Light-by-light-type corrections to the muon anomalous magnetic moment at four-loop order

Abstract

The numerically dominant QED contributions to the anomalous magnetic moment of the muon stem from Feynman diagrams with internal electron loops. We consider such corrections and present a calculation of the four-loop light-by-light-type corrections where the external photon couples to a closed electron or muon loop. We perform an asymptotic expansion in the ratio of electron and muon mass and reduce the resulting integrals to master integrals which we evaluate using analytical and numerical methods. We confirm the results present in the literature which are based on different computational methods.

16 pages

References in corpus (15)

• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Remarks on higher-order hadronic corrections to the muon g-2
• FIRE5: a C++ implementation of Feynman Integral REduction
• Quark mass relations to four-loop order
• Expansion by regions: revealing potential and Glauber regions automatically
• Status of the Fermilab Muon (g-2) Experiment
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• Geometric approach to asymptotic expansion of Feynman integrals
• Revised value of the eighth-order QED contribution to the anomalous magnetic moment of the electron
• The Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment: Where do we stand?
• Precise mass-dependent QED contributions to leptonic g-2 at order alpha^2 and alpha^3
• Anomalous magnetic moment with heavy virtual leptons
• Muon Anomaly from Lepton Vacuum Polarization and The Mellin--Barnes Representation
• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
• The relation between the QED charge renormalized in MSbar and on-shell schemes at four loops, the QED on-shell beta-function at five loops and asymptotic contributions to the muon anomaly at five and six loops

Cited by in corpus (17)

• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Dispersion relation for hadronic light-by-light scattering: pion pole
• FIRE6: Feynman Integral REduction with Modular Arithmetic
• Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
• The muon $g$-2 and $\Delta \alpha$ connection
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Scalar Meson Contributions to a_μfrom Hadronic Light-by-Light Scattering
• GM2Calc: Precise MSSM prediction for $(g-2)$ of the muon
• Resolving electron and muon $g-2$ within the 2HDM
• Muon g-2 in the 2HDM: maximum results and detailed phenomenology
• Leading-order hadronic contribution to the electron and muon g-2
• Electron contribution to the muon anomalous magnetic moment at four loops
• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Higher order hadronic and leptonic contributions to the muon $g-2$
• Factorization of photon induced processes in ultra-peripheral heavy ion collisions
• Linearly Polarized Photon Fusion as a Precision Probe of the Tau Lepton Dipole Moments at Lepton Colliders