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Threshold resummation for Z-boson pair production at NNLO+NNLL

Pulak Banerjee1,2,*, Chinmoy Dey1,†, M. C. Kumar1,‡, and Vaibhav Pandey1,§

  • *Contact author: pulak.banerjee@lnf.infn.it
  • †Contact author: d.chinmoy@iitg.ac.in
  • ‡Contact author: mckumar@iitg.ac.in
  • §Contact author: vphiitg@iitg.ac.in
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Phys. Rev. D 113, 014012 – Published 13 January, 2026

DOI: https://doi.org/10.1103/2rr7-5xv3

Abstract

The production of a pair of on-shell Z-bosons is an important process at the LHC. Owing to its large production cross section at the LHC, this process is very useful for Standard Model precision studies, electroweak symmetry breaking sector as well as to unravel the possible new physics. In this work, we have performed the threshold resummation of the large logarithms that arise in the partonic threshold limit z→1, up to next-to-next-to-leading logarithmic (NNLL) accuracy. The presence of the two-loop contributions in the process-dependent resummation coefficient g0 makes the numerical computation a nontrivial task. After matching the resummed predictions to the next-to-next-to-leading order (NNLO) fixed-order results, we present the invariant mass distribution to NNLO+NNLL accuracy in QCD for the current LHC energies. We find that in the high invariant mass region (Q=1  TeV), while the NNLO corrections are as large as 83% with respect to the leading order, the NNLL contribution enhances the cross section by additional few percent, about 4% for 13.6 TeV LHC. In this invariant mass region, the conventional scale uncertainties in the fixed-order results get reduced from 3.4% at NNLO to about 2.6% at NNLO+NNLL, and this reduction is expected to be more for higher Q values.

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Phys. Rev. D 113, 014012– Published 13 January, 2026
  • Received 2 April 2025
  • Accepted 15 December 2025
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