We compute the total cross section for $t\overline{t}t\overline{t}$ production at next-to-leading logarithmic (${\mathrm{NLL}}^{\prime }$) accuracy. This is the first time resummation is performed for a hadron-collider process with four colored particles in the final state. The calculation is matched to the next-to-leading order strong and electroweak corrections. The ${\mathrm{NLL}}^{\prime }$ corrections enhance the total production rate by 15%. The size of the theoretical error due to scale variation is reduced by more than a factor of 2, bringing the theoretical error significantly below the current experimental uncertainty of the measurement.

• Received 7 January 2023
• Revised 4 October 2023
• Accepted 12 October 2023

DOI:https://doi.org/10.1103/PhysRevLett.131.211901

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Published by the American Physical Society