Renormalization of the C2HDM with FeynMaster 2

Abstract

We present the one-loop electroweak renormalization of the CP-violating 2-Higgs-Doublet Model with softly broken ${\mathbb{Z}}_2$ symmetry (C2HDM). The existence of CP violation in the scalar sector of the model leads to a quite unique process of renormalization, since it requires the introduction of several non-physical parameters. The C2HDM will thus have more independent counterterms than independent renormalized parameters. As a consequence, different combinations of counterterms can be taken as independent for the same set of independent renormalized parameters. We compare the behaviour of selected combinations in specific NLO processes, which are assured to be gauge independent via a simple prescription. FeynMaster 2 is used to derive the Feynman rules, counterterms and one-loop processes in a simultaneously automatic and flexible way. This illustrates its use as an ideal tool to renormalize models such as the C2HDM and investigate them at NLO.

One equation and one figure were slightly modified. Text and conclusions were not modified

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• Combining Evolutionary Strategies and Novelty Detection to go Beyond the Alignment Limit of the $Z_3$ 3HDM
• The one-loop impact of a dependent mass: the role of $m_3$ in the C2HDM
• The $Zb\bar{b}$ vertex in a left-right model