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We report on the physical-point RBC/UKQCD calculation of the leadingisospin-breaking corrections to light-meson leptonic decays. This is highlyrelevant for future precision tests in the flavour physics sector, inparticular the first-row unitarity of the Cabibbo-Kobayashi-Maskawa matrixcontaining the elements $V_{us}$ and $V_{ud}$. The simulations were performedusing Domain-Wall fermions for $2+1$ flavours, and with isospin-breakingeffects included perturbatively in the path integral through order $\alpha$ and$(m_u - m_d)/\Lambda _{\mathrm{QCD}}$. We use QED$_{\mathrm{L}}$ for theinclusion of electromagnetism, and discuss here the non-locality of thisprescription which has significant impact on the infinite-volume extrapolation.

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