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| Main Authors: | , , , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.12554 |
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| _version_ | 1866929723367489536 |
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| author | Chu, Min-Huan Bai, Haoyang Hua, Jun Liang, Jian Ji, Xiangdong Schafer, Andreas Su, Yushan Wang, Wei Yang, Yi-Bo Zeng, Jun Zhang, Jian-Hui Zhang, Qi-An |
| author_facet | Chu, Min-Huan Bai, Haoyang Hua, Jun Liang, Jian Ji, Xiangdong Schafer, Andreas Su, Yushan Wang, Wei Yang, Yi-Bo Zeng, Jun Zhang, Jian-Hui Zhang, Qi-An |
| contents | We calculate the leading-twist light-cone distribution amplitudes of the light $Λ$ baryon using lattice methods within the framework of large momentum effective theory. Our numerical computations are conducted employing $N_f=2+1$ stout smeared clover fermions and a Symanzik gauge action on a lattice with spacing $a=0.077\;\rm{fm}$, and a pion mass of 303 MeV. To approach the large momentum regime, we simulate the equal-time correlations with the hadron momentum $P^z = \{2.52, 3.02, 3.52\}$ GeV. By investigating the potential analytic characteristics of the baryon quasi-distribution amplitude in coordinate space, we validate these findings through our lattice calculations. After renormalization and extrapolation, we present results for the three-dimensional distribution of momentum fractions for the two light quarks. Based on these findings the paper briefly discusses the phenomenological impact on weak decays of $Λ_b$, and outlines potential systematic uncertainties that can be improved in the future. This work lays the theoretical foundation for accessing baryon LCDAs from lattice QCD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12554 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Light Cone Distribution Amplitude for the $Λ$ Baryon from Lattice QCD Chu, Min-Huan Bai, Haoyang Hua, Jun Liang, Jian Ji, Xiangdong Schafer, Andreas Su, Yushan Wang, Wei Yang, Yi-Bo Zeng, Jun Zhang, Jian-Hui Zhang, Qi-An High Energy Physics - Lattice We calculate the leading-twist light-cone distribution amplitudes of the light $Λ$ baryon using lattice methods within the framework of large momentum effective theory. Our numerical computations are conducted employing $N_f=2+1$ stout smeared clover fermions and a Symanzik gauge action on a lattice with spacing $a=0.077\;\rm{fm}$, and a pion mass of 303 MeV. To approach the large momentum regime, we simulate the equal-time correlations with the hadron momentum $P^z = \{2.52, 3.02, 3.52\}$ GeV. By investigating the potential analytic characteristics of the baryon quasi-distribution amplitude in coordinate space, we validate these findings through our lattice calculations. After renormalization and extrapolation, we present results for the three-dimensional distribution of momentum fractions for the two light quarks. Based on these findings the paper briefly discusses the phenomenological impact on weak decays of $Λ_b$, and outlines potential systematic uncertainties that can be improved in the future. This work lays the theoretical foundation for accessing baryon LCDAs from lattice QCD. |
| title | Light Cone Distribution Amplitude for the $Λ$ Baryon from Lattice QCD |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2411.12554 |