Hybrid renormalization for distribution amplitude of a light baryon in large momentum effective theory
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arXiv
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| Autores principales: | , , , , , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
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| _version_ | 1866917094938902528 |
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| author | Bai, Haoyang Hua, Jun Ji, Xiangdong Jiang, Xiangyu Liang, Jian Schafer, Andreas Wang, Wei Yang, Yibo Zhang, Jianhui Zhang, JiaLu Zhang, Muhua Zhang, Qian |
| author_facet | Bai, Haoyang Hua, Jun Ji, Xiangdong Jiang, Xiangyu Liang, Jian Schafer, Andreas Wang, Wei Yang, Yibo Zhang, Jianhui Zhang, JiaLu Zhang, Muhua Zhang, Qian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08971 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hybrid renormalization for distribution amplitude of a light baryon in large momentum effective theory Bai, Haoyang Hua, Jun Ji, Xiangdong Jiang, Xiangyu Liang, Jian Schafer, Andreas Wang, Wei Yang, Yibo Zhang, Jianhui Zhang, JiaLu Zhang, Muhua Zhang, Qian High Energy Physics - Lattice 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. |
| title | Hybrid renormalization for distribution amplitude of a light baryon in large momentum effective theory |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2508.08971 |