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Power corrections in the determination of heavy meson light-cone distribution amplitudes: A renormalon-based estimation

Tu Guo1, Chao Han1,*, Wei Wang1,†, and Jia-Lu Zhang2,1,‡

  • *Contact author: chaohan@sjtu.edu.cn
  • †Contact author: wei.wang@sjtu.edu.cn
  • ‡Contact author: elpsycongr00@sjtu.edu.cn
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Phys. Rev. D 112, 016013 – Published 8 July, 2025

DOI: https://doi.org/10.1103/c97x-z7j9

Abstract

At leading power accuracy, the QCD light-cone distribution amplitudes (LCDAs) for a heavy meson can be matched onto the LCDAs in the framework of heavy-quark effective theory (HQET) through a factorization formula. We examine the power corrections to this factorization in the renormalon model, which can associate the power corrections originating from high-twist contributions to the divergent series in a matching kernel. Our analysis indicates that the dominant power corrections originate from the virtual part of the vertex bubble chain diagrams, which generate poles at w=n+12,  ∀n∈N and w=1 in the Borel plane. Employing phenomenological models for both HQET and QCD LCDA, we present a numerical estimate. The results indicate that the power corrections in the peak region are approximately 22% for the D meson and 7% for the B¯ meson. These findings showcase the magnitude and potential importance of power corrections in achieving high-precision phenomenological predictions for heavy mesons.

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Phys. Rev. D 112, 016013– Published 8 July, 2025
  • Received 22 May 2025
  • Accepted 13 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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