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arXiv · 2512.07025

Massive tree-level splitting functions beyond kinematical limits

Stefan Höche·Matt LeBlanc·Jennifer Roloff·Grant Whitman
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Abstract

We present a compact form of the massive $1\to 3$ tree-level QCD splitting functions and discuss a decomposition of the results in terms of lower-order expressions, scalar dipole antenna functions and pure higher-order remainders. The two-gluon radiator functions introduced in this context are novel and generalize expressions obtained from the double-soft approximation. Our results are obtained without reference to soft or quasi-collinear limits.

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Stefan Höche, Matt LeBlanc, Jennifer Roloff, Grant Whitman. 2025-12-07. Massive tree-level splitting functions beyond kinematical limits. https://arxiv.org/abs/2512.07025

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