论文标题
软性软功能的重新归一化和规模演变
Renormalization and Scale Evolution of the Soft-Quark Soft Function
论文作者
论文摘要
由威尔逊线穿着的软场的矩阵元素定义的软功能是分解定理的中心成分，用于对撞机和夸克物理学的衰减速率。尽管在许多情况下，相关的软函数是根据Gluon运算符定义的，但出现在电源计数中的均值顺序中，出现了包含Quark字段的软函数。我们详细讨论了软夸克软功能的特性，该功能由一个夸克传播器组成，该夸克传播器由两条有限的威尔逊线打扮，并在某个点连接。该函数进入了$ H \toγγ$过程的Higgs-Boson衰减幅度的分解定理中，该过程由光Quark循环介导。我们以一环阶的重新归一化，得出其两环异常尺寸，并讨论其在动量空间，拉普拉斯空间和“对角线空间”中的重新归一化组演化方程的解决方案，其中进化是严格多样化的。
Soft functions defined in terms of matrix elements of soft fields dressed by Wilson lines are central components of factorization theorems for cross sections and decay rates in collider and heavy-quark physics. While in many cases the relevant soft functions are defined in terms of gluon operators, at subleading order in power counting soft functions containing quark fields appear. We present a detailed discussion of the properties of the soft-quark soft function consisting of a quark propagator dressed by two finite-length Wilson lines connecting at one point. This function enters in the factorization theorem for the Higgs-boson decay amplitude of the $h\toγγ$ process mediated by light-quark loops. We perform the renormalization of this soft function at one-loop order, derive its two-loop anomalous dimension and discuss solutions to its renormalization-group evolution equation in momentum space, in Laplace space and in the "diagonal space", where the evolution is strictly multiplicative.
