Radiative corrections to leptonic decays using infinite-volume reconstruction
Radiative corrections to leptonic decays using infinite-volume reconstruction
Lattice QCD calculations of leptonic decay constants have now reached sub-percent precision so that isospin-breaking corrections, including QED effects, must be included to fully exploit this precision in determining fundamental quantities, in particular the elements of the Cabibbo-Kobayashi-Maskawa (CKM) matrix, from experimental measurements. A number of collaborations have performed, or are performing, such computations. In this paper we develop a new theoretical framework, based on Infinite-Volume Reconstruction (IVR), for the computation of electromagnetic corrections to leptonic decay widths. In this method, the hadronic correlation functions are first processed theoretically in infinite volume, in such a way that the required matrix elements can be determined non-perturbatively from lattice QCD computations with finite-volume uncertainties which are exponentially small in the volume. The cancellation of infrared divergences in this framework is performed fully analytically. We also outline how this IVR treatment can be extended to determine the QED effects in semi-leptonic kaon decays with a similar degree of accuracy.
hep-lat
Christ, Norman H.
d745e59f-6c2d-4fa1-a3e9-80a5560af81e
Feng, Xu
df8ef790-39a5-4114-b797-c19af51e659d
Jin, Lu-Chang
f8d28c14-ded4-4baa-be63-aac1fc76a386
Sachrajda, Christopher T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Wang, Tianle
3d5882c6-c612-4097-8e13-4dfba480c1e3
Christ, Norman H.
d745e59f-6c2d-4fa1-a3e9-80a5560af81e
Feng, Xu
df8ef790-39a5-4114-b797-c19af51e659d
Jin, Lu-Chang
f8d28c14-ded4-4baa-be63-aac1fc76a386
Sachrajda, Christopher T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Wang, Tianle
3d5882c6-c612-4097-8e13-4dfba480c1e3
[Unknown type: UNSPECIFIED]
Abstract
Lattice QCD calculations of leptonic decay constants have now reached sub-percent precision so that isospin-breaking corrections, including QED effects, must be included to fully exploit this precision in determining fundamental quantities, in particular the elements of the Cabibbo-Kobayashi-Maskawa (CKM) matrix, from experimental measurements. A number of collaborations have performed, or are performing, such computations. In this paper we develop a new theoretical framework, based on Infinite-Volume Reconstruction (IVR), for the computation of electromagnetic corrections to leptonic decay widths. In this method, the hadronic correlation functions are first processed theoretically in infinite volume, in such a way that the required matrix elements can be determined non-perturbatively from lattice QCD computations with finite-volume uncertainties which are exponentially small in the volume. The cancellation of infrared divergences in this framework is performed fully analytically. We also outline how this IVR treatment can be extended to determine the QED effects in semi-leptonic kaon decays with a similar degree of accuracy.
Text
2304.08026v1
- Author's Original
More information
Submitted date: 17 April 2023
Keywords:
hep-lat
Identifiers
Local EPrints ID: 478141
URI: http://eprints.soton.ac.uk/id/eprint/478141
PURE UUID: 79961e7e-5197-448c-aaa2-6ac190c30851
Catalogue record
Date deposited: 22 Jun 2023 16:40
Last modified: 17 Mar 2024 01:58
Export record
Altmetrics
Contributors
Author:
Norman H. Christ
Author:
Xu Feng
Author:
Lu-Chang Jin
Author:
Tianle Wang
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics