Abstract
We present a comprehensive investigation of leading-twist lightcone distribution amplitudes (LCDAs) and quasi distribution amplitudes (quasi-DAs) for light octet and decuplet baryons within large momentum effective theory. In LaMET, LCDAs can be factorized in terms of a hard kernel and quasi-DAs that are defined as spatial correlators and calculable on Lattice QCD. To renormalize quasi-DAs and eliminate the singular terms ln(\( {\mu}^2{z}_i^2 \)) in them, which undermine the efficacy in perturbative expansion, we adopt a hybrid renormalization scheme that combines the self-renormalization and ratio scheme. Through self-renormalization, we eliminate UV divergences and linear divergences at large spatial separations in quasi distribution amplitudes without introducing additional nonperturbative effects. By taking a ratio with respect to the zero-momentum matrix element, we effectively remove UV divergences at small spatial separations. Under the hybrid renormalization scheme, we calculate the hard kernels up to one-loop accuracy. It turns out that only four different hard kernels are needed for all leading-twist LCDAs of octet and decuplet baryons. These results are crucial for the lattice-based exploration of the LCDAs of a light baryon from the first principle of QCD.
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Acknowledgments
We thank Zhi-Fu Deng and Yushan Su for the collaboration of refs. [32, 33] and valuable discussions. This work is supported in part by Natural Science Foundation of China under grant No.12125503, 12147140, 12205180 and 12335003. J.Z. is also partially supported by the Project funded by China Postdoctoral Science Foundation under Grant No. 2022M712088.
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Han, C., Wang, W., Zeng, J. et al. Lightcone and quasi distribution amplitudes for light octet and decuplet baryons. J. High Energ. Phys. 2024, 19 (2024). https://doi.org/10.1007/JHEP07(2024)019
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DOI: https://doi.org/10.1007/JHEP07(2024)019