N$^3$LL resummation of one-jettiness for $Z$-boson plus jet production at hadron colliders

Simone Alioli; Guido Bell; Georgios Billis; Alessandro Broggio; Bahman Dehnadi; Matthew A. Lim; Giulia Marinelli; Riccardo Nagar; Davide Napoletano; Rudi Rahn

arXiv · 2312.06496

N$^3$LL resummation of one-jettiness for $Z$-boson plus jet production at hadron colliders

Simone Alioli·Guido Bell·Georgios Billis·Alessandro Broggio·Bahman Dehnadi·Matthew A. Lim·Giulia Marinelli·Riccardo Nagar·Davide Napoletano·Rudi Rahn

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Abstract

We present the resummation of one-jettiness for the colour-singlet plus jet production process $p p \to ( \gamma^*/Z \to \ell^+ \ell^-) + {\text{jet}}$ at hadron colliders up to the fourth logarithmic order (N$^3$LL). This is the first resummation at this order for processes involving three coloured partons at the Born level. We match our resummation formula to the corresponding fixed-order predictions, extending the validity of our results to regions of the phase space where further hard emissions are present. This result paves the way for the construction of next-to-next-to-leading order simulations for colour-singlet plus jet production matched to parton showers in the GENEVA framework.

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Simone Alioli, Guido Bell, Georgios Billis, Alessandro Broggio, Bahman Dehnadi, Matthew A. Lim, Giulia Marinelli, Riccardo Nagar, Davide Napoletano, Rudi Rahn. 2023-12-11. N$^3$LL resummation of one-jettiness for $Z$-boson plus jet production at hadron colliders. https://arxiv.org/abs/2312.06496

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