Speaker
Description
The gradient flow has emerged as a powerful tool to enhance the Large Momentum Effective Theory (LaMET) program, offering both conceptual and practical advantages in lattice QCD studies of hadronic structure. In this report, I present our recent progress in applying the gradient flow to baryon light-cone distribution amplitudes (LCDAs) and quasi-parton distribution functions (quasi-PDFs). For baryon LCDAs, a hybrid renormalization scheme combining the ratio method with gradient flow eliminates logarithmic divergences and enables high-precision determination of nonperturbative amplitudes. For quasi-PDFs, explicit bubble-chain calculations reveal that the gradient flow removes ultraviolet renormalons while significantly deforming the infrared renormalon structure, thereby modifying the pattern of higher-twist corrections. These developments highlight the dual role of gradient flow: it both improves numerical stability in lattice computations and reshapes our understanding of renormalization and power corrections in LaMET. Together, they establish gradient flow as a key ingredient in advancing precision studies of partonic structure from first principles.
