高阶计算的四维正则化：FDU方法
Four-dimensional regularization of higher-order computations: FDU approach
摘要：
我们最近提出了一个新的正则化框架的基础上循环树对偶定理。这个定理允许重写回路水平振幅的树级结构和相空间积分。因此，可以在被积函数级自然地组合实贡献和虚贡献。此外，通过引入适当的动量映射，实现了红外奇异性的完全局部消除，而不需要反项。在这篇文章中，我们简要地解释了这种新的方法来计算一些物理过程的实施，我们展示了如何处理红外和紫外发散，而不使用DREG。
英文摘要：
We have recently proposed a new regularization framework based on the loop-tree duality theorem. This theorem allows to rewrite loop level amplitudes in terms of tree-level structures and phase-space integrations. In consequence, it is possible to combine naturally real and virtual contributions at integrand level. Moreover, through the introduction of a proper momentum-mapping, a complete local cancellation of infrared singularities is achieved, by-passing the necessity of counter-terms. In this article, we briefly explain the implementation of this novel approach to compute some physical processes, and we show how to deal with both infrared and ultraviolet divergences without using DREG.
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