Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory

Abstract

We review the recent progress achieved, using Resonance Chiral Theory, in the hadronic contributions to the muon anomalous magnetic moment. These include the hadronic vacuum polarization, either using $e^{+}{e}^{-}$ or $\tau$ decays into hadron final states as input; and the hadronic light-by-light part, where in addition to previous results on the lightest pseudoscalar and tensor-poles contributions, we first present the evaluation of the pseudoscalar box using this formalism. We also discuss the scalar, axial-pole and other subleading pieces. The results obtained are consistent with the White Paper 2 values, with comparable precision.

32 pages, 1 figure, 1 table. Invited review. Version accepted for publication in EPJ ST

References in corpus (54)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Measurement of the fine-structure constant as a test of the Standard Model
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
• Measurement of the Electron Magnetic Moment
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Towards a consistent estimate of the chiral low-energy constants
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Light-by-light scattering sum rules in light of new data
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section from threshold to 1.2 GeV with the CMD-3 detector
• Kaon electromagnetic form factors in dispersion theory
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• Long-distance radiative corrections to the di-pion tau lepton decay
• Measurement of the pion form factor with CMD-3 detector and its implication to the hadronic contribution to muon (g-2)
• Isospin-breaking effects in the two-pion contribution to hadronic vacuum polarization
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD
• Effective field theory for radiative corrections to charged-current processes I: Vector coupling
• Tensions in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ measurements: the new landscape of data-driven hadronic vacuum polarization predictions for the muon $g-2$
• A dispersive analysis of the pion vector form factor and ${\tau }^{-}\to K^{-}{K}_S{\nu }_{\tau }$ decay
• Tensor meson exchange at low energies
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• An optimized basis for hadronic light-by-light scattering
• Radiative corrections to $\tau \to \pi (K){\nu }_{\tau }[\gamma ]$: a reliable new physics test
• Dispersion relation for hadronic light-by-light scattering: subleading contributions
• 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
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• Dispersion relations for the hadronic VVA correlator
• Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
• Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ annihilation and their contributions to $(g-2{)}_{\mu }$
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• One-loop determination of $\tau \to \pi (K){\nu }_{\tau }[\gamma ]$ branching ratios and new physics tests
• 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
• Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model
• Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light ${\pi }^0$-pole Contribution to the Muon $g-2$
• Isospin breaking corrections in $2\pi$ production in tau decays and $e^{+}{e}^{-}$ annihilation: consequences for the muon $g-2$ and CVC tests
• Improved evaluation of the electroweak contribution to muon $g-2$
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• Axial-vector exchange contribution to the Hyperfine Splitting
• Revisit of tensor-meson nonet in resonance chiral theory
• Radially excited pion: electromagnetic form factor and the box contribution to the muon's $g-2$
• Proton-box contribution to $a_{\mu }^{\mathrm{HLbL}}$
• On the three-point order parameters of chiral symmetry breaking
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T