HHH Whitepaper
Vuko Brigljevic, Dinko Ferencek, Greg Landsberg, Tania Robens, Marko, Stamenkovic, Tatjana Susa (eds.), Hamza Abouabid, Abdesslam Arhrib, Hannah, Arnold, Duarte Azevedo, Maggie Chen, Daniel Diaz, Javier Duarte, Tristan du, Pree, Jaouad El Falaki, Pedro. M. Ferreira

TL;DR
This paper reports on progress in measuring multi-scalar final states, especially triple scalar couplings, to test the Standard Model's Higgs potential, combining experimental and theoretical advances.
Contribution
It presents new experimental and theoretical efforts to determine the full Higgs potential by measuring multi-scalar interactions, focusing on three SM-like scalars at 125 GeV.
Findings
Progress in measuring triple and quartic scalar couplings
Experimental challenges in multi-scalar final state detection
Theoretical models enhancing scalar interaction rates
Abstract
We here report on the progress of the HHH Workshop, that took place in Dubrovnik in July 2023. After the discovery of a particle that complies with the properties of the Higgs boson of the Standard Model, all Standard Model (SM) parameters are in principle determined. However, in order to verify or falsify the model, the full form of the potential has to be determined. This includes the measurement of the triple and quartic scalar couplings. We here report on ongoing progress of measurements for multi-scalar final states, with an emphasis on three SM-like scalar bosons at 125 GeV, but also mentioning other options. We discuss both experimental progress and challenges as well as theoretical studies and models that can enhance such rates with respect to the SM predictions
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