The Zγ transverse-momentum spectrum at NNLO+N3LL

Wiesemann, Marius; Rottoli, Luca; Torrielli, Paolo

doi:10.1016/j.physletb.2020.135718

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The Zγ transverse-momentum spectrum at NNLO+N3LL

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Wiesemann, Marius
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Rottoli, Luca
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Torrielli, Paolo
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Citation

Wiesemann, M., Rottoli, L., & Torrielli, P. (2020). The Zγ transverse-momentum spectrum at NNLO+N3LL. Physics Letters B, 809, 135718. doi:10.1016/j.physletb.2020.135718.

Cite as: https://hdl.handle.net/21.11116/0000-0008-1B1F-9

Abstract

We consider the transverse-momentum ($p_T$) distribution of $Z\gamma$ pairs produced in hadronic collisions. Logarithmically enhanced contributions at small $p_T$ are resummed to all orders in QCD perturbation theory and combined with the fixed-order prediction. We achieve the most advanced prediction for the $Z\gamma$ $p_T$ spectrum by matching next-to-next-to-next-to-leading logarithmic (N$^3$LL) resummation to the integrated cross section at next-to-next-to-leading order (NNLO). By considering $\ell^+\ell^-\gamma$ production at the fully differential level, including spin correlations, interferences and off-shell effects, arbitrary cuts can be applied to the leptons and the photon. We present results at the LHC in presence of fiducial cuts and find agreement with the $13$\,TeV ATLAS data at the few-percent level.