Group-Theoretical Determination of the Mixing Angle in the Electroweak Gauge Group

1994/10/18 by V. Aldaya, M. Calixto, J. Guerrero
Physics and Astronomy · #hep-th

paper · pdf

published as Int.J.Theor.Phys. 35 (1996) 1901-1908 · 7 pages, UG-FT-48/94

arxiv created 1994/10/18 · arxiv updated 2009/11/30

Abstract

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 sin²θ_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-M_W²/M_Z² are in principle unrelated quantities.

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