Relations between Heavy-light Meson and Quark Masses
Relations between Heavy-light Meson and Quark Masses
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DOI：
10.1103/physrevd.97.034503
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发表时间：
2017-12
影响因子：
5
通讯作者：
N. Brambilla;J. Komijani;A. Kronfeld;A. Vairo
中科院分区：
文献类型：
--
作者：
N. Brambilla;J. Komijani;A. Kronfeld;A. Vairo
对重轻介子质量的研究将为确定重正化夸克质量和重轻介子的其他性质提供一条途径。例如，在格点QCD的背景下，可以计算任意夸克质量值的强子量。在本文中，我们解决两个方面的关系，夸克质量的重轻介子的质量。首先，我们介绍了一个定义的重整化夸克质量，是免费的标度依赖和重整化的歧义，并讨论其关系到更熟悉的夸克质量的定义。然后，我们展示了这个定义如何进入合并的重夸克有效理论和手征微扰理论（$\chi $PT）的描述的重轻质量。对于这种合并的实际实现，我们扩展了一个循环的$\chi $PT修正格点规范理论与重轻介子组成的交错费米子的夸克。综合起来，我们得到了一个用夸克质量描述所有交错重轻介子质量的实用公式，以及一些与交错费米子有关的晶格伪像。在另一篇文章中，我们用这个函数分析了格点QCD数据，提取了夸克质量和一些重夸克有效理论中定义的矩阵元。
The study of heavy-light meson masses should provide a way to determine renormalized quark masses and other properties of heavy-light mesons. In the context of lattice QCD, for example, it is possible to calculate hadronic quantities for arbitrary values of the quark masses. In this paper, we address two aspects relating heavy-light meson masses to the quark masses. First, we introduce a definition of the renormalized quark mass that is free of both scale dependence and renormalon ambiguities, and discuss its relation to more familiar definitions of the quark mass. We then show how this definition enters a merger of the descriptions of heavy-light masses in heavy-quark effective theory and in chiral perturbation theory ($\chi$PT). For practical implementations of this merger, we extend the one-loop $\chi$PT corrections to lattice gauge theory with heavy-light mesons composed of staggered fermions for both quarks. Putting everything together, we obtain a practical formula to describe all-staggered heavy-light meson masses in terms of quark masses as well as some lattice artifacts related to staggered fermions. In a companion paper, we use this function to analyze lattice-QCD data and extract quark masses and some matrix elements defined in heavy-quark effective theory.