Abstract: We review our study of a finite volume renormalization scheme that combines a gradient flow-based coupling, the use of twisted boundary conditions, and a special asymmetric geometry. We argue that this scheme has several advantages that make it particularly suitable for precision determinations of the strong coupling constant in QCD, including translational invariance, an analytic expansion in the coupling, and a reduced memory footprint. We test the scheme numerically by determining the Λ parameter of the pure SU(3) Yang-Mills theory. Like most gradient flow-based couplings, this determination suffers severely from the so-called topology freezing, which is overcome here by a judicious definition of the coupling: the determination is projected into the sector of zero topological charge. We show that this definition has no relevant impact on the determination of the Λ parameter.
