Conveners
HP-Quadrature for Feynman Integrals
- Cathrin Semper
Description
In this talk, I will present a numerical quadrature algorithm for evaluating Feynman integrals in the Loop-Tree Duality (LTD) representation. I will outline the main idea behind the algorithm and explain why the LTD representation is well suited for its application. Finally, I will present proof-of-concept results for one-loop Feynman integrals in the Euclidean region, both at leading and higher orders in the dimensional regulator epsilon as well as for divergent integrals after introducing suitable numerators to render the integrals finite.