English

Power corrections in the determination of heavy meson LCDAs: A renormalon-based estimation

High Energy Physics - Phenomenology 2025-06-25 v3

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,nNw=n+\frac{1}{2},\forall n\in \mathbb{N} and w=1w=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%22\% for the D meson and 7%7\% for the B\overline{\mathrm{B}} meson. These findings showcase the magnitude and the potential importance of power corrections in achieving high-precision phenomenological predictions for heavy mesons.

Keywords

Cite

@article{arxiv.2505.08611,
  title  = {Power corrections in the determination of heavy meson LCDAs: A renormalon-based estimation},
  author = {Tu Guo and Chao Han and Wei Wang and Jialu Zhang},
  journal= {arXiv preprint arXiv:2505.08611},
  year   = {2025}
}

Comments

13 pages, 7 figures