Show that the Weinberg angle \(\theta_{\mathrm{W}}\) is related to the coupling strengths \(g\) and \(g^{\prime}\) by

\[\sqrt{g^{2}+g^{\prime 2}}=\frac{g}{\cos \theta_{\mathrm{W}}}=\frac{g^{\prime}}{\sin \theta_{\mathrm{W}}}\]

for the electroweak model, and that Eq. (19.23) is equivalent to Eq. (19.26).

Data from Eq. 19.23

Data from Eq. 19.26

Transcribed Image Text:

Z = -g'a+gb g + 82 A = ga + g'b g +82