The 15th Higgs Hunting workshop, held from July 15-17 at IJCLab in Orsay and LPNHE in Paris, brought together approximately 100 participants for an in-depth review of recent LHC Run 2 and 3 Higgs-boson results, alongside cutting-edge theoretical developments. One of the key highlights was the CMS collaboration's presentation on the Higgs boson's coupling to the charm quark, utilizing Higgs production in association with a top-antitop pair. This analysis, focusing on Higgs decays into charm-quark pairs, achieved a sensitivity comparable to the most stringent existing direct constraints on this elusive interaction. Additionally, new ATLAS analyses demonstrated the substantial impact of the extensive Run 3 dataset, suggesting significant potential for Higgs physics in the years ahead. For instance, Run 3 data has reduced uncertainties on the coupling of the Higgs boson to muons and Zγ by 30% and 38%, respectively. On the di-Higgs front, the expected upper limit on the signal-strength modifier, measured in the bbγγ final state, has now surpassed the sensitivity of the combined Run 2 HH channels, marking a significant step towards understanding the Higgs self-coupling. The sensitivity to di-Higgs production is anticipated to improve dramatically during Run 3, raising hopes of detecting a signal before the upcoming long shutdown, scheduled from mid-2026 to the end of 2029. Juan Rojo from the Vrije Universiteit Amsterdam discussed parton distribution functions for Higgs processes at the LHC, while Thomas Gehrmann from the University of Zurich reviewed recent advancements in general Higgs theory. Mathieu Pellen from the University of Freiburg provided an overview of vector-boson fusion, Jose Santiago Perez from the University of Granada summarized the effective field theory framework, and Oleksii Matsedonskyi from the University of Cambridge reviewed progress on electroweak phase transitions. Alfredo Urbano from INFN Rome delivered a 'vision' talk, exploring the intricate relationship between Higgs physics and early-universe cosmology. Benjamin Fuks from LPTHE, Sorbonne University, presented a toponium model, reigniting interest in the enigmatic romance of top-quark pairs. After a cruise on the Seine illuminated by the Olympic Cauldron, participants transitioned into the future during the European Strategy for Particle Physics session. Karl Jakobs from the University of Freiburg, along with various session speakers, set the stage for spirited discussions on the community's options, particularly the scenarios to pursue if the FCC program, the clear plan A, is not realized. The next Higgs Hunting workshop will take place in Orsay and Paris from September 16-18, 2026.
