Electric dipole moment of the rho-meson

Abstract

At an hadronic scale the effect of CP-violating interactions that typically appear in extensions of the Standard Model may be described by an effective Lagrangian, in which the operators are expressed in terms of lepton and partonic gluon and quark fields, and ordered by their mass dimension, k .geq. 4. Using a global-symmetry-preserving truncation of QCD's Dyson-Schwinger equations, we compute the rho-meson's electric dipole moment (EDM), d_rho, as generated by the leading dimension-four and -five CP-violating operators and an example of a dimension-six four-quark operator. The two dimension-five operators; viz., quark-EDM and -chromo-EDM, produce contributions to d_rho whose coefficients are of the same sign and within a factor of two in magnitude. Moreover, should a suppression mechanism be verified for the theta-term in any beyond-Standard-Model theory, the contribution from a four-quark operator can match the quark-EDM and -chromo-EDM in importance. This study serves as a prototype for the more challenging task of computing the neutron's EDM.

13 pages, 7 figures, 4 tables

References in corpus (13)

• Dressed-quark anomalous magnetic moments
• Abelian anomaly and neutral pion production
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Vector meson form factors and their quark-mass dependence
• Low Energy Precision Test of Supersymmetry
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Pion form factor from a contact interaction
• Masses of ground and excited-state hadrons
• Perspective on rainbow-ladder truncation
• Flavour symmetry breaking and meson masses
• Mind the gap
• Supersymmetric Electroweak Baryogenesis Via Resonant Sfermion Sources
• Current quark mass dependence of nucleon magnetic moments and radii

Cited by in corpus (14)

• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Dimension-5 CP-odd operators: QCD mixing and renormalization
• Three Lectures on Hadron Physics
• Nucleon tensor charges and electric dipole moments
• Light Meson Form Factors at near Physical Masses
• Contact-interaction Faddeev equation and, inter alia, proton tensor charges
• Parity partners in the baryon resonance spectrum
• Dynamical diquarks in the ${\mathbf{\gamma }}^{(\ast )}\mathbf{p}\to \mathbf{N}(1535){\frac{1}{2}}^{-}$ transition
• Rho meson form factors in a confining Nambu--Jona-Lasinio model
• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
• Unambiguous Extraction of the Electromagnetic Form Factors for Spin-1 Particles on the Light-Front
• Right-Handed Neutrinos and T-Violating, P-Conserving Interactions
• Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints
• Covariant form factors for spin-1 particles