Speaker
Ma Rourou
(U)
Description
In this talk, we introduce our work on a new type of canonical differential equation for heavy quark effective theory (HQET). This method aims at calculating the divergent part of Feynman integrals with only one region of divergence. For this special type Feynman integrals, we invent three ingredients 1) the "graded IBP operator", 2) syzygy method to control the types of divergence, 3) the "initial" algorithm for 4D canonical differential equation. We show the power of our method by calculating an example of 3-loop HQET integral family, whose 1/epsilon coefficients correspond to the angle-dependent cusp anomalous dimension.
Primary author
Ma Rourou
(U)
Co-authors
Johannes Henn
Yang Zhang
Kai Yan