论文标题

使用重型夸克操作员膨胀的初步确定乳头分布幅度的第二梅林力矩

A Preliminary Determination of the Second Mellin Moment of the Pion's Distribution Amplitude Using the Heavy Quark Operator Product Expansion

论文作者

Detmold, William, Grebe, Anthony V., Kanamori, Issaku, Lin, C. -J. David, Mondal, Santanu, Perry, Robert J., Zhao, Yong

论文摘要

我们探索使用重型夸克操作员产品扩展(HOPE)方法来确定乳头锥分布幅度的梅林矩矩的可行性。作为主要研究证明的第一步,我们追求对第二梅林时刻的确定。我们讨论了我们对运动学的选择,这使我们能够成功提取低茶动力的时刻。我们描述了数值模拟,并描述了数据分析,这使我们在淬灭近似中对连续限制的第二个梅林矩进行初步确定为$ \langleξ^2 \ rangle = 0.19(7)$在$ \ bar {\ bar {\ bar {\ text {ms}} $方案中的$ \ bar bar {\ bar bar {\ bar bar aint 2 geev。

We explore the feasibility of determining Mellin moments of the pion's light cone distribution amplitude using the heavy quark operator product expansion (HOPE) method. As the first step of a proof of principle study we pursue a determination of the second Mellin moment. We discuss our choice of kinematics which allows us to successfully extract the moment at low pion momentum. We describe the numerical simulation, and describe the data analysis, which leads us to a preliminary determination of the second Mellin moment in the continuum limit in the quenched approximation as $\langleξ^2\rangle=0.19(7)$ in the $\bar{\text{MS}}$ scheme at 2 GeV.

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