Griffiths Introduction to Elementary Particles · Problem 10.17

Weak Interactions — David J. Griffiths

Physics — QFT · w-z-mass-prediction

Problem

Given the weak mixing angle

\theta_w = 28.7^\circ

(

\sin^2\theta_w = 0.23

) and the relations

g_w = g_e/\sin\theta_w

g_z = g_e/(\sin\theta_w \cos\theta_w)

M_W = M_Z \cos\theta_w

, and

G_F/(\hbar c)^3 = 1.166 \times 10^{-5}\,\text{GeV}^{-2}

, calculate the predicted masses

M_W

and

M_Z

of the intermediate vector bosons.