Practical guide to loop integration

Starting week 16, 2024 – every Tuesday from 2pm - 4pm in room 119 – ending week 22, 2024

Loop integration is a vital part of any higher order calculation. However, practical tools to actually compute these integrals are rarely covered in lectures. In this course, I will cover some advanced tools that have been used in a number of multi-scale multi-loop calculations.

After introducing the problem, I will 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.

The course will be composed of lectures introducing the techniques and practical, hands-on example at the two-loop level. The materials of the course can be found here.

Learning results of the course:

The objective of this course is to equip participants with tools and resources to calculate multi-loop integrals.

Lecturer:

Dr. Yannick Ulrich