Structure-dependent electromagnetic finite-volume effects to the hadronic vacuum polarisation
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911989721202688 |
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| author | Hermansson-Truedsson, Nils |
| author_facet | Hermansson-Truedsson, Nils |
| contents | In this talk we present some preliminary results and discuss the prospects of determining the leading structure-dependent finite-volume effects in the hadronic vacuum polarisation associated to order $e^2$ electromagnetic corrections. In the quantum electrodynamics prescription $\textrm{QED}_{\textrm{L}}$ these arise at order $1/L^3$ in the large-volume expansion, which is also the leading order because of the neutrality of the currents defining the underlying correlation function. Knowing the size of the finite-volume effects in question is relevant for determinations of the leading isospin-breaking corrections to the muon anomalous magnetic moment coming from the hadronic vacuum polarisation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_08042 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Structure-dependent electromagnetic finite-volume effects to the hadronic vacuum polarisation Hermansson-Truedsson, Nils High Energy Physics - Lattice In this talk we present some preliminary results and discuss the prospects of determining the leading structure-dependent finite-volume effects in the hadronic vacuum polarisation associated to order $e^2$ electromagnetic corrections. In the quantum electrodynamics prescription $\textrm{QED}_{\textrm{L}}$ these arise at order $1/L^3$ in the large-volume expansion, which is also the leading order because of the neutrality of the currents defining the underlying correlation function. Knowing the size of the finite-volume effects in question is relevant for determinations of the leading isospin-breaking corrections to the muon anomalous magnetic moment coming from the hadronic vacuum polarisation. |
| title | Structure-dependent electromagnetic finite-volume effects to the hadronic vacuum polarisation |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2408.08042 |