A semi-analytic method for one-scale Feynman integrals

by Matteo Fael (CERN)

Friday 24 Feb 2023, 14:00 → 16:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

I will describe a method to numerically compute multi-loop integrals depending on one dimensionless parameter. The method is based on a system of differential equations which is solved order-by-order in the dimensional regulator in terms of truncated series expansions around singular and regular points. This method provides results well suited for fast numerical evaluation and sufficiently precise for phenomenological studies. I will discuss its application to the calculation of the QCD massive form factors at three loops and semileptonic decays of B mesons.
 

Seminar_CERN.pdf