Homework Solution 1 for Physics 612

  • The calculation of the Higgs contribution to the quadratic divergence of the Higgs mass is in Section 2 here and Section 2 here. You will need to make the proper identification for the 3 Higgs vertex Feynman rule (a factor of -3 i Mh**2/v) and the 4-Higgs vertex Feynman rule (a factor of -3i mh**2/v**2) in the Standard Model. Remember that identical scalars get a factor of 1/2 in the loop. The final answer is delta mh**2= (Lambda**2/8/sqrt(2)/pi**2)(mh**2/v**2), where Lambda is the cutoff scale.