A systematic method to construct basis invariants in the Two-Higgs-doublet model and beyond

by Andreas Trautner (Heidelberg)

Thursday 2 May 2019, 14:00 → 15:00 Europe/Berlin

3344 (Physikdepartment)

Basis choices are ubiquitous whenever a model contains particles with congruent quantum numbers. However, the physical predictions of any model must be independent of the basis choice. For many applications it thus seems desirable to use basis invariant techniques. Given a particular model, very common questions are: how many independent basis invariants exist, how are basis invariants related, and how can they be constructed explicitly? I will present a solution to theses questions in a systematic and generalizable approach based on a fruitful symbiosis of group- and invariant-theory. The most general Two-Higgs-Doublet model (2HDM) is used as an example throughout. Here, knowing the complete set of basis invariants and their interrelations allows to derive simple necessary and sufficient conditions for CP conservation.