# Leaks of CP violation in the real two-Higgs-doublet model

Fontes, Duarte; Löschner, Maximilian 1; Romão, Jorge C.; Silva, João P.
1 Institut für Theoretische Physik (ITP), Karlsruher Institut für Technologie (KIT)

## Abstract:

We discuss the Z$_{2}$ symmetric two-Higgs-doublet model with a real soft-breaking term (real 2HDM). We explain in detail why it is not tenable to assume CP conservation in the scalar sector to keep the dimension two term real, while CP is violated by the dimension four Yukawa couplings. We propose the calculation of the infinite tadpole of the (would-be) pseudoscalar neutral scalar. We construct a simple toy model with the same flaws, where the unrenormalizable infinity is easier to calculate. We then consider the same tadpole in the real 2HDM. We spearhead this effort focusing on diagrams involving solely bare quantities. This involves hundreds of Feynman three-loop diagrams that could feed the CP violation from the quark into the scalar sector, and is only possible with state of the art automatic computation tools. Remarkably, some intermediate results agree when using three independent derivations, including the peculiar cancellation of the leading pole divergence due to a subtle interplay between masses and the Jarlskog invariant, which we calculate analytically. The calculation is not complete however, since the full two-loop renormalization of the real 2HDM is not yet available in the literature. ... mehr

 Zugehörige Institution(en) am KIT Institut für Theoretische Physik (ITP) Publikationstyp Zeitschriftenaufsatz Publikationsjahr 2021 Sprache Englisch Identifikator ISSN: 1434-6044, 1434-6052 KITopen-ID: 1000135996 Erschienen in European Physical Journal C Verlag Springer Verlag Band 81 Heft 6 Seiten Art. Nr.: 541 Vorab online veröffentlicht am 24.06.2021 Nachgewiesen in DimensionsWeb of ScienceScopus
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