ID:
426884.0,
MPI für Kernphysik / Theoretical Particle and AstroParticle Physics 
A Supersymmetric D_{4} model for μτ symmetry 
Authors:  Adulpravitchai, Adisorn; Blum, Alexander; Hagedorn, Claudia 
Language:  English 
Date of Publication (YYYYMMDD):  20090306 
Title of Journal:  Journal of High Energy Physics 
Journal Abbrev.:  JHEP 
Volume:  03 
Issue / Number:  046 
Start Page:  1 
End Page:  24 
Review Status:  not specified 
Audience:  Experts Only 
Abstract / Description:  We construct a supersymmetric model with the flavor symmetry D14 in which the CKM matrix element V_{ud} can take the value V_{ud} =cos (pi/14) = 0.97493 implying that the Cabibbo angle theta_C is sin (theta_C) = V_{us} = sin (pi/14) = 0.2225. These values are very close to those observed in experiments. The value of V_{ud} (theta_C) is based on the fact that different Z2 subgroups of D14 are conserved in the up and down quark sector. In order to achieve this, D14 is accompanied by a Z3 symmetry. The spontaneous breaking of D14 is induced by flavons, which are scalar gauge singlets. The quark mass hierarchy is partly due to the flavor group D14 and partly due to a FroggattNielsen symmetry U(1)_{FN} under which only the righthanded quarks transform. The model is completely natural in the sense that the hierarchies among the quark masses and mixing angles are generated with the help of symmetries. The issue of the vacuum alignment of the flavons is solved up to a small number of degeneracies, leaving four different possible values for V_{ud}. Out of these, only one of them leads to a phenomenological viable model. A study of the Z2 subgroup breaking terms shows that the results achieved in the symmetry limit are only slightly perturbed. At the same time they allow V_{ud} (theta_C) to be well inside the small experimental error bars. 
External Publication Status:  published 
Document Type:  Article 
Communicated by:  N. N. 
Affiliations:  MPI für Kernphysik/Group of M. Lindner

External Affiliations:  Scuola Internazionale Superiore di Studi Avanzati
via Beirut 24
I34100 Trieste, ITALY (for Claudia Hagedorn)

Identifiers:  URL:http://arxiv.org/abs/0812.3799 [arXiv version] DOI:10.1088/11266708/2009/03/046 
