We present precise results for invariant mass distributions and inclusive cross-sections, of associated ZH production through gluon fusion in QCD. We include threshold logarithms at next-to-leading-logarithmic (NLL) accuracy and match the results to full next-to-leading-order (NLO) results with exact top-quark mass dependence in the virtual amplitudes. At 13.6 TeV energy at LHC, the NLO+NLL cross-section increases the NLO counterpart by about 20%. For differential distributions, at 3000 GeV, the uncertainties arising out of the unphysical renormalization and factorization scales is about 20% for NLO; whereas for the resummed results it is around 12%. We also combine these results to the Drell-Yan type results at N3LL and present the most precise results in hadron collisions.
@article{arxiv.2605.24131,
title = {Associated $ZH$ production in gluon fusion process at NLO+NLL},
author = {Pulak Banerjee and Chinmoy Dey and Niraj Koirala and M. C. Kumar and Vaibhav Pandey},
journal= {arXiv preprint arXiv:2605.24131},
year = {2026}
}