#### Hall 123

#### Asymptotic analysis of multi-scale, multi-loop Feynman integrals

#### Ratan Sarkar

##### IISc/ Visitor to IMSc

*Collider experiments have become more and more accurate over the years. This fact demands that theoretical predictions need to be improved as well. This implies that one needs to include higher order corrections to theoretical predictions. It is thus important to have a deeper understanding of analytic structure of multi-scale, multi-loop Feynman integrals. Analytic evaluation of multi-scale, multi-loop Feynman integrals is non-trivial due to the presence of various scales. It is useful to perform systematic approximations based on scale hierarchies to simplify the integrals. The strategy of expansion by regions is one of the systematic approaches for performing the asymptotic analysis of multi-scale, multi-loop Feynman integrals. In this talk, I will describe how this method produces exact results. I will also give a demonstration on the Mathematica program ASPIRE which unveils the set of regions for a given multi-scale, multi-loop Feynman integral in a given kinematic limit.*

Done