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  Natural Vacuum Alignment from Group Theory: The Minimal Case

Holthausen, M., & Schmidt, M. A. (2012). Natural Vacuum Alignment from Group Theory: The Minimal Case. Journal of High Energy Physics, JHEP01(2012): 126. doi:10.1007/JHEP01(2012)126.

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1111.1730 (Preprint), 873KB
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1111.1730
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http://www.springerlink.com/content/r02t5g8n32273n20/ (Verlagsversion)
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 Urheber:
Holthausen, Martin1, Autor           
Schmidt, Michael A.2, Autor
Affiliations:
1Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society, ou_904549              
2Institute for Particle Physics Phenomenology University of Durham Durham DH1 3LE United Kingdom, ou_persistent22              

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Schlagwörter: High Energy Physics - Phenomenology, hep-ph
 Zusammenfassung: Discrete flavour symmetries have been proven successful in explaining the leptonic flavour structure. To account for the observed mixing pattern, the flavour symmetry has to be broken to different subgroups in the charged and neutral lepton sector. However, cross-couplings via non-trivial contractions in the scalar potential force the group to break to the same subgroup. We present a solution to this problem by extending the flavour group in such a way that it preserves the flavour structure, but leads to an 'accidental' symmetry in the flavon potential. We have searched for symmetry groups up to order 1000, which forbid all dangerous cross-couplings and extend one of the interesting groups A4, T7, S4, T' or \Delta(27). We have found a number of candidate groups and present a model based on one of the smallest extension of A4, namely Q8 \rtimes A4. We show that the most general non-supersymmetric potential allows for the correct vacuum alignment. We investigate the effects of higher dimensional operators on the vacuum configuration and mixing angles, and give a see-saw-like UV completion. Finally, we discuss the supersymmetrization of the model. Additionally, we release the Mathematica package "Discrete" providing various useful tools for model building such as easily calculating invariants of discrete groups and flavon potentials.

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 Datum: 2011-11-072012-01-302011-11-012012-01-25
 Publikationsstatus: Online veröffentlicht
 Seiten: 33 pages, 7 figures; references added, minor changes, matches version published in JHEP
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Titel: Journal of High Energy Physics
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Bologna, Italy : Società italiana di fisica
Seiten: - Band / Heft: JHEP01(2012) Artikelnummer: 126 Start- / Endseite: - Identifikator: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002_1