论文标题

对DGLAP方程的质量校正

Mass corrections to the DGLAP equations

论文作者

Hafshejani, Ahmad Jamali, Mirjalili, Abolfazl

论文摘要

我们提出了一种质量依赖的MOM方案,以一环PDF的紫外线差异使紫外线差异差异。这种基于曾经减去分散关系的方法不需要任何调节器。总体对抗是从循环积分中大型横向动量区域的假想部分获得的。该方案的质量依赖性特征可为DGLAP演化方程提供质量依赖性的分裂函数。尽管风味数是在任何重新归一化量表上固定的,但解耦定理是由质量依赖性分裂函数自动施加的。我们的处方也会自动尊重所需的对称性。

We propose a mass-dependent MOM scheme to renormalize UV divergence of unpolarized PDFs at one-loop order. This approach which is based on a once subtracted dispersion relation does not need any regulator. The overall counterterms are obtained from the imaginary part of large transverse momentum region in loop integrals. The mass-dependent characteristic of the scheme yields to mass-dependent splitting functions for the DGLAP evolution equations. While the flavor number is fixed at any renormalization scale, the decoupling theorem is automatically imposed by the mass-dependent splitting functions. The required symmetries are also automatically respected by our prescription.

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