独立因子化标度和重整化标度的后果是什么？
What are the consequences of independent factorization and renormalization scales?
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中文总结 AI 辅助
该研究指出QCD中独立的因子化与重整化标度需相等，适用于广义极点减除方案和共线因子化定理，对唯象计算、参数提取及与格点QCD的联系具有重要意义。
中文摘要 AI 辅助
在QCD因子化定理的唯象应用中，通常会讨论独立的因子化标度和重整化标度。我们发现，在部分子分布的定义中，同时保持重整化群不变性、沃德恒等式和基本求和规则，会迫使这两个标度相等。该结论适用于使用维数正规化的广义极点减除方案，以及深度非弹性散射等基本过程的共线因子化定理。我们讨论其对唯象计算中标度敏感性效应估计、全局QCD分析中标准模型参数与部分子分布的一致提取，以及将唯象提取的部分子分布与格点QCD等第一性原理非微扰技术建立联系的意义。
英文摘要
It is common for separate factorization and renormalization scales to be discussed in connection with phenomenological applications of QCD factorization theorems. We observe that simultaneously preserving renormalization group invariance, Ward identities, and the basic sum rules in the definitions of parton densities forces these scales to be equal. The statement applies to generalized pole subtraction schemes that use dimensional regularization and to collinear factorization theorems for basic processes like deep inelastic scattering. We discuss implications for estimating the effects of scale sensitivity in phenomenological calculations, consistent extractions of Standard Model parameters alongside parton densities in global QCD analyses, and generally connecting phenomenologically extracted parton densities to first principles non-perturbative techniques like lattice QCD.
