Lattice calculation of electromagnetic corrections to Kℓ3 decay
Lattice calculation of electromagnetic corrections to Kℓ3 decay
We describe a first-principles method to apply lattice QCD to compute the order αEM corrections to K→πℓνℓ 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.
hep-lat, hep-ph
Christ, Norman H.
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Feng, Xu
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Jin, Luchang
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Sachrajda, Christopher T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Wang, Tianle
3d5882c6-c612-4097-8e13-4dfba480c1e3
Christ, Norman H.
099687c4-25bf-41b9-9ccc-7d2c2f6487ba
Feng, Xu
abf7d3ed-935f-4fe2-92f2-401829a5f70c
Jin, Luchang
5b9ae9c0-569e-4167-856f-d82c0fa0363f
Sachrajda, Christopher T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Wang, Tianle
3d5882c6-c612-4097-8e13-4dfba480c1e3
[Unknown type: UNSPECIFIED]
Abstract
We describe a first-principles method to apply lattice QCD to compute the order αEM corrections to K→πℓνℓ 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.
Text
2402.08915v1
- Author's Original
More information
e-pub ahead of print date: 14 February 2024
Additional Information:
9 pages, 1 figure, presented at the 40th International Symposium on Lattice Field Theory, (LATTICE2023), July 31st - August 4th, 2023, Fermilab, Batavia, Illinois, USA
Keywords:
hep-lat, hep-ph
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Local EPrints ID: 496484
URI: http://eprints.soton.ac.uk/id/eprint/496484
PURE UUID: bba0288c-041a-4681-96e6-c7a73bcbe366
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Date deposited: 16 Dec 2024 17:54
Last modified: 16 Dec 2024 17:54
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Contributors
Author:
Norman H. Christ
Author:
Xu Feng
Author:
Luchang Jin
Author:
Tianle Wang
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