Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study

Abstract

We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a $64\times 24^3$ lattice with an inverse lattice spacing of $a^{-1}=1.78$ GeV and an isospin symmetric pion mass of $m_{\pi }=340$ MeV. We include QED in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. We find that the electromagnetic correction to the leading hadronic contribution to the anomalous magnetic moment of the muon is smaller than $1\%$ for the up quark and $0.1\%$ for the strange quark, although it should be noted that this is obtained using unphysical light quark masses. In addition to the results themselves, we compare the precision which can be reached for the same computational cost using each method. Such a comparison is also made for the meson electromagnetic mass-splittings.

49 pages, 20 figures

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• Quark disconnected diagrams in chiral perturbation theory
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• Connected, Disconnected and Strange Quark Contributions to HVP
• The leading disconnected contribution to the anomalous magnetic moment of the muon
• Electromagnetic Corrections to Meson Masses and the HVP

Cited by in corpus (16)

• The anomalous magnetic moment of the muon in the Standard Model
• Consistency of hadronic vacuum polarization between lattice QCD and the R-ratio
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• FLAG Review 2024
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• First-principles calculation of electroweak box diagrams from lattice QCD
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• Charged multi-hadron systems in lattice QCD+QED
• Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
• Forward light-by-light scattering and electromagnetic correction to hadronic vacuum polarization
• Lattice QCD Calculation of the Pion Mass Splitting
• Radiative corrections to leptonic decays using infinite-volume reconstruction
• Anomalous magnetic moment of the muon, a hybrid approach
• Lattice calculation of the pion mass difference $M_{{\pi }^{+}}-M_{{\pi }^0}$ at order $\mathcal{O}({\alpha }_{em})$
• QED interaction effects on heavy meson masses from lattice QCD+QED
• Isospin breaking corrections to the HVP at the physical point