Symmetries and renormalisation in two-Higgs-doublet models

Understand

We discuss the classification of symmetries and the corresponding symmetry groups in the two-Higgs-doublet model (THDM).

• We give an easily useable method how to determine the symmetry class and corresponding symmetry group of a given THDM Higgs potential.
• One of the symmetry classes corresponds to a Higgs potential with several simultaneous generalised CP symmetries.
• Extending the CP symmetry of this class to the Yukawa sector in a straightforward way, the so-called maximally-CP-symmetric model (MCPM) is obtained.