Hybrid Renormalization for Baryon Distribution Amplitudes from Lattice QCD in LaMET

TL;DR

This paper introduces a hybrid renormalization scheme for baryon quasi-distribution amplitudes in lattice QCD, enabling reliable calculations across different regimes and improving the continuum limit behavior.

Contribution

The work implements a novel hybrid renormalization method for octet baryon quasi-DAs in lattice QCD, demonstrating its effectiveness and paving the way for future LaMET-based analyses.

Findings

Effective removal of linear divergences in quasi-DAs.

Smooth continuum coordinate-space distributions achieved.

Validation of hybrid renormalization for light-baryon quasi-DAs.

Abstract

In our recent work [1] on lattice QCD calculation of the baryon leading-twist LCDAs within the framework of LaMET, a novel hybrid renormalization scheme is implemented for octet baryon quasi-DAs, yielding reliable results across both perturbative and non-perturbative regions. The numerical simulations are performed using CLQCD ensembles with $N_f = 2+1$ stout-smeared clover fermions and a Symanzik-improved gauge action. Calculations are carried out at three lattice spacings, $a = {0.052, 0.077, 0.105}$ fm. After renormalization, the linear divergences inherent in quasi-DAs are effectively removed, leading to smooth and well-behaved continuum coordinate-space distributions. These results demonstrate the viability of hybrid renormalization frameworks for light-baryon quasi-DAs and provide a robust foundation for future LaMET-based determinations of baryon LCDAs.