Lattice calculation of electromagnetic corrections to $K\ell3$ decay
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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_ | 1866916124900196352 |
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| author | Christ, Norman H. Feng, Xu Jin, Luchang Sachrajda, Christopher T. Wang, Tianle |
| author_facet | Christ, Norman H. Feng, Xu Jin, Luchang Sachrajda, Christopher T. Wang, Tianle |
| contents | We describe a first-principles method to apply lattice QCD to compute the order $α_{\mathrm{EM}}$ corrections to $K\toπ\ellν_\ell$ decay. This method formulates the calculation in infinite volume with the conventional infinite-volume, continuum treatment of QED. Infinite volume reconstruction is used to replace the QCD components of the calculation with finite-volume amplitudes which can be computed in Euclidean space using lattice QCD, introducing finite-volume errors which vanish exponentially as the volume used in the QCD calculation is increased. This approach has also been described in an appendix to the recent paper: arXiv:2304.08026. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_08915 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattice calculation of electromagnetic corrections to $K\ell3$ decay Christ, Norman H. Feng, Xu Jin, Luchang Sachrajda, Christopher T. Wang, Tianle High Energy Physics - Lattice High Energy Physics - Phenomenology We describe a first-principles method to apply lattice QCD to compute the order $α_{\mathrm{EM}}$ corrections to $K\toπ\ellν_\ell$ decay. This method formulates the calculation in infinite volume with the conventional infinite-volume, continuum treatment of QED. Infinite volume reconstruction is used to replace the QCD components of the calculation with finite-volume amplitudes which can be computed in Euclidean space using lattice QCD, introducing finite-volume errors which vanish exponentially as the volume used in the QCD calculation is increased. This approach has also been described in an appendix to the recent paper: arXiv:2304.08026. |
| title | Lattice calculation of electromagnetic corrections to $K\ell3$ decay |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2402.08915 |