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Article
Report number	arXiv:2112.11823
Title	Near Physical Point Lattice Calculation of Isospin-Breaking Corrections to $K_{\ell2}/\pi_{\ell2}$
Author(s)	Yong, Andrew Zhen Ning (Edinburgh U.) ; 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.) ; Hermansson-Truedsson, Nils (U. Bern, AEC) ; Hodgson, Raoul (Edinburgh U.) ; Jüttner, Andreas (Southampton U. ; CERN) ; Portelli, Antonin (Edinburgh U.) ; Richings, James (Edinburgh U.)
Publication	2022-05-16
Imprint	2021-12-22
Number of pages	11
Note	11 pages, 4 figures; Updated Author(s) metadata
In:	PoS LATTICE2021 (2022) 110
In:	38th International Symposium on Lattice Field Theory, Online, 26 - 30 Jul 2021, pp.110
DOI	10.22323/1.396.0110
Subject category	hep-lat ; Particle Physics - Lattice
Abstract	In recent years, lattice determinations of non-perturbative quantities such as $f_K$ and $f_\pi$, which are relevant for $V_{us}$ and $V_{ud}$, have reached an impressive precision of $\mathcal{O}(1\%)$ or better. To make further progress, electromagnetic and strong isospin breaking effects must be included in lattice QCD simulations. We present the status of the RBC/UKQCD lattice calculation of isospin-breaking corrections to light meson leptonic decays. This computation is performed in a (2+1)-flavor QCD simulation using Domain Wall Fermions with near-physical quark masses. The isospin-breaking effects are implemented via a perturbative expansion of the action in $\alpha$ and $(m_u-m_d)$. In this calculation, we work in the electro-quenched approximation and the photons are implemented in the Feynman gauge and $\text{QED}_\text{L}$ formulation.
Copyright/License	preprint: (License: CC BY-NC-SA 4.0) publication: © 2022-2024 The author(s) (License: CC-BY-NC-ND-4.0)

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