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构建用于高阶计算的实辐射天线函数的通用算法

A general algorithm to build real-radiation antenna functions for higher-order calculations

Oscar Braun-White, Nigel Glover, Christian T Preuss

AI总结:

本文提出一种由未分辨极限直接构建任意数量实辐射 QCD 天线函数的通用算法,显式得到单、双实发射函数并通过积分匹配独立验证。

摘要:

天线减除方法已成功应用于大型强子对撞机中与次-次领头阶 α_s(NNLO)相关的广泛过程。我们提出一种算法,可直接从指定的未分辨极限列表出发,为来自已识别的一对硬辐射部分子的任意数量实发射构建天线函数。我们使用该算法显式构建了所有单实发射和双实发射 QCD 天线函数,并将其与此前从矩阵元中提取的天线函数进行比较。改进后的天线函数应能更容易地应用于 NNLO 减除项。最后,我们将天线函数在末态-末态未分辨相空间上的积分与此前版本进行匹配,作为对我们结果的独立检验。

英文摘要:

The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in $α_s$ (NNLO). We propose an algorithm for building antenna functions for any number of real emissions from an identified pair of hard radiator partons directly from a specified list of unresolved limits. We use the algorithm to explicitly build all single- and double-real QCD antenna functions and compare them to the previous antenna functions, which were extracted from matrix elements. The improved antenna functions should be more easily applicable to NNLO subtraction terms. Finally, we match the integration of the antenna functions over the final-final unresolved phase space to the previous incarnation, serving as an independent check on our results.

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