Field-theoretic versus data-driven evaluations of electromagnetic corrections to hadronic vacuum polarization in $(g-2)_μ$
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
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2025
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| _version_ | 1866915982528741376 |
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| author | Biloshytskyi, Volodymyr Erb, Dominik Meyer, Harvey B. Parrino, Julian Pascalutsa, Vladimir |
| author_facet | Biloshytskyi, Volodymyr Erb, Dominik Meyer, Harvey B. Parrino, Julian Pascalutsa, Vladimir |
| contents | The Standard Model prediction of the muon $g-2$ increasingly depends on lattice QCD computations of the hadronic vacuum polarization (HVP), where the isospin-breaking (IB) effects remain a significant source of uncertainty. To complement the lattice QCD evaluations, the data-driven approach to HVP has been used to assess some of the electromagnetic IB effects, in particular from the channels with a photon in the final state, e.g., $e^+e^-\toπ^0 γ$. Here we argue that such contributions are largely canceled by virtual electromagnetic corrections to the purely hadronic channels: $π^+ π^-$, $π^+ π^- π^0$, etc. We identify these leading corrections by performing a field-theoretical calculation in a vector-meson dominance model, thereby reconciling the timelike and spacelike approaches to electromagnetic effects. Although these virtual corrections are more difficult to extract in a systematic manner, addressing them is essential for the data-driven method to consistently complement the lattice QCD program. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08115 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Field-theoretic versus data-driven evaluations of electromagnetic corrections to hadronic vacuum polarization in $(g-2)_μ$ Biloshytskyi, Volodymyr Erb, Dominik Meyer, Harvey B. Parrino, Julian Pascalutsa, Vladimir High Energy Physics - Phenomenology High Energy Physics - Lattice The Standard Model prediction of the muon $g-2$ increasingly depends on lattice QCD computations of the hadronic vacuum polarization (HVP), where the isospin-breaking (IB) effects remain a significant source of uncertainty. To complement the lattice QCD evaluations, the data-driven approach to HVP has been used to assess some of the electromagnetic IB effects, in particular from the channels with a photon in the final state, e.g., $e^+e^-\toπ^0 γ$. Here we argue that such contributions are largely canceled by virtual electromagnetic corrections to the purely hadronic channels: $π^+ π^-$, $π^+ π^- π^0$, etc. We identify these leading corrections by performing a field-theoretical calculation in a vector-meson dominance model, thereby reconciling the timelike and spacelike approaches to electromagnetic effects. Although these virtual corrections are more difficult to extract in a systematic manner, addressing them is essential for the data-driven method to consistently complement the lattice QCD program. |
| title | Field-theoretic versus data-driven evaluations of electromagnetic corrections to hadronic vacuum polarization in $(g-2)_μ$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2509.08115 |