The precise study of the Higgs boson properties -- in particular its mass and couplings -- is of paramount importance for the study of BSM models with enlarged Higgs sectors.
In particular, when investigating the high-scale behaviour of these models, the scalar quartic couplings must be extracted from the physical spectrum. I will show that it is then crucial to include all known higher-order corrections to this matching, and that the common habit of combining an N-1 loop matching together with N-loop RGE running often proves insufficient.
Moreover, there is also a growing interest for Effective Field Theories as they provide a framework to study the effects of heavy New Physics. In this context, I will present recent work on the matching of the scalar quartic couplings between general renormalisable theories, focusing especially on how to address the mixing among states and how a possible loss of accuracy due to large logarithmic contributions can be avoided.
|Parallel Session||Electroweak, Top and Higgs Physics|