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  • Letter
  • Open Access

Realistic method to access heavy meson light-cone distribution amplitudes from first-principle

Xue-Ying Han1,2, Jun Hua3,4, Xiangdong Ji5, Cai-Dian Lü1,2, Wei Wang6,7,*, Ji Xu8,†, Qi-An Zhang9,‡, and Shuai Zhao10

  • *Contact author: wei.wang@sjtu.edu.cn
  • †Contact author: xuji_phy@zzu.edu.cn
  • ‡Contact author: zhangqa@buaa.edu.cn
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Phys. Rev. D 111, L111503 – Published 25 June, 2025

DOI: https://doi.org/10.1103/2t8s-w8t6

Abstract

Light-cone distribution amplitudes (LCDAs) of heavy meson within heavy quark effective theory (HQET) are crucial for predicting physical observables in B decays, but unfortunately there is no first-principle result due to severe challenges. After analyzing these challenges, we propose a realistic method to determine heavy meson LCDA. We utilize equal-time correlations and incorporate a dynamic quark field for a fast moving heavy quark. To verify this method, we make use of lattice QCD simulation on a lattice ensemble with spacing a=0.05187  fm. The preliminary findings for HQET LCDAs qualitatively align with phenomenological models, and the fitted result for the first inverse moment λB−1 is consistent with the experimentally constrained region from B→γℓνℓ. We explore how our findings can reduce model uncertainties in predictions of heavy-to-light form factors at large recoil. These results demonstrate the promise of our method in providing first-principle predictions for heavy meson LCDAs.

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Phys. Rev. D 111, L111503– Published 25 June, 2025
  • Received 28 March 2024
  • Revised 21 November 2024
  • Accepted 10 June 2025
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