Isospin-violating vacuum polarization in the muon $(g-2)$ with SU(3) flavour symmetry from lattice QCD
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909759265832960 |
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| author | Erb, Dominik Gérardin, Antoine Meyer, Harvey B. Parrino, Julian Biloshytskyi, Volodymyr Pascalutsa, Vladimir |
| author_facet | Erb, Dominik Gérardin, Antoine Meyer, Harvey B. Parrino, Julian Biloshytskyi, Volodymyr Pascalutsa, Vladimir |
| contents | We compute the isospin-violating part $a_μ^{\text{HVP}, 38}$ of the hadronic-vacuum-polarization (HVP) contribution to the muon $(g-2)$ in lattice QCD at the SU$(3)_{\rm f}$-symmetric point where $M_π=M_K\simeq 416$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24344 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isospin-violating vacuum polarization in the muon $(g-2)$ with SU(3) flavour symmetry from lattice QCD Erb, Dominik Gérardin, Antoine Meyer, Harvey B. Parrino, Julian Biloshytskyi, Volodymyr Pascalutsa, Vladimir High Energy Physics - Lattice We compute the isospin-violating part $a_μ^{\text{HVP}, 38}$ of the hadronic-vacuum-polarization (HVP) contribution to the muon $(g-2)$ in lattice QCD at the SU$(3)_{\rm f}$-symmetric point where $M_π=M_K\simeq 416$ 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. |
| title | Isospin-violating vacuum polarization in the muon $(g-2)$ with SU(3) flavour symmetry from lattice QCD |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2505.24344 |