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

Haoyang Bai1,2, Jun Hua3,4,*, Xiangdong Ji5, Xiangyu Jiang6, Jian Liang3,4, Andreas Schäfer7,8, Wei Wang9,10,†, Yi-Bo Yang6,11,12,13, Jian-Hui Zhang14 et al. (Lattice Parton Collaboration (LPC)

Jian-Hui Zhang14, JiaLu Zhang15, Mu-Hua Zhang15, and Qi-An Zhang16 (Lattice Parton Collaboration (LPC)

  • 1Institute of High Energy Physics, CAS, Beijing 100049, People’s Republic of China
  • 2School of Physics, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
  • 3State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, People’s Republic of China
  • 4Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Nuclear Science, Guangzhou 510006, People’s Republic of China
  • 5Department of Physics, University of Maryland, College Park, Maryland 20742, USA
  • 6CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
  • 7Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
  • 8Department of Physics, National Taiwan University, Taipei, Taiwan 106, People’s Republic of China
  • 9State Key Laboratory of Dark Matter Physics, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China
  • 10Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, Guangdong Province, People’s Republic of China
  • 11School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, People’s Republic of China
  • 12International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, People’s Republic of China
  • 13School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
  • 14School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, People’s Republic of China
  • 15State Key Laboratory of Dark Matter Physics, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, Tsung-Dao Lee Institute and School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China
  • 16School of Physics, Beihang University, Beijing 102206, People’s Republic of China

  • *Contact author: junhua@scnu.edu.cn
  • †Contact author: wei.wang@sjtu.edu.cn
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Phys. Rev. D 112, 114515 – Published 29 December, 2025

DOI: https://doi.org/10.1103/rqmb-x9x8

Abstract

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 Nf=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 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, 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.

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Phys. Rev. D 112, 114515– Published 29 December, 2025
  • Received 19 August 2025
  • Accepted 25 November 2025
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