Anomalous magnetic moment of the muon in a dispersive approach

Abstract

We present a new general dispersive formalism for evaluating the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon. In the suggested approach, this correction is related to the imaginary part of the muon's electromagnetic vertex function. The latter may be directly related to measurable hadronic processes by means of unitarity and analyticity. As a test we apply the introduced formalism to the case of meson pole exchanges and find agreement with the direct two-loop calculation.

arXiv comment5 pages, 4 figures

References in corpus (8)

• The Muon g-2
• The Muon Anomalous Magnetic Moment: A Harbinger For "New Physics"
• Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
• Towards a data-driven analysis of hadronic light-by-light scattering
• Dispersive approach to hadronic light-by-light scattering
• New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code
• Unified dispersive approach to real and virtual photon-photon scattering at low energy
• Application of chiral resonance Lagrangian theories to the muon g-2

Cited by in corpus (61)

• The anomalous magnetic moment of the muon in the Standard Model
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• 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
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
• A perturbed lepton-specific two-Higgs-doublet model facing experimental hints for physics beyond the Standard Model
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• 50 Years of Quantum Chromodynamics
• Limiting two-Higgs-doublet models
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• 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
• Kaon-box contribution to the anomalous magnetic moment of the muon
• The anomalous magnetic moment of the muon in the Standard Model: an update
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• GM2Calc: Precise MSSM prediction for $(g-2)$ of the muon
• Lattice Calculation of Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment
• On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution
• Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Lattice QCD calculation of hadronic light-by-light scattering
• Dispersive analysis of the $\gamma {\gamma }^{\ast }\to \pi \pi$ process
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• Lattice QCD and the anomalous magnetic moment of the muon
• Muon g-2 in the 2HDM: maximum results and detailed phenomenology
• Four-point functions and the permutation group S4
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• Measurement of the omega -> pi^0 e^+e^- and eta -> e^+e^-g Dalitz decays with the A2 setup at MAMI
• 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
• Effects of Longitudinal Short-Distance Constraints on the Hadronic Light-by-Light Contribution to the Muon $g-2$
• Leptoquark explanation of $h\to \mu \tau$ and muon $(g-2)$
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Towards an improved understanding of $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$
• On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon
• Measurement of the pi^0 -> e^+e^-gamma Dalitz decay at the Mainz Microtron
• Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model
• Theoretical analysis of the $\gamma \gamma \to {\pi }^0\eta$ process
• Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Dissecting the hadronic contributions to $(g-2{)}_{\mu }$ by Schwinger's sum rule
• Data-driven dispersive analysis of the $\pi \pi$ and $\pi K$ scattering
• Hadronic light-by-light scattering contribution to the muon g-2 on the lattice
• 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
• Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light ${\pi }^0$-pole Contribution to the Muon $g-2$
• Muon g-2 Experiment at Fermilab
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Prospects for ${\gamma }^{\star }{\gamma }^{\star }\to \pi \pi$ via lattice QCD
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)
• On the precision of a data-driven estimate of the pseudoscalar-pole contribution to hadronic light-by-light scattering in the muon g-2
• Recent Developments of Muon g-2 from Lattice QCD
• Measurements of the Hadronic Cross Section and of Meson Transition Form Factors at BESIII for an improved Standard Model Prediction of (g-2)mu
• Pseudoscalar pole contribution to the hadronic light-by-light piece of $a_{\mu }$
• Lattice calculations and the muon anomalous magnetic moment