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Quark masses and mixings in E-6 x S-3: A Monte Carlo approach

AuthorsMorisi, Stefano
Keywords3rd Quantization
Neutrino masses
Cosmological constant
Flavor symmetries
Unified field theories and models
Neutrino mass and mixing
Quarks and leptons masses and mixing
Issue Date10-Jul-2007
PublisherWorld Scientific Publishing
CitationInternational Journal of Modern Physics A 22(16-17): 2921-2933 (2007)
AbstractRecently the authors of arXiv:hep-ph/0510321 proposed a GUT model for fermion masses and mixings with spontaneously broken S-3 discrete flavor symmetry, where S-3 is the permutation group of three objects. The S-3 breaking pattern in the quark sector is not studied and need further investigation. Since in such a model the number of free parameters is greater than the number of experimental observables, an analytical fit of all the parameters is impossible. To go forward with the model building and to deal with this problem we have used a statistical analysis. We have found that S-3 is totally broken and the up-type quarks matrix is approximatively diagonal while down-type quarks matrix is not symmetric and it is parametrized by three couplings, g(d), g(L)(d) and g(3)(d). It has been found that g(L)(d) is slightly smaller than g(d) = 1 and it is of order one, while g(3)(d) ~ λ(3) where λ is the Cabibbo angle. An analytical study of the dependence of V-cb and V-ub from the coupling g(L)(d) and g(3)(d) is also presented.
Description13 pages, 3 figures.-- ISI Article Identifier: 000251712700004.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-ph/0604106
Publisher version (URL)http://dx.doi.org/10.1142/S0217751X07036841
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