High Energy Physics - Phenomenology · arXiv:2308.01090 v3 · submitted 2 Aug 2023
Exploring CP Violation beyond the Standard Model and the PQ Quality with Electric Dipole Moments
The paper says
“Our results imply that EDMs can reveal unambiguous sign of CEDMs while identifying the origin of the axion vacuum value, however it requires further knowledge of low energy parameters induced by the gluon CEDM.”
from the abstract · picked out as the main claim by a classifier
Reviews
Reviews by people
No person has reviewed this paper on Pith yet. A scientist listed on Pith can review it for a fee, and their review is published here whatever it concludes.
The paper
Abstract
In some models of physics beyond the Standard Model (SM), one of the leading low energy consequences of the model appears in the form of the chromo-electric dipole moments (CEDMs) of the gluons and light quarks. We examine if these CEDMs can be distinguished from the QCD θ-term through the experimentally measurable nuclear and atomic electric dipole moments (EDMs) in both cases with and without the Peccei-Quinn (PQ) mechanism solving the strong CP problem. We find that the nucleon EDMs show a distinctive pattern when the EDMs are dominantly induced by the light quark CEDMs without the PQ mechanism. In the presence of the PQ mechanism, the QCD θ-parameter corresponds to the vacuum value of the axion field, which might be induced either by CEDMs or by UV-originated PQ breaking other than the QCD anomaly, for instance the PQ breaking by quantum gravity effects. We find that in case with the PQ mechanism the nucleon EDMs have a similar pattern regardless of what is the dominant source of EDMs among the CEDMs and θ-term, unless there is a significant cancellation between the contributions from different sources. In contrast, some nuclei or atomic EDMs can have characteristic patterns significantly depending on the dominant source of EDMs, which may allow identifying the dominant source among the CEDMs and θ-term. Yet, discriminating the gluon CEDM from the QCD θ-parameter necessitates additional knowledge of low energy parameters induced by the gluon CEDM, which is not available at the moment. Our results imply that EDMs can reveal unambiguous sign of CEDMs while identifying the origin of the axion vacuum value, however it requires further knowledge of low energy parameters induced by the gluon CEDM.
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. No sentence in this record was written by a model.
abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.54
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.96 · human participants 0.01 · controlled comparison 0.20 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.21 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| In some models of physics beyond the Standard Model (SM), one of the leading low energy consequences of the model appears in the form of the chromo-electric dipole moments (CEDMs) of the gluons and light quarks. | background 1.00 | 0.04 | 0.03 | hedged possibility 0.73 |
| We examine if these CEDMs can be distinguished from the QCD $\theta$-term through the experimentally measurable nuclear and atomic electric dipole moments (EDMs) in both cases with and without the Peccei-Quinn (PQ) mechanism solving the strong CP problem. | contribution 0.98 | 0.61 | 0.04 | hedged possibility 0.44 |
| We find that the nucleon EDMs show a distinctive pattern when the EDMs are dominantly induced by the light quark CEDMs without the PQ mechanism. | result 1.00 | 0.95 | 0.16 | asserted 1.00 |
| In the presence of the PQ mechanism, the QCD $\theta$-parameter corresponds to the vacuum value of the axion field, which might be induced either by CEDMs or by UV-originated PQ breaking other than the QCD anomaly, for instance the PQ breaking by quantum gravity effects. | background 0.96 | 0.08 | 0.05 | speculative 0.60 |
| We find that in case with the PQ mechanism the nucleon EDMs have a similar pattern regardless of what is the dominant source of EDMs among the CEDMs and $\theta$-term, unless there is a significant cancellation between the contributions from different sources. | result 1.00 | 0.94 | 0.17 | asserted 1.00 |
| In contrast, some nuclei or atomic EDMs can have characteristic patterns significantly depending on the dominant source of EDMs, which may allow identifying the dominant source among the CEDMs and $\theta$-term. | result 0.95 | 0.82 | 0.23 | hedged possibility 0.92 |
| Yet, discriminating the gluon CEDM from the QCD $\theta$-parameter necessitates additional knowledge of low energy parameters induced by the gluon CEDM, which is not available at the moment. | limitation 0.96 | 0.28 | 0.14 | asserted 0.98 |
| Our results imply that EDMs can reveal unambiguous sign of CEDMs while identifying the origin of the axion vacuum value, however it requires further knowledge of low energy parameters induced by the gluon CEDM. | interpretation 0.99 | 0.81 | 0.81 | asserted 0.54 |
What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.51
What was examined, and what was not
Sources read
- arXiv listing abstract v3
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
How the labels were made
Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,710 input tokens.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
How the literature uses it
3 arXiv papers cite this in 11 sentences
Papers citing it · 9 sentences without a confident label
Builds on it 1 paper
-
In our previous work [ref] , we generalized and reinterpreted this observation by allowing for the possibility of a simply fine-tuned $θ$, and showed that certain classes of hadronic CPV operators, with or without the PQ mechanism, can be distinguished by their characteristic EDM ratios.
The EDM inverse problem: Identifying the sources of CP violation and PQ breaking with electric dipole moments · Introduction · 0.81
Cites it as background 1 paper
-
This problem has been investigated in a number of earlier works, both in terms of CP-violating (CPV) operators at the hadronic scale [ref] and at higher energy scales [ref] .
The EDM inverse problem: Identifying the sources of CP violation and PQ breaking with electric dipole moments · Introduction · 0.99
What it cites · 64 sentences without a confident label
Builds on 1 paper
-
Here we will discuss this model in some details, because it has not been comprehensively studied before concerning its EDM signatures beyond the scope of [ref] .
750 GeV diphoton resonance and electric dipole moments · Vector-like Quarks · 0.90
Uses the method or tool of 4 papers
-
The full one-loop RG equations of the involved operators over the scales between the BSM scale and the electroweak scale are given in appendix [ref] using the results of [ref] .
Renormalization Group Running of Dimension-Six Sources of Parity and Time-Reversal Violation · BSM CP violation mediated by the SM gauge and Higgs bosons · 0.93
-
The full one-loop RG equations of the involved operators over the scales between the BSM scale and the electroweak scale are given in appendix [ref] using the results of [ref] .
Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence · BSM CP violation mediated by the SM gauge and Higgs bosons · 0.93
-
The full one-loop RG equations of the involved operators over the scales between the BSM scale and the electroweak scale are given in appendix [ref] using the results of [ref] .
Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence · BSM CP violation mediated by the SM gauge and Higgs bosons · 0.93
Uses data or values from 10 papers
-
Finally, the gluon CEDM (Weinberg operator) contribution to $g̅_1$ was computed with QCD sum rules and chiral perturbation theory in [ref] as g̅_1 (w) ≃⟨0| L_w | π^0 ⟩(σ_πN/f_π^2 m_π^2+ 5 g_A^2 m_π/64πf_π^4 )≃±(2.6±1.5) ×10^-3 w GeV^2, at the matching scale $μ= 1$ GeV, where $L_w = 1/3 w f^abc G_α^a μ G_μ^bδ G_δ^cα$ is the Weinberg operator, and $g_A=1.27$.
Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments · CPV pion-nucleon couplings $g̅_0$ and $g̅_1$ · 0.97
-
Using the result of [ref] , we get g̅_0 (d̃_q) ≃ m_0^2/8f_π[δ_g_0 d δm_N/d m̅ ϵ(d̃_u+d̃_d) -(1-ϵ^2)δm_N/ϵ∑_q=u,d,sd̃_q/m_q] ≃-0.004(5) K_2 GeV^2, g̅_1 (d̃_q) ≃ δ_g_1 1/2f_π(d̃_u-d̃_d) m_0^2/2 σ_πN/m̅ = -0.095(31) K_2 GeV^2 , at the matching scale $μ= 1$ GeV, where we assumed the relation $d̃_q= m_q K_2$ for the final expression.
Uncovering an Axion Mechanism with the EDM Portfolio · CPV pion-nucleon couplings $g̅_0$ and $g̅_1$ · 0.91
-
The theoretical uncertainty of the above result is about 50% which originates mostly from $M/μ_IR$ which is taken to be $√(2) ≤M/μ_IR ≤2√(2)$ in [ref] .
Sum rules for CP-violating operators of Weinberg type · Nucleon EDMs · 0.86
Cites as background 22 papers
-
Such effective interactions then include the chromo-electric dipole moments (CEDMs) of the gluons and light quarks, EDMs of the light quarks and leptons, and various forms of four-fermion operators (see e.g. [ref] ).
Uncovering an Axion Mechanism with the EDM Portfolio · Introduction · 0.96
-
Such effective interactions then include the chromo-electric dipole moments (CEDMs) of the gluons and light quarks, EDMs of the light quarks and leptons, and various forms of four-fermion operators (see e.g. [ref] ).
Unraveling models of CP violation through electric dipole moments of light nuclei · Introduction · 0.96
-
Previous studies along this line include [ref] .
Probing CP Violation with the Deuteron Electric Dipole Moment · Introduction · 0.87
Challenges and discussion
Know something about this paper? Leave a comment.
Come back by email
A short list of the week's newly reviewed papers. Nothing is sent until you confirm from your inbox, and every email has a link that stops it. No account.
No comments yet.
Sign in to comment