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

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

1994-10-18

arxiv.org/abs/hep-th/9410131v1

Int.J.Theor.Phys. 35 (1996) 1901-1908

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, UG-FT-48/94

Scientific paper

The assumption that the Weinberg rotation between the gauge fields associated with the third component of the ``weak isospin" ($T_3$) and the hypercharge ($Y$) proceeds in a natural way from a global homomorphism of the $SU(2)\otimes U(1)$ gauge group in some locally isomorphic group (which proves to be $U(2)$), imposes strong restrictions so as to fix the single value $\sin^2\theta_W=1/2$. 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 $e^2/g^2$ and $1-M_W^2/M_Z^2$ are in principle unrelated quantities.

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