Anatomy of finite-volume effect on hadronic vacuum polarization contribution to muon g-2
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909574608453632 |
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| author | Itatani, Sakura Fukaya, Hidenori Hashimoto, Shoji |
| author_facet | Itatani, Sakura Fukaya, Hidenori Hashimoto, Shoji |
| contents | Low-energy spectrum relevant to the lattice calculation of hadronic vacuum polarization contribution to muon anomalous magnetic moment a_μis dominantly given by two-pion states satisfying Lüscher's finite-volume quantization condition. Finite-volume effects from those states may exhibit power-law dependence on the volume, contrary to an exponential suppression as suggested by chiral effective theory. Employing the finite-volume state decomposition of Euclidean correlators, we systematically investigate the volume dependence and identify the different volume scalings depending on the region. Using phenomenological inputs for ππphase shift and time-like pion form factor, we obtain an estimate for the finite-volume effects on a_μ, which is consistent with previous works. Numerical results are given for the ``window'' observables of a_μ. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05413 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anatomy of finite-volume effect on hadronic vacuum polarization contribution to muon g-2 Itatani, Sakura Fukaya, Hidenori Hashimoto, Shoji High Energy Physics - Lattice High Energy Physics - Phenomenology Low-energy spectrum relevant to the lattice calculation of hadronic vacuum polarization contribution to muon anomalous magnetic moment a_μis dominantly given by two-pion states satisfying Lüscher's finite-volume quantization condition. Finite-volume effects from those states may exhibit power-law dependence on the volume, contrary to an exponential suppression as suggested by chiral effective theory. Employing the finite-volume state decomposition of Euclidean correlators, we systematically investigate the volume dependence and identify the different volume scalings depending on the region. Using phenomenological inputs for ππphase shift and time-like pion form factor, we obtain an estimate for the finite-volume effects on a_μ, which is consistent with previous works. Numerical results are given for the ``window'' observables of a_μ. |
| title | Anatomy of finite-volume effect on hadronic vacuum polarization contribution to muon g-2 |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.05413 |