Speaker
Description
We present a practical gradient-flow (GF) renormalization scheme for composite fermion operators based on conserved-current correlation functions. The method determines the fermion wave-function renormalization nonperturbatively from simple two-point correlators, avoiding the need for calculating local flowed operators. The resulting GF-renormalized operators are finite at nonzero flow time and can be matched to the $\overline{\mathrm{MS}}$ scheme through known short flow-time expansion (SFTX) coefficients.
As an application, we present a nonperturbative determination of the mass anomalous dimension and the corresponding flow-time evolution operator that connects the lattice and $\overline{\mathrm{MS}}$ schemes. Combining the nonperturbative results with perturbative SFTX predictions for $\gamma_m$ significantly reduces the residual flow-time dependence of renormalized observables, leading to a more reliable matching to the $\overline{\mathrm{MS}}$ scheme at short flow time.