Pith. Sign in

RECORD

Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
P.M. Ferreira, R. Santos, A. Barroso

High Energy Physics - Phenomenology · Submitted 21 Jun 2004

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

The authors' main claim We show that in two Higgs doublet models at tree-level the potential minimum preserving electric charge and CP symmetries, when it exists, is the global one.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDhep-ph/0406231 (version 2)
Pith IDK4IXRMOA, Pith's permanent record of this paper and its review
CitationA. Barroso, P.M. Ferreira, R. Santos. "Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation." arXiv:hep-ph/0406231 (2004). https://pith.science/paper/K4IXRMOA
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,284 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.50 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We show that in two Higgs doublet models at tree-level the potential minimum preserving electric charge and CP symmetries, when it exists, is the global one. Furthermore, we derived a very simple condition, involving only the coefficients of the quartic terms of the potential, that guarantees spontaneous CP breaking.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We show that in two Higgs doublet models at tree-level the potential minimum preserving electric charge and CP symmetries, when it exists, is the global one. result 0.99 0.93 0.82 asserted 1.00
s1 Furthermore, we derived a very simple condition, involving only the coefficients of the quartic terms of the potential, that guarantees spontaneous CP breaking. result 0.92 0.96 0.14 asserted 1.00

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

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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 in two Higgs doublet models at tree-level the potential minimum preserving electric charge and CP symmetries, when it exists, is the global one. Furthermore, we derived a very simple condition, involving only the coefficients of the quartic terms of the potential, that guarantees spontaneous CP breaking.

Human review

How Pith checks papers → · Full audit of this paper →

References
How later papers used it

69 later papers cite it

Evidence: some. 53 of the citing papers share no author with it, and 8 of those carry a confident label from Pith's citation classifier.

Pith read 9 of the 102 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 1 of 4 papers with this label
How the literature uses it

65 arXiv papers cite this in 98 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 · 73 sentences without a confident label

Uses its method or tool 4 papers
Compares with it 1 paper
  • Crucially, though, this foray into the many possible vacua of the model revealed that neither of the vacua of interest – the Dark Matter minimum or the minimum which preserves custodial symmetry – are automatically stable, as occurs for instance in the 2HDM [ref] , a model for which it was proven that minima which break different symmetries cannot coexist.

    Vacuum structure of the $\mathbb{Z}_2$ symmetric Georgi-Machacek model · Conclusions · 0.95

Cites it as support 3 papers
Cites it as background 13 papers

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.