Abstract
Momentum distributions of quarks/gluons inside a light baryon in a hard exclusive process are encoded in the light-cone distribution amplitudes (LCDAs). In this work, we point out that the leading twist LCDAs of a light baryon can be obtained through a simulation of a quasi-distribution amplitude calculable on lattice QCD within the framework of the large-momentum effective theory. We calculate the one-loop perturbative contributions to LCDA and quasi-distribution amplitudes and explicitly demonstrate the factorization of quasi-distribution amplitudes at the one-loop level. Based on the perturbative results, we derive the matching kernel in the \( \overline{\textrm{MS}} \) scheme and regularization-invariant momentum-subtraction scheme. Our result provides a first step to obtaining the LCDA from first principle lattice QCD calculations in the future.
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Acknowledgments
We thank Minhuan Chu, Jun Hua, Xiangdong Ji, Yushan Su and Qi-An Zhang for their valuable discussions. This work is supported in part by the Natural Science Foundation of China under Grants No. 12205180, No. 12147140, No. 11735010, No. 12125503, and No. 11905126, by the Natural Science Foundation of Shanghai, by the Project funded by China Postdoctoral Science Foundation under Grant No. 2022M712088.
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Deng, ZF., Han, C., Wang, W. et al. Light-cone distribution amplitudes of a light baryon in large-momentum effective theory. J. High Energ. Phys. 2023, 191 (2023). https://doi.org/10.1007/JHEP07(2023)191
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DOI: https://doi.org/10.1007/JHEP07(2023)191