We present a detailed technical derivation of matching conditions at next-to-next-to-leading order in the sectorised VINCIA parton shower, by considering leading-colour 2-, 3- and 4-jet rates in hadronic Z-boson decays. In particular, we introduce a full subtraction-based calculation of the matching coefficient required to obtain the NLO 3-jet rate. This is achieved through a judicious choice of the counter-terms, which optimises the numerical evaluation of the subtracted double-real matrix element. We additionally give a consistent prescription for incorporating interference effects due to higher-order mixing between Born states with different flavour contents. Finally, we briefly comment on higher-order uncertainty estimates.
@article{arxiv.2412.14242,
title = {Matching Z $\to$ Hadrons at NNLO with Sector Showers},
author = {Basem Kamal El-Menoufi and Christian T. Preuss and Ludovic Scyboz and Peter Skands},
journal= {arXiv preprint arXiv:2412.14242},
year = {2025}
}
Comments
34 pages, 7 figures, 5 appendices; v2: matches the published version