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Accessing the HQET B-meson shape function from a large-momentum effective theory quasishape function

Ao-Sheng Xiong1,*, Jun Ding1, Ji Xu1,†, Jun Zeng2,‡, and Shuai Zhao3,§

  • 1Frontiers Science Center for Rare Isotopes, and School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
  • 2College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, Hainan, China
  • 3Department of Physics and Center for Joint Quantum Studies, School of Science, Tianjin University, Tianjin 300350, China

  • *Contact author: xiongash21@lzu.edu.cn
  • †Contact author: xuji@lzu.edu.cn
  • ‡Contact author: zengj@hainnu.edu.cn
  • §Contact author: zhaos@tju.edu.cn
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Phys. Rev. D 114, 074013 – Published 5 October, 2026

DOI: https://doi.org/10.1103/txcm-2lzw

Abstract

The shape function and the light-cone distribution amplitude of the heavy meson jointly characterize the nonperturbative structure of the heavy meson on the light cone, with the former being essential for theoretical predictions of inclusive decays and the latter for exclusive decays. While first-principles lattice QCD results for the heavy meson LCDA have become available in recent years, lattice results for the shape function remain absent. In this work, we establish a two-step factorization scheme—known as the HQLaMET framework—for computing the B-meson shape function on the lattice, which separates the three scales PBz, mb, and ΛQCD at leading power. For illustration, starting from a phenomenological model for the shape function in HQET, we provide a graphical presentation of the entire procedure of this framework. The results of the current work lay the foundation for nonperturbative lattice QCD determinations of the shape function in the near future.

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Phys. Rev. D 114, 074013– Published 5 October, 2026
  • Received 3 July 2026
  • Accepted 1 September 2026
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