Isospin-violating vacuum polarization in the muon (g-2) with SU(3) flavour symmetry from lattice QCD

2025/05/30 by Erb, Dominik, Gérardin, Antoine, Meyer, Harvey B. +3 · 1 citation
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.2505.24344

Abstract

We compute the isospin-violating part a_μ^{HVP, 38} of the hadronic-vacuum-polarization (HVP) contribution to the muon (g-2) in lattice QCD at the SU(3)_{\rm f}-symmetric point where M_π=M_K≃ 416 MeV. All diagrams involving internal photons are evaluated in coordinate space, employing a Pauli-Villars-regulated photon propagator with a cutoff scale Λ well below the lattice cutoff. The counterterm (m_u-m_d), whose Λ dependence is consistent with the expected logarithmic behaviour, is calibrated using the experimental kaon mass splitting as input. The bare electromagnetic contribution at fixed Λ is compared to a phenomenological estimate based on the kaon-loop and pseudoscalar-pole contributions to the forward light-by-light amplitude. An extension of these calculations to physical pion and kaon masses appears promising.

Citations

• Geometric Muon g-2 in the Aether Physics Model (APM): Torsion Closure and a Casimir Sidereal-Drift Test
• Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g-2) from lattice QCD
• Hadronic light-by-light contribution to the muon g-2 using twisted-mass fermions
• The hadronic vacuum polarization contribution to the muon g-2 at long distances
• FLAG Review 2024
• Hadronic light-by-light contribution to the muon anomaly from lattice QCD with infinite volume QED at physical pion mass
• Calculating the QED correction to the hadronic vacuum polarisation on the lattice
• Isovector Axial Form Factor of the Nucleon from Lattice QCD
• Scale Setting for CLS 2+1 Simulations
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• The anomalous magnetic moment of the muon: a theoretical introduction
• Review of Particle Physics
• Model Selection and Akaike's Information Criterion (AIC): The General Theory and its Analytical Extensions

Cited by

• Comparing QCD+QED via full simulation versus the RM123 method: U-spin window contribution to a_μ^HVP

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• The isospin-violating part of the hadronic vacuum polarisation
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• Isospin-breaking corrections to the muon magnetic anomaly in Lattice QCD