Finite Unification: Theory and Predictions
All-loop Finite Unified Theories (FUTs) are very interesting N=1 supersymmetric Grand Unified Theories (GUTs) which not only realise an old field theoretic dream but also have a remarkable predictive power due to the required reduction of couplings. The reduction of the dimensionless couplings in N=...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146338 |
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| Cite this: | Finite Unification: Theory and Predictions / S. Heinemeyer, M. Mondragón, G. Zoupanos // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 145 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862568268940705792 |
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| author | Heinemeyer, S. Mondragón, M. Zoupanos, G. |
| author_facet | Heinemeyer, S. Mondragón, M. Zoupanos, G. |
| citation_txt | Finite Unification: Theory and Predictions / S. Heinemeyer, M. Mondragón, G. Zoupanos // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 145 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | All-loop Finite Unified Theories (FUTs) are very interesting N=1 supersymmetric Grand Unified Theories (GUTs) which not only realise an old field theoretic dream but also have a remarkable predictive power due to the required reduction of couplings. The reduction of the dimensionless couplings in N=1 GUTs is achieved by searching for renormalization group invariant (RGI) relations among them holding beyond the unification scale. Finiteness results from the fact that there exist RGI relations among dimensionless couplings that guarantee the vanishing of all beta-functions in certain N=1 GUTs even to all orders. Furthermore developments in the soft supersymmetry breaking sector of N=1 GUTs and FUTs lead to exact RGI relations, i.e. reduction of couplings, in this dimensionful sector of the theory too. Based on the above theoretical framework phenomenologically consistent FUTS have been constructed. Here we present FUT models based on the SU(5) and SU(3)3 gauge groups and their predictions. Of particular interest is the Higgs mass prediction of one of the models which is expected to be tested at the LHC.
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| first_indexed | 2025-11-26T00:20:10Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146338 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T00:20:10Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
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| spelling | Heinemeyer, S. Mondragón, M. Zoupanos, G. 2019-02-09T08:38:37Z 2019-02-09T08:38:37Z 2010 Finite Unification: Theory and Predictions / S. Heinemeyer, M. Mondragón, G. Zoupanos // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 145 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81T60; 81V22 DOI:10.3842/SIGMA.2010.049 https://nasplib.isofts.kiev.ua/handle/123456789/146338 All-loop Finite Unified Theories (FUTs) are very interesting N=1 supersymmetric Grand Unified Theories (GUTs) which not only realise an old field theoretic dream but also have a remarkable predictive power due to the required reduction of couplings. The reduction of the dimensionless couplings in N=1 GUTs is achieved by searching for renormalization group invariant (RGI) relations among them holding beyond the unification scale. Finiteness results from the fact that there exist RGI relations among dimensionless couplings that guarantee the vanishing of all beta-functions in certain N=1 GUTs even to all orders. Furthermore developments in the soft supersymmetry breaking sector of N=1 GUTs and FUTs lead to exact RGI relations, i.e. reduction of couplings, in this dimensionful sector of the theory too. Based on the above theoretical framework phenomenologically consistent FUTS have been constructed. Here we present FUT models based on the SU(5) and SU(3)3 gauge groups and their predictions. Of particular interest is the Higgs mass prediction of one of the models which is expected to be tested at the LHC. This paper is a contribution to the Proceedings of the Eighth International Conference “Symmetry in Nonlinear Mathematical Physics” (June 21–27, 2009, Kyiv, Ukraine). The full collection is available at http://www.emis.de/journals/SIGMA/symmetry2009.html.
 It is a pleasure for one of us (G.Z.) to thank the Organizing Committee for the very warm
 hospitality of fered. This work is partially supported by the NTUA’s basic research support
 programme 2008 and 2009, and the European Union’s RTN programme under contract MRTNCT-2006-035505. Supported also by a mexican PAPIIT grant IN112709, and by Conacyt grants 82291 and 51554-F. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Finite Unification: Theory and Predictions Article published earlier |
| spellingShingle | Finite Unification: Theory and Predictions Heinemeyer, S. Mondragón, M. Zoupanos, G. |
| title | Finite Unification: Theory and Predictions |
| title_full | Finite Unification: Theory and Predictions |
| title_fullStr | Finite Unification: Theory and Predictions |
| title_full_unstemmed | Finite Unification: Theory and Predictions |
| title_short | Finite Unification: Theory and Predictions |
| title_sort | finite unification: theory and predictions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146338 |
| work_keys_str_mv | AT heinemeyers finiteunificationtheoryandpredictions AT mondragonm finiteunificationtheoryandpredictions AT zoupanosg finiteunificationtheoryandpredictions |