In our discussion of the reaction e + + e μ + + μ , we completely neglected the Higgs exchange diagram of Figure 10.30,

In our discussion of the reaction e⁺+ e^ˆ’†’ μ⁺+ μ^ˆ’, we completely neglected the Higgs exchange diagram of Figure 10.30, compared with the dominant diagrams of Figures 10.2(a) and (b). Since the Higgs contribution is obviously largest at E_CM= M_H, where the contributions of Figures 10.2(a) and (b) are expected to be comparable, justify this approximation by using the appropriate H⁰branching ratios to estimate the total cross-section at E_CM= M_Hthat would arise from Figure 10.30 alone, and compare with estimates of the cross-sections which would arise from Figure 10.2(a) alone. Make the same comparisons of the contributions from Figure 10.2(a) alone and Figure 10.2(b) alone at E_CM= M_Z.

Figure 10.2

Figure 10.30

e+ " (a) Z e+ (b)