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Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses

Boyle, Peter ; Di Carlo, Matteo ; Erben, Felix ; Gülpers, Vera ; Hansen, Maxwell T. ; Harris, Tim ; Hermansson-Truedsson, Nils LU orcid ; Hodgson, Raoul ; Jüttner, Andreas and hÓgáin, Fionn , et al. (2023) In Journal of High Energy Physics 2023(2).
Abstract

The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than O(1%), require theoretical calculations to include subleading corrections that were neglected so far. Precise determinations of leptonic and semi-leptonic decay rates, including QED and strong isospin-breaking effects, can play a central role in solving the current tensions in the first-row unitarity of the CKM matrix. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing... (More)

The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than O(1%), require theoretical calculations to include subleading corrections that were neglected so far. Precise determinations of leptonic and semi-leptonic decay rates, including QED and strong isospin-breaking effects, can play a central role in solving the current tensions in the first-row unitarity of the CKM matrix. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a 483× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the QEDL prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on |Vus|/|Vud| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements.

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publishing date
type
Contribution to journal
publication status
published
subject
keywords
CKM Parameters, Hadronic Matrix Elements and Weak Decays, Lattice QCD, Standard Model Parameters
in
Journal of High Energy Physics
volume
2023
issue
2
article number
242
publisher
Springer
external identifiers
  • scopus:85149208312
ISSN
1029-8479
DOI
10.1007/JHEP02(2023)242
language
English
LU publication?
yes
id
5360efd4-fee1-46a5-986b-689a8f6ec5d4
date added to LUP
2023-03-14 11:00:13
date last changed
2024-04-15 13:12:37
@article{5360efd4-fee1-46a5-986b-689a8f6ec5d4,
  abstract     = {{<p>The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than O(1%), require theoretical calculations to include subleading corrections that were neglected so far. Precise determinations of leptonic and semi-leptonic decay rates, including QED and strong isospin-breaking effects, can play a central role in solving the current tensions in the first-row unitarity of the CKM matrix. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a<sup>−1</sup> ≃ 1.730 GeV) on a 48<sup>3</sup>× 96 volume with N<sub>f</sub> = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the QED<sub>L</sub> prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on |V<sub>us</sub>|/|V<sub>ud</sub>| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements.</p>}},
  author       = {{Boyle, Peter and Di Carlo, Matteo and Erben, Felix and Gülpers, Vera and Hansen, Maxwell T. and Harris, Tim and Hermansson-Truedsson, Nils and Hodgson, Raoul and Jüttner, Andreas and hÓgáin, Fionn and Portelli, Antonin and Richings, James and Yong, Andrew Zhen Ning}},
  issn         = {{1029-8479}},
  keywords     = {{CKM Parameters; Hadronic Matrix Elements and Weak Decays; Lattice QCD; Standard Model Parameters}},
  language     = {{eng}},
  number       = {{2}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses}},
  url          = {{http://dx.doi.org/10.1007/JHEP02(2023)242}},
  doi          = {{10.1007/JHEP02(2023)242}},
  volume       = {{2023}},
  year         = {{2023}},
}