Question
Calculate the partial widths of the three decay modes $\mathrm{Z} \rightarrow \mathrm{e}^{+} \mathrm{e}^{-}$, ūu, $\bar{d} d$. Hence, predict the total width of the $\mathrm{Z}$ in the standard model, assuming $\sin ^2 \theta_W=\frac{1}{4}$ and $M_Z=90 \mathrm{GeV}$. Do not forget color.
Step 1
166 \times 10^{-5} \, \text{GeV}^{-2}$), $M_Z$ is the mass of the Z boson, $N_c^f$ is the color factor (1 for leptons, 3 for quarks), and $g_V$, $g_A$ are the vector and axial-vector couplings of the fermion. Show more…
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