Hybrid renormalization for distribution amplitude of a light baryon in large momentum effective theory

TL;DR

This paper develops and tests a hybrid renormalization method for lattice QCD calculations of light baryon distribution amplitudes, effectively removing divergences and enabling accurate extraction of physical distributions.

Contribution

It introduces a hybrid renormalization scheme combining self and ratio methods for quasi-distribution amplitudes of light baryons in lattice QCD.

Findings

Successfully cancels linear divergences in lattice calculations.

Produces smooth, continuum-like distributions suitable for Fourier transform.

Validates the hybrid renormalization approach for future LaMET studies.

Abstract

Lightcone distribution amplitudes for a light baryon can be extracted through the simulation of the quasi-distribution amplitudes (quasi-DAs) on the lattice. We implement the hybrid renormalization for the quasi DAs of light baryons. Lattice simulations are performed using $N_f = 2+1$ stout-smeared clover fermions and a tree-level Symanzik-improved gauge action, with three lattice spacings of ${0.105, 0.077, 0.052}$ fm. By analyzing zero-momentum matrix elements for different lattice spacings, we extract the linear divergence associated with the Wilson-line self-energy. Matching to perturbative matrix elements in the $\overline{\text{MS}}$ scheme yields the residual self-renormalization factors. Using these factors, we renormalize the quasi-DAs within the hybrid scheme, which combines self-renormalization at large separations and the ratio scheme at short distances. The renormalized results demonstrate effective cancellation of linear divergences and yield smooth, continuum-like coordinate-space distributions suitable for subsequent Fourier transformation and perturbative matching. These results establish the viability of both self and hybrid renormalization frameworks for light baryon quasi-DAs, providing a robust foundation for LaMET-based determinations of light-cone distribution amplitudes.