PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Weak Decays and Matrix Elements
Isospin-breaking corrections to light leptonic decays in lattice QCD+QED at the physical point
N. Hermansson-Truedsson*, P. Boyle, M. Di Carlo, F. Erben, V. Gülpers, M. Hansen, T. Harris, R. Hodgson, A. Jüttner, F. Ó hÓgáin, A. Portelli, J. Richings and A.Z.N. Yong
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Pre-published on: December 22, 2022
Published on: April 06, 2023
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.
DOI: https://doi.org/10.22323/1.430.0411
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