Signatures of discrete symmetries in the scalar sector

L. Lavoura

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Signatures of discrete symmetries in the scalar sector

L. Lavoura

High Energy Physics - Phenomenology · Submitted 16 May 1994

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

The authors' main claim I identify the signatures in the interactions of the scalars that these symmetries leave after their breaking.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.05 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

I discuss methods to identify the presence of dicrete symmetries in the two-Higgs-doublet model by observing the masses and the cubic and quartic interactions of the scalars. The symmetries considered are a $ Z_2 $ symmetry under which $ \phi_2 \rightarrow - \phi_2 $, and a CP symmetry which enforces real coupling constants in the Higgs potential. Those symmetries are spontaneously broken, and the $ Z_2 $ symmetry may also be softly broken. I identify the signatures in the interactions of the scalars that these symmetries leave after their breaking.

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	I discuss methods to identify the presence of dicrete symmetries in the two-Higgs-doublet model by observing the masses and the cubic and quartic interactions of the scalars.	contribution 0.92	0.77	0.14	asserted 0.92
s1	The symmetries considered are a $ Z_2 $ symmetry under which $ \phi_2 \rightarrow - \phi_2 $, and a CP symmetry which enforces real coupling constants in the Higgs potential.	background 0.68	0.16	0.06	asserted 0.99
s2	Those symmetries are spontaneously broken, and the $ Z_2 $ symmetry may also be softly broken.	background 0.85	0.21	0.07	asserted 0.56
s3	I identify the signatures in the interactions of the scalars that these symmetries leave after their breaking.	contribution 0.89	0.92	0.48	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.90 · evidence from proof or derivation 0.73.

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arXiv listing abstract v1

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full text
figures and tables
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S sections
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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

I discuss methods to identify the presence of dicrete symmetries in the two-Higgs-doublet model by observing the masses and the cubic and quartic interactions of the scalars. The symmetries considered are a $ Z_2 $ symmetry under which $ \phi_2 \rightarrow - \phi_2 $, and a CP symmetry which enforces real coupling constants in the Higgs potential. Those symmetries are spontaneously broken, and the $ Z_2 $ symmetry may also be softly broken. I identify the signatures in the interactions of the scalars that these symmetries leave after their breaking.

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References

Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Correlating Resonant Di-Higgs and Tri-Higgs Production to $H\to VV$ in the 2HDM
hep-ph 2025-12 conditional novelty 6.0 of 10

In the decoupling limit of the 2HDM, a heavy Higgs boson's decays to two Higgs bosons and to Z/W pairs are predicted to have a fixed ratio of about 9.5, independent of Yukawa and scalar-potential parameters.
Correlating $A \to \gamma\gamma$ with electric dipole moments in the two Higgs doublet model in light of the diphoton excesses at 95 GeV and 152 GeV
hep-ph 2024-11 conditional novelty 6.0 of 10

The CP-odd scalar A in the flavor-aligned CP-violating 2HDM can explain the diphoton excesses at 95 and 152 GeV only in tuned regions that survive the electron EDM bound and predict measurable neutron and proton EDMs.
On the Alignment Limit of the NMSSM Higgs Sector
hep-ph 2015-10 conditional novelty 6.0 of 10

The NMSSM Higgs sector can align one neutral scalar with the electroweak vacuum expectation value at lambda around 0.65, giving a Standard-Model-like 125 GeV Higgs with stops near the electroweak scale.
Complementarity Between Non-Standard Higgs Searches and Precision Higgs Measurements in the MSSM
hep-ph 2014-10 accept novelty 6.0 of 10

Near the MSSM alignment limit the 125 GeV Higgs can mimic the Standard Model for any mass of its heavier partners, so precision measurements stop bounding the heavy-Higgs mass and direct tau-pair searches take over.
Basis-independent methods for the two-Higgs-doublet model II. The significance of tan(beta)
hep-ph 2006-02 accept novelty 6.0 of 10

In the general two-Higgs-doublet model, tan beta is a basis-dependent, unphysical quantity, and all physical couplings can be expressed through U(2)-invariant tan beta-like parameters.

Show 3 more citing papers

Basis-independent methods for the two-Higgs-doublet model
hep-ph 2005-04 accept novelty 6.0 of 10

The authors enumerate basis-independent invariants of the general two-Higgs-doublet model, show they fix all tree-level Higgs masses and couplings, and replace the basis-dependent tan beta with physical Yukawa ratios.
Probing wrong-sign Yukawa couplings at the LHC and a future linear collider
hep-ph 2014-03 accept novelty 5.0 of 10

A wrong-sign Higgs-bottom coupling survives current LHC data in the type-II 2HDM, but a 5% measurement of the diphoton rate, or a gluon-gluon rate measurement at a linear collider, would resolve the sign.
$R(D^{(*)})$ in a general two Higgs doublet model
hep-ph 2017-08 conditional novelty 4.0 of 10

In a general 2HDM the R(D) and R(D*) anomalies can be partly accommodated only if BR(Bc to tau nu) is allowed up to 30 percent, and the surviving parameter space predicts large exotic heavy-Higgs production rates at the LHC.

How the literature uses it

16 arXiv papers cite this in 20 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 · 14 sentences without a confident label

Uses its method or tool 1 paper

We find that working in the so-called Higgs basis [ref] greatly simplifies the matching calculation, leading to strikingly simple parametrizations for the muon dipole moments.

Predictions for Muon Electric and Magnetic Dipole Moments from $h \rightarrow \mu^+ \mu^-$ in Two-Higgs-Doublet Models with New Leptons · Introduction · 0.99

Cites it as background 3 papers

In particular, one can always transform from the scalar field basis ${Φ_1,Φ_2}$ to the Higgs basis [ref] , denoted by ${ℋ_1, ℋ_2}$, such that $⟨ℋ_1^0⟩=v/√(2)$ and $⟨ℋ_2^0⟩=0$, with $v≡(√(2)G_F)^-1/2≃246 GeV$, where $G_F$ is the Fermi constant.

Correlating $A \to \gamma\gamma$ with electric dipole moments in the two Higgs doublet model in light of the diphoton excesses at 95 GeV and 152 GeV · 2HDM Formalism · 0.86
The traditional approach works directly with the Higgs-doublet fields [ref] .

Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model · Introduction · 0.87
An attempt to extract the observable parameters in the 2HDM, aiming to identify the presence of discrete symmetries through measurements, was made in Ref. [ref] .

Physical parameters and basis transformations in the Two-Higgs-Doublet model · Discussions · 0.96

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