QCD evolution at one percent precision

百分之一精度的 QCD 演化

• 批准号: 430915138
• 负责人: Professor Dr. Vladimir Braun
• 金额: --
• 依托单位: Institut für Theoretische Physik
• 依托单位国家: 德国
• 项目类别: Research Units
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/430915138?language=en
• 关键词: QCD; evolution; percent; precision

This project aims at elevating the precision of the perturbative input in the QCD calculations of benchmark “hard” processes by one quantum loop to ensure that the theoretical predictions match the accuracy expected from the experimental facilities of the next generation. This includes the computation of the two-loop coefficientfunctions for generic two-photon processes, QCD splitting functions and evolution kernels up to four loops and three loops for the forward and non-forward (generalized) parton distributions, respectively, and four-loop fragmentation functions. In addition, the matching relations to lattice renormalization schemes will be provided with similar precision. The project will make extensive use of dedicated large-scale computer algebra programs for the necessary analytic computations and also of novel techniques based on conformal symmetry, which in many cases allow one to reduce the amount of loops to be computed by one using group theory methods.

该项目旨在通过一个量子循环来提高基准“硬”过程的QCD计算中微扰输入的精度，以确保理论预测与下一代实验设施预期的准确性相匹配。这包括计算一般双光子过程的双圈coefficientfunctions，QCD分裂函数和演化内核的四个循环和三个循环的前向和非前向（广义）部分子分布，分别和四圈碎裂函数。此外，晶格重整化方案的匹配关系将提供类似的精度。该项目将广泛使用专用的大型计算机代数程序进行必要的分析计算，并使用基于共形对称的新技术，在许多情况下，这可以减少使用群论方法计算的循环数量。