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arXiv 0910.3437hep-ph
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提高轻夸克质量测定的精度

Improving the precision of light quark mass determinations

Christian Sturm

摘要:

我们讨论了正则化不变动量减方案中重整化过程的概念和框架。这些方案被用于晶格模拟的背景下,用于确定像轻夸克质量这样的物理量。重点讨论了夸克质量对称减点的重正化过程,并讨论了它从RI/SCRESS方案到MSbar方案的转换。对称的减法点允许晶格计算具有减少的来自红外效应的污染。对于对称动量位形,次领先阶匹配因子的微扰级数比例外阶匹配因子的微扰级数表现得更好,从而降低了轻夸克质量测定的不确定性。

英文摘要:

We discuss the concepts and the framework of the renormalization procedure in regularization-invariant momentum subtraction schemes. These schemes are used in the context of lattice simulations for the determination of physical quantities like light quark masses. We focus on the renormalization procedure with a symmetric subtraction point of a quark mass and discuss its conversion from the RI/SMOM scheme to the MSbar scheme. A symmetric subtraction point allows for a lattice calculation with a reduced contamination from infrared effects. The perturbative series for the resulting matching factor at next-to-leading order is better behaved for the symmetric momentum configuration than for the exceptional one which can decrease the uncertainty in light quark mass determinations.

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