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Teaching

A picture of an n-loop sunrise

Loop Integration

Loop integration is a vital part of any higher order calculation. However, practical tools to actually compute these integrals are rarely covered in lectures. I have developed a course where I cover some advanced tools that have been used in a number of multi-scale multi-loop calculations. After introducing the problem, I discuss integration-by-parts reduction to reduce the number of integrals. Next, I will discuss the method of regions to reduce the number of scales of the integrals. Finally, I will discuss the method of differential equations and in particular Auxilary Mass Flow to actually calculate the integrals.