Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime

Abstract

The muon anomalous magnetic moment continues to attract attention due to the possible tension between the experimentally measured value and the theoretical Standard Model prediction. With the aim to reduce the uncertainty on the hadronic light-by-light contribution to the magnetic moment, we derive short-distance constraints in the Melnikov-Vainshtein regime which are useful for data-driven determinations. In this kinematical region, two of the four electromagnetic currents are close in the four-point function defining the hadronic light-by-light tensor. To obtain the constraints, we develop a systematic operator product expansion of the tensor in question to next-to-leading order in the expansion in operators. We evaluate the leading in ${\alpha }_s$ contributions and derive constraints for the next-to-leading operators that are also valid nonperturbatively.

35 pages, 4 figures. Published version

References in corpus (10)

• Light-by-light scattering sum rules in light of new data
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• 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
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions
• On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon
• Holographic QCD and the muon anomalous magnetic moment
• Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$

Cited by in corpus (22)

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• Isospin-breaking effects in the three-pion contribution to hadronic vacuum polarization
• 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
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• 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 $g-2$
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$