Speaker
Robert Mason
(RWTH Aachen University)
Description
The gradient flow has proved to be a versatile tool for perturbative lattice matching. Precision can only increase with computation cost. This requires optimisation of the tools used in calculations. We discuss the structure of integrals in the gradient flow and present GFReduce, a program for the analytic computation of any massless two-loop gradient flow bubble integral with the standard gradient flow gauge parameter $\kappa=1$. It makes use of direct integration and symmetries to minimise the number of sectors one has to consider before applying tailored integration-by-parts routines. In doing so we argue that the six known master integrals for this system are the only masters possible from physical calculations.
Author
Robert Mason
(RWTH Aachen University)