O. Félix, A. Mondragón, M. Mondragón, and E. Peinado
Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20–364, 01000 México, D.F.
Recibido el 1 de febrero de 2006
Aceptado el 7 de marzo de 2006
Abstract
]]> The mass matrices of the charged leptons and neutrinos, that had been derived in the framework of a Minimal S3–invariant Extension of the Standard Model, are reparametrized in terms of the masses of the charged leptons and neutrinos. Then, the neutrino mixing matrix VP M N S is computed and we obtain explicit, analytic and exact expressions for the neutrino mixing angles as function of the masses of the charged leptons and neutrinos. By comparison with the experimental data on neutrino mixings, we obtain numerical values for the neutrino masses in good agreement with the experimental bounds extracted from neutrinoless double beta decay and precision cosmological observations.Keywords: Flavor symmetries; quark and lepton masses and mixings; neutrino masses and mixings.
Resumen
Las matrices de masas de los leptones cargados y los neutrinos, que previamente habíamos obtenido en una extensión Mínima S3–invariante del Modelo Standard, se reparametrizan en términos de las masas de los leptones cargados y los neutrinos. A partir de aquí, se calcula la matriz de mezclas de los neutrinos, VP M N S, y se obtienen expresiones analíticas, explícitas y exactas para los ángulos de mezcla y las fases de Majorana como función de las masas de los leptones cargados y los neutrinos. Por comparación con los datos experimentales sobre mezclas de neutrinos, obtenemos valores numéricos de las masas de los neutrinos en buen acuerdo con las cotas experimentales extraídas de las medidas de la desintegración beta, la desintegración doble beta sin neutrinos y las observaciones cosmológicas de precisión.
Descriptores: Simetrías del sabor; masas y mezclas de quarks y leptones; masas y mezclas de neutrinos.
PACS: 11.30.Hv;12.15.Ff; 14.60.Pq
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]]>Acknowledgments
This work was partially supported by CONACYT México under contract No 40162–F and by DGAPA–UNAM under contract PAPIIT–IN116202–3.
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