Group-Theoretical Determination of the Mixing Angle in the Electroweak Gauge Group
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Knowledge AreaMatemática Aplicada
SponsorsV.A. is grateful to M. Asorey, J. Julve and A. Tiemblo, and all of us to J.M. Cerveró, J. Navarro-Salas, M. Navarro and A. Romero for valuable discussions.
Bibliographic CitationNAVARRO, Miguel, ALDAYA VALVERDE, Victor, CALIXTO MOLINA, Manuel. Group-Theoretical Determination of the Mixing Angle in the Electroweak Gauge Group. International Journal of Theoretical Physics, 35: 1901-1908, 1996. ISSN 0020-7748
KeywordsModelo estandar Weinberg-Salam-Glashow
Determinación teórica de grupos
The assumption that the Weinberg rotation between the gauge fields associated with the third component of the “weak isospin” (T3) and the hypercharge (Y ) proceeds in a natural way from a global homomorphism of the SU(2) U(1) gauge group in some locally isomorphic group (which proves to be U(2)), imposes strong restrictions so as to fix the single value sin2 W = 1/2. This result can be thought of only as being an asymptotic limit corresponding to an earlier stage of the Universe. It also lends support to the idea that e2/g2 and 1−M2W /M2Z are in principle unrelated quantities.
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