AI 中文总结
研究QCD中Λ_Q重子领先扭转光锥分布振幅的重夸克质量依赖性，从因子分解公式导出方程并求解，纳入重整化子修正，通过数值分析评估不确定性，为晶格QCD计算外推提供工具。
AI 中文摘要
我们研究了QCD中Λ_Q重子的领先扭转光锥分布振幅（LCDA）的重夸克质量依赖性。从将QCD LCDA与推进重夸克有效理论（bHQET）LCDA联系起来的因子分解公式出发，我们在峰值区域导出了一个控制这种质量依赖性的一阶偏微分方程。该方程通过解析求解，并给出了连接不同重夸克质量下LCDA的显式因子。我们进一步将来自重整化子模型的Borel重整化微扰修正纳入因子分解。研究了这些重整化子修正对质量依赖性的影响，并使用简单的LCDA模型进行了数值分析，以说明其行为并评估修正带来的不确定性，从而对质量依赖性的相关幂次修正提供数值估计。我们的结果为将重子LCDA的晶格QCD计算从较小的模拟质量外推到物理底夸克质量提供了重要工具。
英文摘要
We study the heavy quark mass dependence of the leading-twist light-cone distribution amplitude (LCDA) of the $Λ_Q$ baryon in QCD. Starting from the factorization formula that relates the QCD LCDA to the boosted heavy-quark effective theory (bHQET) LCDA, we derive a first-order partial differential equation governing this mass dependence in the peak region. The equation is solved analytically, and the explicit factor connecting LCDAs at different heavy quark masses is presented. We further incorporate Borel-resummed perturbative corrections from a renormalon model into the factorization. The impact of these renormalon corrections on the mass dependence is studied, and a numerical analysis using a simple LCDA model is performed to illustrate the behavior and to assess the uncertainties arising from the corrections, thereby providing a numerical estimate of the associated power corrections to the mass dependence. Our results provide an essential tool for extrapolating lattice QCD calculations of heavy-baryon LCDAs from smaller simulated masses to the physical bottom quark mass.
Comments8 pages, 2 figures
