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Is the real two-Higgs-doublet model consistent?

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arxiv 2409.10603 v1 pith:IUCKSTLM submitted 2024-09-16 hep-ph hep-th

Carlos Henrique de Lima , Heather E. Logan This is my paper · ORCID
classification hep-phhep-th
keywords divergentingredientsloopsmodelrealsymmetriestwo-higgs-doubletapproximate
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We provide strong evidence that the widely-studied real two-Higgs-doublet model is inconsistent under renormalization due to quark-induced divergent CP violation (CPV). We identify the necessary ingredients for the CPV 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 CPV 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 CPV.

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Cited by 1 Pith paper

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  1. On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Six-loop renormalization-group equations for the 22 basis invariants of the 2HDM scalar potential are derived with invariant theory and Groebner bases, including the 63 minimal syzygies.

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