On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon

Abstract

Some short-distance properties of the fourth-rank hadronic vacuum polarization tensor are re-examined.Their consequences are critically discussed in the context of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon.

Latex2e, 19 pages

References in corpus (10)

• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• 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
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative
• Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$

Cited by in corpus (25)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• 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 $g-2$
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• 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
• Dispersion relation for hadronic light-by-light scattering: subleading contributions
• Dispersion relations for hadronic light-by-light scattering in triangle kinematics
• 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
• Dispersion relations for the hadronic VVA correlator
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Improved evaluation of the electroweak contribution to muon $g-2$
• OPE of Green Functions of Chiral Currents
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Tau data-driven evaluation of the Hadronic Vacuum Polarization