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Multiple Singular Emission in Gauge Theories

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arxiv hep-ph/0212097 v2 pith:INYN34UW submitted 2002-12-06 hep-ph

classification hep-ph
keywords emissionfunctionsingularfunctionsmultipleamplitudesantennacatani--seymour
verification ladder T0 review T1 audit T2 compute T3 formal
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I derive a class of functions unifying all singular limits for the emission of a given number of soft or collinear gluons in tree-level gauge-theory amplitudes. Each function is a generalization of the single-emission antenna function of ref. [1]. The helicity-summed squares of these functions are thus also generalizations to multiple singular emission of the Catani--Seymour dipole factorization function.

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  1. Phase-space sectors for ordered momentum mappings in local subtraction up to N$^3$LO

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A sector decomposition of phase space assigns ordered momentum mappings to antenna functions without partial fractioning, enabling simpler N3LO infrared subtraction.

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