Global restrictions to the Mixing Angle $θ_W$

Details Global restrictions to the Mixing Angle $θ_W$ Global restrictions to the Mixing Angle $θ_W$

1997-02-09

arxiv.org/abs/hep-th/9702071v1

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, Latex2e, Presented at 21st International Colloquium on Group Theoretical Methods in Physics, Goslar, Germany, 15-20 J

Scientific paper

We provide the theoretic value 1/2 for the quantity $\sin**2\theta_W=e**2/g**2$, as opposite to the experimental value of $\sin**2\theta_W=1-M_W**2/M_Z**2 \sim 0.23$, in the electro-weak gauge group $SU(2)\otimes U(1)_Y$. The arguments we use are of topological nature and have to do with natural requirements of globality in the transformations of the gauge algebra. This results supports the idea that the two definitions of $\sin**2\theta_W$ cannot be simultaneously identified except, maybe, in an asymptotic limit corresponding to an earlier stage of the Universe, before the spontaneous symmetry breaking had taken place.

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