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:
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
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.