. We also show that it is impossible to construct a 4D GUT that leads to the MSSM plus an additional anomaly-free symmetry that forbids the mu term.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
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spelling cern-13846582023-05-02T02:01:39Zdoi:10.1016/j.physletb.2011.10.063http://cds.cern.ch/record/1384658engFallbacher, MaximilianRatz, MichaelVaudrevange, Patrick K.S.No-go theorems for R symmetries in four-dimensional GUTsParticle Physics - PhenomenologyWe prove that it is impossible to construct a grand unified model, based on a simple gauge group, in four dimensions that leads to the exact MSSM, nor to a singlet extension, and possesses an unbroken R symmetry. This implies that no MSSM model with either a Z_{M>=3}^R or U(1)_R symmetry can be completed by a four-dimensional GUT in the ultraviolet. However, our no-go theorem does not apply to GUT models with extra dimensions. We also show that it is impossible to construct a 4D GUT that leads to the MSSM plus an additional anomaly-free symmetry that forbids the mu term.We prove that it is impossible to construct a grand unified model, based on a simple gauge group, in four dimensions that leads to the exact MSSM, nor to a singlet extension, and possesses an unbroken R symmetry. This implies that no MSSM model with either a ZM⩾3R or U(1)R symmetry can be completed by a four-dimensional GUT in the ultraviolet. However, our no-go theorem does not apply to GUT models with extra dimensions. We also show that it is impossible to construct a 4D GUT that leads to the MSSM plus an additional anomaly-free symmetry that forbids the μ term.We prove that it is impossible to construct a grand unified model, based on a simple gauge group, in four dimensions that leads to the exact MSSM, nor to a singlet extension, and possesses an unbroken R symmetry. This implies that no MSSM model with either a Z_{M>=3}^R or U(1)_R symmetry can be completed by a four-dimensional GUT in the ultraviolet. However, our no-go theorem does not apply to GUT models with extra dimensions. We also show that it is impossible to construct a 4D GUT that leads to the MSSM plus an additional anomaly-free symmetry that forbids the mu term.arXiv:1109.4797TUM-HEP-817-11CERN-PH-TH-2011-230TUM-HEP-817-11CERN-PH-TH-2011-230oai:cds.cern.ch:13846582011-09-23
spellingShingle Particle Physics - Phenomenology
Fallbacher, Maximilian
Ratz, Michael
Vaudrevange, Patrick K.S.
No-go theorems for R symmetries in four-dimensional GUTs
title No-go theorems for R symmetries in four-dimensional GUTs
title_full No-go theorems for R symmetries in four-dimensional GUTs
title_fullStr No-go theorems for R symmetries in four-dimensional GUTs
title_full_unstemmed No-go theorems for R symmetries in four-dimensional GUTs
title_short No-go theorems for R symmetries in four-dimensional GUTs
title_sort no-go theorems for r symmetries in four-dimensional guts
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.physletb.2011.10.063
http://cds.cern.ch/record/1384658
work_keys_str_mv AT fallbachermaximilian nogotheoremsforrsymmetriesinfourdimensionalguts
AT ratzmichael nogotheoremsforrsymmetriesinfourdimensionalguts
AT vaudrevangepatrickks nogotheoremsforrsymmetriesinfourdimensionalguts

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