We present high-accuracy QCD predictions for the transverse-momentum ($q_T$) distribution and fiducial cross sections of Drell–Yan lepton pairs produced in hadronic collisions. At small values of $q_T$ we resum to all perturbative orders the logarithmically enhanced contributions up to next-to-next-to-next-to-leading logarithmic (${\mathrm{N}}^3\mathrm{LL}$) accuracy, including all the next-to-next-to-next-to-leading order (${\mathrm{N}}^3\mathrm{LO}$) [i.e., $\mathcal{O}({\alpha }_S^3)$] terms. Our resummed calculation has been implemented in the public numerical program DYTurbo, which produces fast and precise predictions with the full dependence on the final-state lepton kinematics. We consistently combine our resummed results with the known $\mathcal{O}({\alpha }_S^3)$ fixed-order predictions at large values of $q_T$ thus also obtaining full ${\mathrm{N}}^3\mathrm{LO}$ accuracy for fiducial cross sections. We show numerical results at LHC energies discussing the reduction of the perturbative uncertainty with respect to lower-order calculations.

• Received 22 March 2021
• Revised 11 June 2021
• Accepted 3 December 2021

DOI:https://doi.org/10.1103/PhysRevD.104.L111503

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Published by the American Physical Society