Is the Real Two-Higgs-Doublet Model Consistent?

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Abstract
We provide strong evidence that the widely studied real two-Higgs-doublet model is inconsistent under renormalization due to quark-induced divergent C P violation ( C P V ). We identify the necessary ingredients for the C P V to enter the renormalization-group equations based on symmetry proprieties of the divergent diagrams. We demonstrate that while these ingredients are present starting at six loops, the divergent C P V is zero at that order due to approximate symmetries. We show that these symmetries are broken at seven loops and determine the parameter dependence of the resulting divergent C P V . Published by the American Physical Society 2024
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  • Natural Sciences and Engineering Research Council of Canada
  • TRIUMF
  • National Research Council Canada

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