Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach

Abstract

We determine the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon using the framework of Dyson-Schwinger and Bethe-Salpeter equations of QCD. Our result for the pseudoscalar (${\pi }^0,\eta ,{\eta }^{\prime }$) meson exchange diagram is commensurate with previous calculations. In our calculation of the quark loop contribution we improve previous approaches by implementing constraints due to gauge invariance. As a consequence, our value $a_{\mu }^{\text{LBL;quarkloop}}=(136\pm 59)\times 10^{-11}$ is significantly larger. Taken at face value, this then leads to a revised estimate of the total $a_{\mu }=116591891.0(105.0)\times 10^{-11}$.

14 pages, 16 figures, 2 tables. Version to appear in Phys. Rev. D

References in corpus (14)

• Infrared Properties of QCD from Dyson-Schwinger equations
• The Muon Magnetic Moment and Supersymmetry
• Hadron Properties and Dyson-Schwinger Equations
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Vector meson form factors and their quark-mass dependence
• Chiral and deconfinement transition from Dyson-Schwinger equations
• The Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment: Where do we stand?
• Beyond the rainbow: effects from pion back-coupling
• Hadronic unquenching effects in the quark propagator
• Flavour symmetry breaking and meson masses
• Unquenching effects in the quark and gluon propagator
• U_A(1) anomaly and eta' mass from an infrared singular quark-gluon vertex
• Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model
• A fresh look at hadronic light-by-light scattering in the muon g-2 with the Dyson-Schwinger approach

Cited by in corpus (41)

• The anomalous magnetic moment of the muon in the Standard Model
• (g-2)_mu and alpha(M_Z^2) re-evaluated using new precise data
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Baryons as relativistic three-quark bound states
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Interaction model for the gap equation
• Towards a data-driven analysis of hadronic light-by-light scattering
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• Kaon-box contribution to the anomalous magnetic moment of the muon
• On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
• Electromagnetic decays of the neutral pion
• Should we still believe in constrained supersymmetry?
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• On the possibility to measure the (pi0 to gamma gamma) decay width and the (gamma* gamma to pi0) transition form factor with the KLOE-2 experiment
• On the large-Q^2 behavior of the pion transition form factor
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Leading-order calculation of hadronic contributions to the muon $g-2$ using the Dyson-Schwinger approach
• The role of momentum dependent dressing functions and vector meson dominance in hadronic light-by-light contributions to the muon g-2
• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model
• Status of the lepton g-2 and effects of hadronic corrections
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Electromagnetic Form Factors and Charge Radii of Pseudoscalar and Scalar Mesons: A Comprehensive Contact Interaction Analysis
• Unified description of hadron-photon and hadron-meson scattering in the Dyson-Schwinger approach
• Hadronic light-by-light contribution to $a_{\mu }$: extended Nambu-Jona-Lasinio, chiral quark models and chiral Lagrangians
• Constraints from neutrino masses and muon (g-2) in the bilinear R-parity violating supersymmetric model
• New physics for muon anomalous magnetic moment and its electroweak precision analysis
• Pseudoscalar meson form factors and decays
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• Looking into the matter of light-quark hadrons
• Update of the Electron and Muon g-Factors
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)
• On the Hadronic light-by-light contribution to the muon $g-2$
• Hadronic contribution to the muon g-2: a Dyson-Schwinger perspective