Echoes of Veltman criteria on the next-two-Higgs-doublet model
arxiv(2024)
Abstract
We investigate how the Next-Two-Higgs Doublet Model extension (N2HDM) should
look if we are to address the naturalness problem using dimensional
regularization. In such a model, new Higgs states are predicted, namely: three
CP-even h_1,2,3, one CP-odd A, and a pair of charged Higgs boson H^±.
Our calculations of the overall quadratic divergences have been performed with
full consistency with the latest data from the Large Hadron Collider (LHC)
concerning the observed 125 GeV Higgs boson, alongside precision electroweak
data tests and lower mass limits on charged Higgs boson. It is shown that the
quadratically divergent quantum corrections δ_i (i=1,2,3) for the three
CP-even Higgs bosons are controllably small, though hidden fine-tuning might
still be required. This reveals a significant impact on the model parameter
space, Higgs spectrum mass, and notably the singlet-doublet admixture.
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