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arXiv 2409.00632hep-phhep-lat
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利用重夸克自旋对称性探究重介子光锥分布振幅

Probing heavy meson lightcone distribution amplitudes with heavy quark spin symmetry

Zhi-Fu Deng, Wei Wang, Yan-Bing Wei, Jun Zeng

AI总结:

本研究利用重夸克自旋对称性建立重赝标量与矢量介子 LCDAs 的简并关系,并推导单圈匹配系数,从而通过格点准 DAs 精确确定 HQET 重介子 LCDAs 并评估幂次修正。

摘要:

在先前工作(Han:2024min)的基础上,我们阐明,在重夸克有效理论(HQET)中定义的领头扭度光锥分布振幅(LCDAs)可以通过对具有大动量分量 $P^z$ 的准分布振幅(quasi-DAs)进行格点模拟来确定。利用重夸克自旋对称性,我们证明 HQET 框架下重赝标量介子和矢量介子的 LCDAs 具有简并性,而这种简并使得在格点上同时利用赝标量和矢量介子的准 DAs 成为可能。随后,我们在单圈阶推导了用 QCD 场定义的 LCDAs 与 HQET LCDAs 之间进行匹配所需的相关短距离系数。纳入这三种准 DAs 不仅能够验证文献(Han:2024min)中提出的方法,还能为幂次修正提供可能的洞见。相应结果之间的差异为估计该体系内的幂次修正提供了有价值的视角;这些修正对于未来精确研究重介子 LCDAs 至关重要,尤其是在格点 QCD 背景下。

英文摘要:

Building on a previous work~\cite{Han:2024min}, we illustrate that the leading-twist light-cone distribution amplitudes (LCDAs) defined in heavy-quark effective theory (HQET) can be determined through lattice simulations of quasi-distribution amplitudes (quasi-DAs) with a large momentum component $P^z$. Exploiting heavy-quark spin symmetry, we show that the LCDAs for a heavy pseudoscalar and vector meson in the context of HQET exhibit degeneracy, and the degeneracy allows for the utilization of quasi DAs for both pseudoscalar and vector mesons on the lattice. We then derive the relevant short-distance coefficients for the matching between LCDAs defined with QCD fields and HQET LCDAs at the one-loop level. The incorporation of these three quasi DAs can not only confirm the methodology introduced in Ref.~\cite{Han:2024min} but also provides possible insight into power corrections. Discrepancies between the corresponding results offer a valuable perspective for estimating power corrections within the system which are imperative for precise investigations into heavy-meson LCDAs in the future particularly in the context of lattice QCD.

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