Multiparton evolution equations in QCD

在本项目的第一部分中，我们开发了一种新的代数方法来研究QCD中高扭转部分子分布的尺度依赖性。它基于最大限度地使用共形对称，并允许人们绕过费曼图的计算。构造了扭转-四算子重整化群核的完备集，扭转-四算子作为演化方程的“构件”。建议的延续集中在该技术在与现象学相关的几个问题上的应用：例如单自旋不对称，高扭转和重夸克对深度非弹性散射（DIS）总横截面的贡献，以及排他反应中的目标质量修正，特别是涉及广义部分子分布的反应。

In the first part of this project we have developed a novel alrebraic approach to the study of the scale dependence of higher-twist parton distributions in QCD. It is based on maximal use of the conformal symmetry and allows one to bypass calculation of Feynman diagrams. The complete set of renormalization group kernels is constructed for twist-four operators, which serve as "building blocks" in the evolution equations. The proposed continuation is concentrated on applications of this technique to several problems that are relevant for phenomenology: e.g. single-spin asymmetries, higher-twist and heavy-quark contributions to the total cross section of deep inelastic scattering (DIS), and target mass corrections in exclusive reactions, in particular those involving generalized parton distributions.