SciPost Submission Page
Constraining the Higgs potential using multi-Higgs production
by Jia-Le Ding, Zach Gillis, Ulrich Haisch, Brian Moser, Hai Tao Li, Davide Pagani, Luca Rottoli, Ambresh Shivaji, Zong-Guo Si, Jian Wang, Philipp Windischhofer, Xiao Zhang, Dan Zhao
Submission summary
| Authors (as registered SciPost users): | Luca Rottoli |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2601.13248v1 (pdf) |
| Date submitted: | Jan. 22, 2026, 9:40 a.m. |
| Submitted by: | Luca Rottoli |
| Submitted to: | SciPost Physics Community Reports |
| for consideration in Collection: |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approach: | Phenomenological |
Abstract
The Higgs self-couplings remain only weakly constrained by current Large Hadron Collider (LHC) measurements, leaving ample room for physics beyond the Standard Model that could modify the structure of the Higgs potential. Multi-Higgs production processes provide a particularly sensitive probe of deviations in both the Higgs trilinear and quartic self-couplings. In this note, we summarize the current status of next-to-leading-order electroweak (EW) corrections to double-Higgs production computed within the Standard Model Effective Field Theory and Higgs Effective Field Theory frameworks, emphasizing how these calculations introduce sensitivity to the Higgs self-couplings beyond what is accessible at leading order. We discuss the key conceptual and technical differences between the two effective field theory approaches, including their treatment of higher-dimensional operators, renormalization procedures, and the structure of EW two-loop amplitudes. Despite these differences, both approaches yield broadly consistent constraints, illustrating the complementarity of double- and triple-Higgs measurements. With the high-luminosity LHC and future high-energy colliders on the horizon, these developments and further advances provide an essential foundation for extracting increasingly precise information on the dynamics of EW symmetry breaking.