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The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free. To make a donation or view additional materials from hundreds of MIT courses, visit MIT OpenCourseWare at ocw.mit.edu. IAIN STEWART: --play with each other. We did the standard model as an effective field theory, higher dimension operators in the standard model. And then we started talking about taking the standard model as a theory one and removing things from it, in particular constructing whats called the weak Hamiltonian by removing the top W, Z, and Higgs from the standard model. And last time, we were focusing on the anomalous dimensions and things about renormalization. So we had this equation for the weak Hamiltonian for a particular case of b goes to c u bar d. That was the case that we decided to study rather than the full Hamiltonian. So there was some pre-factor. We had two operators with Wilson coeffi