We calculate the corrections to the Higgs wave-function renormalization constant arising from modified cubic, quartic, and quintic Higgs self-couplings up to the two-loop level. Using our analytic results, we derive two-dimensional constraints on the modifications of the considered Higgs self-interactions that could potentially be set from precision measurements of single-Higgs production processes at the high-luminosity Large Hadron Collider (LHC) and a Future Circular Collider. Our novel constraints are compared to those that might be set by searches for multi-Higgs production at the same facilities. In view of the first LHC results on triple-Higgs production, we also review the current status of Higgs self-coupling determinations after LHC Run 2.
@article{arxiv.2505.20463,
title = {A new probe of the quartic Higgs self-coupling},
author = {Ulrich Haisch and Aparna Sankar and Giulia Zanderighi},
journal= {arXiv preprint arXiv:2505.20463},
year = {2025}
}