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Main Authors: Guo, Tu, Han, Chao, Wang, Wei, Zhang, Jialu
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.08611
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author Guo, Tu
Han, Chao
Wang, Wei
Zhang, Jialu
author_facet Guo, Tu
Han, Chao
Wang, Wei
Zhang, Jialu
contents 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 $w=n+\frac{1}{2},\forall n\in \mathbb{N}$ 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 $\overline{\mathrm{B}}$ meson. These findings showcase the magnitude and the potential importance of power corrections in achieving high-precision phenomenological predictions for heavy mesons.
format Preprint
id arxiv_https___arxiv_org_abs_2505_08611
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Power corrections in the determination of heavy meson LCDAs: A renormalon-based estimation
Guo, Tu
Han, Chao
Wang, Wei
Zhang, Jialu
High Energy Physics - Phenomenology
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 $w=n+\frac{1}{2},\forall n\in \mathbb{N}$ 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 $\overline{\mathrm{B}}$ meson. These findings showcase the magnitude and the potential importance of power corrections in achieving high-precision phenomenological predictions for heavy mesons.
title Power corrections in the determination of heavy meson LCDAs: A renormalon-based estimation
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2505.08611