The Hierarchy Problem splits into Intrinsic (RG-induced cutoff sensitivity) and Extrinsic (UV augmentation making IR theory appear finetuned) versions, with the latter formalized as a paradox whose solutions are classified by premise violations.
$\nu$DFSZ: a technically natural non-supersymmetric model of neutrino masses, baryogenesis, the strong CP problem, and dark matter
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abstract
We describe a minimal extension of the standard model by three right-handed neutrinos, a scalar doublet, and a scalar singlet (the "$\nu$DFSZ") which serves as an existence proof that weakly coupled high-scale physics can naturally explain phenomenological shortcomings of the SM. The $\nu$DFSZ can explain neutrino masses, baryogenesis, the strong CP problem, and dark matter, and remains calculably natural despite a hierarchy of scales up to $\sim 10^{11}$ GeV. It predicts a SM-like Higgs boson, (maximally) TeV-scale scalar states, intermediate-scale hierarchical leptogenesis ($10^5\text{ GeV}\lesssim M_{N}\lesssim 10^7\text{ GeV}$), and axionic dark matter.
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Exotic decays A/H to Z h_S or Z A_S exclude large regions of the type-II 2HDM+S parameter space for moderate tan beta values where conventional 2HDM channels are weak.
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The Intrinsic and Extrinsic Hierarchy Problems
The Hierarchy Problem splits into Intrinsic (RG-induced cutoff sensitivity) and Extrinsic (UV augmentation making IR theory appear finetuned) versions, with the latter formalized as a paradox whose solutions are classified by premise violations.
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The neutral scalars of type-II 2HDM+S under the LHC
Exotic decays A/H to Z h_S or Z A_S exclude large regions of the type-II 2HDM+S parameter space for moderate tan beta values where conventional 2HDM channels are weak.