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

Abstract

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 ${\alpha }_s$ (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.

arXiv comment57 pages, 4 figures, 3 tables. Antenna functions and their integrals are given in FORM-readable format in the auxiliary materials, with an accompanying README

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