PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - Plenary session
Isospin-breaking corrections to weak decays: the current status and a new infrared improvement
M. Di Carlo
Full text: pdf
Pre-published on: January 23, 2024
Published on: November 06, 2024
Abstract
We provide an overview of the current state of lattice calculations concerning isospin-breaking corrections in weak decays, focusing in particular on leptonic decays of light pseudoscalar mesons. We examine the two currently existing calculations, placing a particular emphasis on the role of electromagnetic finite-volume corrections. Given the large systematic uncertainty associated with such corrections, we propose a novel method to improve the finite-volume scaling of leptonic decay rates and other hadronic observables, like hadron masses and the hadronic vacuum polarization contribution to the muon $g{-}2$. We introduce a new prescription for the QED action, referred to as QED$_\mathrm{r}$, which effectively removes finite-volume corrections at $\mathcal{O}(1/L^3)$ and consequently shifts the systematic uncertainty to a higher order. The specifics of this action, the practical implementation of the infrared improvement, and the ongoing numerical tests are also discussed.
DOI: https://doi.org/10.22323/1.453.0120
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