dlap方程的质量修正

Ahmad Jamali Hafshejani, A. Mirjalili
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引用次数: 0

摘要

我们提出了一种质量相关的MOM方案,在单环阶上对非极化pdf的UV发散进行重整。该方法基于一次相减色散关系,不需要任何调节器。从环积分中大横动量区域的虚部得到了整体反项。该方案的质量依赖特性产生了DGLAP演化方程的质量依赖分裂函数。风味数在任何重整化尺度上都是固定的,而解耦定理是由依赖质量的分裂函数自动施加的。所要求的对称性也自动地被我们的处方所尊重。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mass corrections to the DGLAP equations
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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