{"arxiv_id":"2308.01090","incoming":{"papers":3,"sentences":11,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2604.25516","title":"The EDM inverse problem: Identifying the sources of CP violation and PQ breaking with electric dipole moments","url":"/paper/2604.25516","section":"Introduction","sentence":"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.","intent_p":0.81,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2604.25516","title":"The EDM inverse problem: Identifying the sources of CP violation and PQ breaking with electric dipole moments","url":"/paper/2604.25516","section":"Introduction","sentence":"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] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":9},"outgoing":{"papers":69,"sentences":107,"groups":[{"kind":"extends","label":"Builds on","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1605.00206","title":"750 GeV diphoton resonance and electric dipole moments","url":"/paper/1605.00206","section":"Vector-like Quarks","sentence":"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] .","intent_p":0.9,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses the method or tool of","papers":4,"sentences":4,"quotes":[{"arxiv_id":"1303.3156","title":"Renormalization Group Running of Dimension-Six Sources of Parity and Time-Reversal Violation","url":"/paper/1303.3156","section":"BSM CP violation mediated by the SM gauge and Higgs bosons","sentence":"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] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"1308.2627","title":"Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence","url":"/paper/1308.2627","section":"BSM CP violation mediated by the SM gauge and Higgs bosons","sentence":"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] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"1310.4838","title":"Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence","url":"/paper/1310.4838","section":"BSM CP violation mediated by the SM gauge and Higgs bosons","sentence":"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] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"1312.2014","title":"Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology","url":"/paper/1312.2014","section":"BSM CP violation mediated by the SM gauge and Higgs bosons","sentence":"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] .","intent_p":0.93,"contests_p":null}]},{"kind":"data_used","label":"Uses data or values from","papers":10,"sentences":13,"quotes":[{"arxiv_id":"2203.06878","title":"Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments","url":"/paper/2203.06878","section":"CPV pion-nucleon couplings $g̅_0$ and $g̅_1$","sentence":"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 $g_A=1.27$.","intent_p":0.97,"contests_p":null},{"arxiv_id":"2107.04046","title":"Uncovering an Axion Mechanism with the EDM Portfolio","url":"/paper/2107.04046","section":"CPV pion-nucleon couplings $g̅_0$ and $g̅_1$","sentence":"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.","intent_p":0.91,"contests_p":null},{"arxiv_id":"1909.08955","title":"Sum rules for CP-violating operators of Weinberg type","url":"/paper/1909.08955","section":"Nucleon EDMs","sentence":"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] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"1807.09581","title":"Correlating Schiff moments in the light actinides with octupole moments","url":"/paper/1807.09581","section":"Nuclei or Atomic EDMs","sentence":"We also consider the atomic EDMs of heavy nuclei $^225 Ra$ and $^129 Xe$, using the following results of [ref] for $^225 Ra$ and [ref] for $^129 Xe$: d_Ra = 7.7×10^-4[(2.5±7.5)g̅_0- (65±40)g̅_1 -(1.1(3.3) C_1-3.2(2.1) C_2) fm^-3 ] e fm, d_Xe = 1.3×10^-5 d_n -10^-5 [1.6g̅_0+ 1.7g̅_1] e fm.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2006.15142","title":"Large-scale shell-model calculations of nuclear Schiff moments of $^{129}$Xe and $^{199}$Hg","url":"/paper/2006.15142","section":"Nuclei or Atomic EDMs","sentence":"We also consider the atomic EDMs of heavy nuclei $^225 Ra$ and $^129 Xe$, using the following results of [ref] for $^225 Ra$ and [ref] for $^129 Xe$: d_Ra = 7.7×10^-4[(2.5±7.5)g̅_0- (65±40)g̅_1 -(1.1(3.3) C_1-3.2(2.1) C_2) fm^-3 ] e fm, d_Xe = 1.3×10^-5 d_n -10^-5 [1.6g̅_0+ 1.7g̅_1] e fm.","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":22,"sentences":25,"quotes":[{"arxiv_id":"2107.04046","title":"Uncovering an Axion Mechanism with the EDM Portfolio","url":"/paper/2107.04046","section":"Introduction","sentence":"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] ).","intent_p":0.96,"contests_p":null},{"arxiv_id":"1404.6082","title":"Unraveling models of CP violation through electric dipole moments of light nuclei","url":"/paper/1404.6082","section":"Introduction","sentence":"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] ).","intent_p":0.96,"contests_p":null},{"arxiv_id":"hep-ph/0402023","title":"Probing CP Violation with the Deuteron Electric Dipole Moment","url":"/paper/hep-ph/0402023","section":"Introduction","sentence":"Previous studies along this line include [ref] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"1809.10143","title":"Indirect Signs of the Peccei-Quinn Mechanism","url":"/paper/1809.10143","section":"Introduction","sentence":"Previous studies along this line include [ref] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"1308.6283","title":"Electric Dipole Moments in Two-Higgs-Doublet Models","url":"/paper/1308.6283","section":"2HDMs","sentence":"2HDMs are a class of models that can mediate CP violation through heavy beyond the Standard Model (BSM) Higgs bosons, 3 neutral and 2 charged ones, with a $Z_2$ symmetry imposed to suppress the flavor-changing neutral currents, see [ref] for an extended discussion of its EDM phenomenology.","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":64},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/2308.01090"}}