Natural Two-Higgs-Doublet Model

Bohdan Grzadkowski; Per Osland

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Natural Two-Higgs-Doublet Model

Bohdan Grzadkowski, Per Osland

High Energy Physics - Phenomenology · Submitted 3 Dec 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that the Two-Higgs-Doublet Model (2HDM) constrained by the two-loop-order requirement of cancellation of quadratic divergences is consistent with the existing experimental constraints.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,617 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.34 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.89 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We show that the Two-Higgs-Doublet Model (2HDM) constrained by the two-loop-order requirement of cancellation of quadratic divergences is consistent with the existing experimental constraints. The model allows to ameliorate the little hierarchy problem by suppressing the quadratic corrections to scalar masses and lifting the mass of the lightest Higgs boson. A strong source of CP violation emerges from the scalar potential. The cutoff originating from the naturality arguments is shifted from 0.6 TeV in the Standard Model to >6 TeV in the 2HDM, depending on the mass of the lightest scalar.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We show that the Two-Higgs-Doublet Model (2HDM) constrained by the two-loop-order requirement of cancellation of quadratic divergences is consistent with the existing experimental constraints.	result 0.81	0.92	0.75	asserted 0.91
s1	The model allows to ameliorate the little hierarchy problem by suppressing the quadratic corrections to scalar masses and lifting the mass of the lightest Higgs boson.	interpretation 0.58	0.74	0.18	asserted 0.68
s2	A strong source of CP violation emerges from the scalar potential.	result 1.00	0.75	0.08	asserted 1.00
s3	The cutoff originating from the naturality arguments is shifted from 0.6 TeV in the Standard Model to >6 TeV in the 2HDM, depending on the mass of the lightest scalar.	result 0.98	0.81	0.27	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.82.

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arXiv listing abstract v2

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full text
figures and tables
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P abstract

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C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We show that the Two-Higgs-Doublet Model (2HDM) constrained by the two-loop-order requirement of cancellation of quadratic divergences is consistent with the existing experimental constraints. The model allows to ameliorate the little hierarchy problem by suppressing the quadratic corrections to scalar masses and lifting the mass of the lightest Higgs boson. A strong source of CP violation emerges from the scalar potential. The cutoff originating from the naturality arguments is shifted from 0.6 TeV in the Standard Model to >6 TeV in the 2HDM, depending on the mass of the lightest scalar.

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References

How the literature uses it

4 arXiv papers cite this in 5 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 1 sentence without a confident label

Compares with it 1 paper

Similarly, the Veltman conditions in $2HDM$ [ref] are reproduced when the couplings that fingerprint the scalar triplet in the Lagrangian, namely $λ_6$, $λ_7$, $λ_8$, $λ_9$, $λ̅_8$, $λ̅_9$, are removed from Eqs. ([ref], [ref], [ref]).

The two Higgs doublet type-II seesaw model: Naturalness and $\bar{B}\to X_s\gamma$ versus heavy Higgs masses · THE MODIFIED VELTMAN CONDITIONS · 0.80

Cites it as background 3 papers

They have been analyzed at one-loop level [ref] and even leading two-loop contributions have been taken into account in type II [ref] .

Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft $Z_2$ breaking · Introduction · 0.81
The reader can find similar discussions in [ref] .

Implication of Quadratic Divergences Cancellation in the Two Higgs Doublet Model · Introduction · 0.91
In the literature, VC was the subject of many studies beyond standard model (BSM), where the SM Higgs sector is extended either by singlets [ref] , an extra doublet [ref] or a triplet fields [ref] .

Echoes of Veltman criteria on the next-two-Higgs-doublet model · Introduction · 0.98

What it cites · 6 sentences without a confident label

Uses the method or tool of 3 papers

It is convenient to use the invariants $J_1$, $J_2$ and $J_3$ defined in [ref] .

Conditions for CP-Violation in the General Two-Higgs-Doublet Model · CP violation · 0.93
CP violation could be parametrized adopting the $U(2)$-invariants introduced by Lavoura and Silva [ref] , [ref] .

CP-odd invariants in models with several Higgs doublets · CP violation · 0.97
CP violation could be parametrized adopting the $U(2)$-invariants introduced by Lavoura and Silva [ref] , [ref] .

Fundamental CP-violating quantities in a SU(2)$ \otimes $U(1) model with many Higgs doublets · CP violation · 0.97

Cites as background 1 paper

Some phenomenological consequences of the cancellation were discussed already in [ref] .

Canceling Quadratic Divergences in a Class of Two-Higgs-Doublet Models · Quadratic divergences · 0.91

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