Is the real two-Higgs-doublet model consistent?
High Energy Physics - Phenomenology
2024-09-18 v1 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.2409.10603,
title = {Is the real two-Higgs-doublet model consistent?},
author = {Carlos Henrique de Lima and Heather E. Logan},
journal= {arXiv preprint arXiv:2409.10603},
year = {2024}
}
Comments
6 pages, 5 figures, submitted to PRL