CERN Accelerating science

Article
Report number	arXiv:2212.04709
Title	Isospin-breaking corrections to light leptonic decays in lattice QCD+QED at the physical point
Author(s)	Hermansson-Truedsson, Nils (U. Bern, AEC ; Lund U., Dept. Theor. Phys.) ; Boyle, Peter (Edinburgh U. ; Brookhaven) ; Di Carlo, Matteo (Edinburgh U.) ; Erben, Felix (Edinburgh U.) ; Gülpers, Vera (Edinburgh U.) ; Hansen, Maxwell T. (Edinburgh U.) ; Harris, Tim (Edinburgh U.) ; Hodgson, Raoul (Edinburgh U.) ; Jüttner, Andreas (CERN ; Southampton U.) ; hÓgáin, Fionn Ó. (Edinburgh U.) ; Portelli, Antonin (Edinburgh U.) ; Richings, James (Edinburgh U. ; Edinburgh U., EPCC) ; Yong, Andrew Zhen Ning (Edinburgh U.)
Publication	2022-12-22
Imprint	2022-12-09
Number of pages	10
Note	Proceedings for The 39th International Symposium on Lattice Field Theory, 8th-13th August, 2022, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, Germany
In:	PoS LATTICE2022 (2023) 411
In:	39th International Symposium on Lattice Field Theory (Lattice 2022), Bonn, Germany, 8 - 13 Aug 2022, pp.411
DOI	10.22323/1.430.0411
Subject category	hep-ph ; Particle Physics - Phenomenology ; hep-lat ; Particle Physics - Lattice
Abstract	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.
Copyright/License	publication: © 2022-2025 The author(s) (License: CC-BY-NC-ND-4.0) preprint: (License: CC-BY-NC-ND-4.0)

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