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Conclude that ifmh>2mbthen the Higgs will almost always decay tobb¯.c) What is the total cross section fore+e-→h→b¯b? How many Higgses could LEP1 have produced through this way?d) Ifs√>mh+mZ, the processe+e-→Z+h→bb¯μ+μ-is allowed. How many Hig-gses could LEP 2 have produced this way? (The branching ratio ofZ→μ+μ-isaround 3%. You can assumeZandhare produced on-shell, andZcouples like aphoton.)2. Calculate the 1-loop contribution of the Higgs boson to the electron magnetic moment.You are allowed to make approximations if necessary.3. Indirect Higgs searches.a) The experimental value and theoretical prediction forg-2 of the electron are listedon the door of Jefferson 463. Use these values to put a lower bound on the Higgsmass.b) The current best experimental value forg-2 of the muon isgμ-22=11659208.0±6.3×10-10. The current theory prediction (with no Higgs) isgμ-22=11659182.0±8.0×10-10. Use these values to put a lower bound on the Higgs mass.c) The bound you found is very weak because the Higgs is neutral. Can you think of