 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/iii/paper-305/4/c/solution

Direct integration between the two renormalization scales gives

α_{i}^{- 1} (μ) = α_{i}^{- 1} (m_{Z}) + \frac{β _{i}}{2 π} lo g \frac{μ}{m _{Z}} .

 New to topics? Read the docs here!