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

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 Vus and Vud. 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 α and (mu−md)/ΛQCD. We use QEDL for the inclusion of electromagnetism, and discuss here the non-locality of this prescription which has significant impact on the infinite-volume extrapolation.

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