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

TL;DR

This paper investigates power corrections to heavy meson LCDAs using a renormalon model, revealing significant corrections that impact precision in phenomenological predictions.

Contribution

It introduces a renormalon-based method to estimate power corrections in heavy meson LCDAs, highlighting the dominant contributions from vertex bubble chain diagrams.

Findings

Power corrections are about 22% for D mesons and 7% for B̄ mesons.

Dominant corrections stem from virtual vertex bubble chain diagrams.

Results emphasize the importance of including power corrections for accurate predictions.

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 $w=n+\frac{1}{2},\forall n\in \mathbb{N}$ 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.