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arXiv · 2412.14242

Matching Z $\to$ Hadrons at NNLO with Sector Showers

Basem Kamal El-Menoufi·Christian T. Preuss·Ludovic Scyboz·Peter Skands
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Abstract

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.

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Basem Kamal El-Menoufi, Christian T. Preuss, Ludovic Scyboz, Peter Skands. 2024-12-18. Matching Z $\to$ Hadrons at NNLO with Sector Showers. https://arxiv.org/abs/2412.14242

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