Constraining the Higgs potential using multi-Higgs production

Fuente: arXiv
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Main Authors: Ding, Jia-Le, Gillis, Zach, Haisch, Ulrich, Moser, Brian, Li, Hai Tao, Pagani, Davide, Rottoli, Luca, Shivaji, Ambresh, Si, Zong-Guo, Wang, Jian, Windischhofer, Philipp, Zhang, Xiao, Zhao, Dan
Format: Preprint
Published: 2026
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author Ding, Jia-Le
Gillis, Zach
Haisch, Ulrich
Moser, Brian
Li, Hai Tao
Pagani, Davide
Rottoli, Luca
Shivaji, Ambresh
Si, Zong-Guo
Wang, Jian
Windischhofer, Philipp
Zhang, Xiao
Zhao, Dan
author_facet Ding, Jia-Le
Gillis, Zach
Haisch, Ulrich
Moser, Brian
Li, Hai Tao
Pagani, Davide
Rottoli, Luca
Shivaji, Ambresh
Si, Zong-Guo
Wang, Jian
Windischhofer, Philipp
Zhang, Xiao
Zhao, Dan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_13248
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Constraining the Higgs potential using multi-Higgs production
Ding, Jia-Le
Gillis, Zach
Haisch, Ulrich
Moser, Brian
Li, Hai Tao
Pagani, Davide
Rottoli, Luca
Shivaji, Ambresh
Si, Zong-Guo
Wang, Jian
Windischhofer, Philipp
Zhang, Xiao
Zhao, Dan
High Energy Physics - Phenomenology
High Energy Physics - Experiment
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.
title Constraining the Higgs potential using multi-Higgs production
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2601.13248