Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD

Abstract

A continuum approach to Quantum Chromodynamics (QCD), based upon Schwinger-Dyson (SD) and Bethe-Salpeter (BS) equations, is employed to provide a tightly constrained prediction for the ${\gamma }^{\ast }{\gamma }^{\ast }\to \{{\pi }^0,\eta ,{\eta }^{\prime },{\eta }_c,{\eta }_b\}$ transition form factors (TFFs) and their corresponding pole contribution to the hadronic light-by-light (HLbL) piece of the anomalous magnetic moment of the muon ($a_{\mu }$). This work relies on a practical and well-tested quark-photon vertex Ansatz approach to evaluate the TFFs for arbitrary space-like photon virtualities, in the impulse approximation. The numerical results are parametrized meticulously, ensuring a reliable evaluation of the HLbL contributions to $a_{\mu }$. We obtain: $a_{\mu }^{{\pi }^0-\text{pole}}=(6.14\pm 0.21)\times 10^{-10}$, $a_{\mu }^{\eta -\text{pole}}=(1.47\pm 0.19)\times 10^{-10}$, $a_{\mu }^{{\eta }^{\prime }-\text{pole}}=(1.36\pm 0.08)\times 10^{-10}$, yielding a total value of $a_{\mu }^{{\pi }^0+\eta +{\eta }^{\prime }-\text{pole}}=(8.97\pm 0.48)\times 10^{-10}$, compatible with contemporary determinations. Notably, we find that $a_{\mu }^{{\eta }_c+{\eta }_b-\text{pole}}\approx a_{\mu }^{{\eta }_c-\text{pole}}=(0.09\pm 0.01)\times 10^{-10}$, which might not be negligible once the percent precision in the computation of the light pseudoscalars is reached.

arXiv comment13 pages, 4 figures, 3 tables

References in corpus (91)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• The Muon g-2
• Measurement of the fine-structure constant as a test of the Standard Model
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Two-pion contribution to hadronic vacuum polarization
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Remarks on higher-order hadronic corrections to the muon g-2
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• Three-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
• Quark structure of pseudoscalar mesons
• Combined explanations of $(g-2{)}_{\mu ,e}$ and implications for a large muon EDM
• Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• On the 1/N expansion in chiral perturbation theory
• Sketching the Bethe-Salpeter kernel
• Hadronic light-by-light scattering contribution to the muon g-2: an effective field theory 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
• Pseudoscalar pole terms in the hadronic light-by-light scattering contribution to muon $g-2$
• Pion electromagnetic form factor at spacelike momenta
• Pion and Kaon Structure at the Electron-Ion Collider
• The Quark-Photon Vertex and the Pion Charge Radius
• Dispersive approach to hadronic light-by-light scattering
• Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops
• Comment on the Pion Pole Part of the Light-by-Light Contribution to the Muon $g-2$
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• The pion: an enigma within the Standard Model
• Process-independent strong running coupling
• Muon g-2 Theory: the Hadronic Part
• Hadronic Contributions to the Muon $g-2$ and Low-Energy QCD
• Light-by-light scattering sum rules in light of new data
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Pion pole contribution to hadronic light-by-light scattering and muon anomalous magnetic moment
• Kaon-box contribution to the anomalous magnetic moment of the muon
• A Tale of Two Anomalies
• Muon (g-2) Technical Design Report
• Scalar Meson Contributions to a_μfrom Hadronic Light-by-Light Scattering
• Tracing masses of ground-state light-quark mesons
• Structure of the neutral pion and its electromagnetic transition form factor
• Spectrum of light- and heavy-baryons
• Symmetry, symmetry breaking, and pion parton distributions
• Electromagnetic Transition Form Factors of Light Mesons
• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• Anomalous magnetic moment of the muon in a dispersive approach
• Valence-quark distribution functions in the kaon and pion
• On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution
• γ*γ\rightarrow π^0 transition form factor at low-energies from a model-independent approach
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• Using infinite volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• Ward-Green-Takahashi identities and the axial-vector vertex
• Flavour symmetry breaking and meson masses
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Lattice QCD and the anomalous magnetic moment of the muon
• Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach
• Mass-dependence of pseudoscalar meson elastic form factors
• Exposing strangeness: projections for kaon electromagnetic form factors
• Partonic structure of neutral pseudoscalars via two photon transition form factors
• The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• Measurement of the gamma gamma* --> eta_c transition form factor
• The hadronic light by light contribution to the $(g-2{)}_{\mu }$ with holographic models of QCD
• Process-independent effective coupling. From QCD Green's functions to phenomenology
• Drawing insights from pion parton distributions
• Can NRQCD explain the $\gamma {\gamma }^{\ast }\to {\eta }_c$ transition form factor data?
• Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD
• Distribution amplitudes of light-quark mesons from lattice QCD
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• On the large-Q^2 behavior of the pion transition form factor
• Pion light-by-light contributions to the muon $g-2$
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• On non-primitively divergent vertices of Yang-Mills theory
• Upper Bound on the Hadronic Light-by-Light Contribution to the Muon g-2
• The pseudoscalar meson electromagnetic form factor at high $Q^2$ from full lattice QCD
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• Dissecting the hadronic contributions to $(g-2{)}_{\mu }$ by Schwinger's sum rule
• Ballpark prediction for the hadronic light-by-light contribution to the muon (g-2)_μ

Cited by in corpus (28)

• The anomalous magnetic moment of the muon in the Standard Model
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• Impressions of the Continuum Bound State Problem in QCD
• Asymptotic behavior of meson transition form factors
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Effects of Longitudinal Short-Distance Constraints on the Hadronic Light-by-Light Contribution to the Muon $g-2$
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• 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
• Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking
• Quark anomalous magnetic moment and its effects on the $\rho$ meson properties
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• $D^{\ast }$ and $D_s^{\ast }$ distribution amplitudes from Bethe-Salpeter wave functions
• The $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factor and the hadronic light-by-light $\eta$-pole contribution to the muon $g-2$ from lattice QCD
• The time-like electromagnetic kaon form factor
• Timelike form factor for the anomalous process ${\gamma }^{\ast }\pi \to \pi \pi$
• Radially excited pion: electromagnetic form factor and the box contribution to the muon's $g-2$
• Pseudoscalar current and covariance with the light-front approach
• Renormalized Schwinger-Dyson functional
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Linking continuum and lattice quark mass functions via an effective charge
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$