构造具有明显奇异结构的多圈散射振幅
Constructing multi-loop scattering amplitudes with manifest singularity structure
摘要：
维数正则化的多圈散射振幅的红外指数性质通常隐藏在被积函数的水平上，仅在积分评估后才实现。我们解决这个长期存在的问题，通过引入一个适当的积分基础，同时是有限的和均匀的重量。作为一个例子，我们把QCD修正的被积函数转换成一种形式，在这种形式中，$ε^{-4}$和$ε^{-3}$极点项是由我们的单圈主积分的平方的$ε$展开产生的。
英文摘要：
The infrared exponentiation properties of dimensionally-regularized multi-loop scattering amplitudes are typically hidden at the level of the integrand, materializing only after integral evaluation. We address this long-standing problem by introducing an appropriate integral basis which is simultaneously finite and uniform weight. As an example, we cast the integrand for the QCD corrections to the two-loop massless quark electromagnetic form factor into a form where it is manifest that the $ε^{-4}$ and $ε^{-3}$ pole terms arise from the $ε$ expansion of the square of our one-loop master integral.
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