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# hw03 - PHZ 6358 Standard Model I Fall Term 2011 Homework...

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PHZ 6358: Standard Model I Fall Term 2011 Homework Set 3 Due Wednesday, September 21, 2011 Reading: CalcHEP manual; S. Dawson, “The SM intermediate Higgs boson”, hep-ph/9703387. Problem 1. Input parameters in CalcHEP. Let us critically review the values of the default input parameters in CalcHEP. Browse through the Particles and Parameters lists. Are there any inputs whose values need to be updated? If so, make a list of those, with their correct values. Notice that the default for the Higgs mass is m h = 120 GeV. What is the value of the Higgs width? Problem 2. Higgs interactions in CalcHEP. Using your favourite source for the SM Feynman rules (e.g. textbook, lecture notes from the Field Theory class, etc.) check that the Higgs interactions in Table Lagrangian are programmed correctly. Check for both their structure and the prefactor. Problem 3. Higgs boson branching fractions. For the range of Higgs masses 100 < m h < 400 GeV, plot: (a) the Higgs boson partial widths to b ¯ b, τ + τ - , c ¯ c, s ¯ s, μ + μ - , W + W - , ZZ and t ¯ t ;

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