AI 中文总结
本文在有效场论中推导了两圈反常维度，用于次领头非全局及聚类对数的重求和，提出修正偶极子减除方案以避免额外维度问题，并在Marzili框架中验证了喷流间隙截面的方案无关性。
AI 中文摘要
我们在有效场论框架下推导了与次领头非全局对数重求和相关的两圈反常维度，并首次将其推广至聚类对数。我们特别强调了重整化方案的选择。研究表明，修正的最小减除方案存在问题，因为它需要额外的维度来设置部分子簇射以执行重求和。我们讨论了一组修正的偶极子减除方案，这些方案避免了这一复杂性，并可用于获得与参考系无关的重整化群演化结果。我们将结果的领头色极限应用于Marzili框架，并数值验证了喷流间隙截面在方案选择上的独立性。
英文摘要
We derive the two-loop anomalous dimension relevant for the resummation of subleading non-global and, for the first time, also clustering logarithms within the framework of effective field theory. Special emphasis is put on the choice of the renormalization scheme. We show that the modified minimal subtraction scheme is problematic since it requires extra dimensions to set up the parton shower to perform the resummation. We discuss a set of modified dipole subtraction schemes which are free from this complication and can be used to obtain a frame-independent result for the renormalization-group evolution. We implement the leading-color limit of our result in the Marzili framework and numerically verify the scheme independence for gap-between-jets cross sections.
Comments68 pages, 5 figures
