Isospin-breaking corrections to light leptonic decays in lattice QCD+QED at the physical point

We report on the physical-point RBC/UKQCD calculation of the leading isospin-breaking corrections to light-meson leptonic decays. This is highly relevant for future precision tests in the flavour physics sector, in particular the first-row unitarity of the Cabibbo-Kobayashi-Maskawa matrix containing...

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Bibliographic Details
Published inarXiv.org
Main Authors Boyle, Peter, Matteo Di Carlo, Erben, Felix, Gülpers, Vera, Hansen, Maxwell T, Harris, Tim, Hermansson-Truedsson, Nils, Hodgson, Raoul, Jüttner, Andreas, Fionn Ó hÓgáin, Portelli, Antonin, Richings, James, Yong, Andrew Z N
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.12.2022
Subjects
Domain walls
Electromagnetism
Fermions
Flavor (particle physics)
Leptons
Quantum chromodynamics
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Summary:We report on the physical-point RBC/UKQCD calculation of the leading isospin-breaking corrections to light-meson leptonic decays. This is highly relevant for future precision tests in the flavour physics sector, in particular the first-row unitarity of the Cabibbo-Kobayashi-Maskawa matrix containing the elements \(V_{us}\) and \(V_{ud}\). The simulations were performed using Domain-Wall fermions for \(2+1\) flavours, and with isospin-breaking effects included perturbatively in the path integral through order \(\alpha\) and \((m_u - m_d)/\Lambda _{\mathrm{QCD}}\). We use QED\(_{\mathrm{L}}\) for the inclusion of electromagnetism, and discuss here the non-locality of this prescription which has significant impact on the infinite-volume extrapolation.
ISSN:2331-8422