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

Light cone 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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msub> <a:mi>N</a:mi> <a:mi>f</a:mi> </a:msub> <a:mo>=</a:mo> <a:mn>2</a:mn> <a:mo>+</a:mo> <a:mn>1</a:mn> </a:math> 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 <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mover accent="true"> <c:mi>MS</c:mi> <c:mo stretchy="true">¯</c:mo> </c:mover> </c:math> 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, continuumlike 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 in future.