部分子簇射中虚虚贡献的指数化
Exponentiating virtual imaginary contributions in a parton shower
摘要：
部分子簇射算法中表示虚拟费曼图的虚部的算子具有非平凡的颜色结构，并且很大，因为它与因子$4π$成比例。为了改善对部分子簇射中颜色的处理，对相位算符取幂可能会有所帮助。我们表明，这是可能的，这样做的幂矩阵不大于$14\times14$。以两个高横向动量喷流之间的快度间隔出现间隙的概率为例，通过与微扰处理相算符的结果进行比较，对该指数化算法进行了检验。我们发现，指数的作品，但指数相位算子的净效应是相当小的这个问题，所以人们可以使用微扰的方法。
英文摘要：
The operator in a parton shower algorithm that represents the imaginary part of virtual Feynman graphs has a non-trivial color structure and is large because it is proportional to a factor of $4π$. In order to improve the treatment of color in a parton shower, it may help to exponentiate this phase operator. We show that it is possible to do so by exponentiating matrices that are no larger than $14\times14$. Using the example of the probability to have a gap in the rapidity interval between two high transverse momentum jets, we test this exponentiation algorithm by comparing to the result of treating the phase operator perturbatively. We find that the exponentiation works, but that the net effect of the exponentiated phase operator is quite small for this problem, so that one can as well use the perturbative approach.
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