A ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon

Abstract

First-principles lattice determinations of the Standard Model expectation for the leading order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon have become sufficiently precise that further improvement requires including strong and electromagnetic isospin-breaking effects. We provide a continuum estimate of the strong isospin-breaking contribution, $a_{\mu }^{SIB}$, using $SU(3)$ chiral perturbation theory. The result is shown to be dominated by resonance-region contributions encoded in a single low-energy constant whose value is known from flavor-breaking hadronic $\tau$ decay sum rules. Implications of the form of the result for lattice determinations of $a_{\mu }^{SIB}$ are also discussed.

arXiv comment20 pages, three figures

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Cited by in corpus (6)

• Isospin-breaking effects in the two-pion contribution to hadronic vacuum polarization
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
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