Sum rules for CP-violating operators of Weinberg type

Abstract

We estimate the size of the hadronic matrix elements of CP-violating three-gluon and four-gluon Weinberg operators using sum-rule techniques. In the three-gluon case, we are able to reproduce the expressions given in earlier works, while the four-gluon results obtained in this article are new. Our paper therefore represents the first systematic study of contributions to the electric dipole moment of the neutron due to CP-violating dimension-six and dimension-eight operators. We provide many details on both the derivation of the sum rules as well as the analysis of the uncertainties that plague our final predictions.

arXiv comment28 pages, 4 figures; v6: discussion on the proton electric dipole moment clarified

References in corpus (67)

• Instantons in QCD
• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
• Electric dipole moments as probes of new physics
• New Developments in FeynCalc 9.0
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Improved limit on the permanent electric dipole moment of 199Hg
• A Revised Experimental Upper Limit on the Electric Dipole Moment of the Neutron
• Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}$Hg
• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• QCD Sum Rules, a Modern Perspective
• Electric Dipole Moments in Two-Higgs-Doublet Models
• Constraining the top-Higgs sector of the Standard Model Effective Field Theory
• QCD Sum Rules for Skeptics
• Constraints on CP-violating Higgs couplings to the third generation
• Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
• Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules
• Neutron EDM from Electric and Chromoelectric Dipole Moments of Quarks
• Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
• Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD
• CPV Phenomenology of Flavor Conserving Two Higgs Doublet Models
• Probing CP Violation with the Deuteron Electric Dipole Moment
• Theta Vacua, QCD Sum Rules, and the Neutron Electric Dipole Moment
• Generalized Fierz identities
• Flavor diagonal tensor charges of the nucleon from 2+1+1 flavor lattice QCD
• Hadronic EDMs, the Weinberg Operator, and Light Gluinos
• EFT approach to the electron Electric Dipole Moment at the two-loop level
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Simple derivation of general Fierz-type identities
• Is there room for CP violation in the top-Higgs sector?
• The phenomenology of electric dipole moments in models of scalar leptoquarks
• Instantons, the QCD Vacuum, and Hadronic Physics
• Modified Higgs branching ratios versus CP and lepton flavor violation
• Theoretical study of ThO for the electron electric dipole moment search
• Interpreting the Electron EDM Constraint
• Experimental constraints on the coupling of the Higgs boson to electrons
• Non-forward NLO BFKL Kernel
• Performance of the upgraded ultracold neutron source at Los Alamos National Laboratory and its implication for a possible neutron electric dipole moment experiment
• Nucleon Properties from Unconventional Interpolating Fields
• Dimension-5 CP-odd operators: QCD mixing and renormalization
• Direct and indirect constraints on CP-violating Higgs-quark and Higgs-gluon interactions
• A Comprehensive Analysis of Electric Dipole Moment Constraints on CP-violating Phases in the MSSM
• Reevaluation of Neutron Electric Dipole Moment with QCD Sum Rules
• On Lattice Calculation of Electric Dipole Moments and Form Factors of the Nucleon
• $\mathbf{C}\mathbf{P}$ violation in Higgs-gauge interactions: from tabletop experiments to the LHC
• Electron Electric Dipole Moment and Hyperfine Interaction Constants for ThO
• Short distance current correlators: Comparing lattice simulations to the instanton liquid
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• An effective gauge-Higgs operators analysis of new physics associated with the Higgs
• Evidence for Instanton-Induced Dynamics, from Lattice QCD
• Drawing Feynman Diagrams with LaTeX and Metafont
• Infrared and ultraviolet properties of the Landau gauge quark propagator
• Searching for t->c(u)h with dipole moments
• Electric dipole moment of ${}^{199}$Hg atom from P, CP-odd electron-nucleon interaction
• Electric dipole moment constraints on CP-violating light-quark Yukawas
• On LHC searches for CP-violating, dimension-6 electroweak gauge boson operators
• Exploring the Chiral Regime of QCD in the Interacting Instanton Liquid Model
• Constraints on CP-violating gauge-Higgs operators
• Direct Instantons and Nucleon Magnetic Moments
• Electric Dipole Moment Results from lattice QCD
• Estimates of higher-dimensional vacuum condensates from the instanton vacuum
• The quest to find an electric dipole moment of the neutron
• Calculation of Nucleon Electric Dipole Moments Induced by Quark Chromo-Electric Dipole Moments
• Towards a determination of the nucleon EDM from the quark chromo-EDM operator with the gradient flow
• Renormalization of CP-Violating Pure Gauge Operators in Perturbative QCD Using the Gradient Flow
• Vacuum expectations of the high dimensional operator and their contribution in Bjorken and Ellis-Jaffe sum rules
• Neutron Electric Dipole Moment from Beyond the Standard Model

Cited by in corpus (24)

• Parity- and time-reversal-violating nuclear forces
• Two- and three-loop anomalous dimensions of Weinberg's dimension-six CP-odd gluonic operator
• Two-Higgs-Doublet Model with Soft CP-violation Confronting Electric Dipole Moments and Colliders
• Contribution of the QCD $\Theta$-term to nucleon electric dipole moment
• A low-energy perspective on the minimal left-right symmetric model
• Implications for Electric Dipole Moments of a Leptoquark Scenario for the $B$-Physics Anomalies
• Short flow-time coefficients of CP-violating operators
• Weinberg operator contribution to the nucleon electric dipole moment in the quark model
• Global Constraints on Yukawa Operators in the Standard Model Effective Theory
• Non-perturbative renormalization scheme for the CP-odd three-gluon operator
• Improved indirect limits on charm and bottom quark EDMs
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Electric dipole moments from colour-octet scalars
• Quantifying Limits on CP Violating Phases from EDMs in Supersymmetry
• Electric Dipole Moments as Probes of $B$ Anomaly
• Electric dipole moments of three-nucleon systems in the pionless effective field theory
• Nuclear EDM from SMEFT flavor-changing operator
• Weinberg Operator Contribution to the Hadronic CP Violation
• Weinberg operator contribution to the CP-odd nuclear force in the quark model
• Exploring CP Violation beyond the Standard Model and the PQ Quality with Electric Dipole Moments
• Quark model analysis of the Weinberg operator contribution to the nucleon EDM
• One-loop matching for quark dipole operators in a gradient-flow scheme
• Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments
• Beautiful and charming chromodipole moments