Orateur
Description
Reconstructing the shape of the Higgs potential realised in Nature is crucial to understand the dynamics of the electroweak phase transition and probe physics beyond the Standard Model (BSM). For this purpose, precise theoretical predictions are needed for trilinear scalar couplings, which control the form of the potential, and for Higgs pair production cross-sections, which are the physical observables that allow accessing the trilinear couplings.
In this talk, I will present the public code framework anyBSM. Its first module, anyH3 allows automated complete one-loop computations of trilinear scalar couplings in arbitrary renormalisable theories, including momentum dependence and a high degree of flexibility in choices of renormalisation schemes. Additionally, I will highlight the new module anyHH which enables calculations of predictions di-Higgs production processes via gluon fusion at the (HL-)LHC, $gg\to h_ih_j$, in models with extended scalar sectors. I will present examples in multiple BSM scenarios, including some with resonant contributions, showing the impact of BSM corrections beyond the leading order. Finally, I will discuss recent works on corrections to trilinear scalar couplings at two loops and beyond, and their relevance for di-Higgs production.