# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## Electromagnetic finite-volume effects to leptonic decays through order $1/L^3$ in QED$_{\textrm{L}}$

Aug 10, 2022, 2:20 PM
20m
CP1-HSZ/1st-1.002 - HS6 (CP1-HSZ)

### CP1-HSZ/1st-1.002 - HS6

#### CP1-HSZ

50
Oral Presentation Weak Decays and Matrix Elements

### Speaker

Dr Nils Hermansson-Truedsson (Lund University/The University of Edinburgh)

### Description

Analytical techniques to derive the finite-volume dependence of observables calculated in lattice simulations can be used to improve numerical determinations. With the need for (sub-)percent precision in lattice predictions, also isospin-breaking effects have to be considered. When including electromagnetism in the so-called QED$_{\textrm{L}}$ prescription, having good control of the associated finite-volume effects is particularly important, as the scaling with the spatial extent L typically is inverse polynomial. In this talk, we will discuss the finite-size effects in the RBC/UKQCD calculation of radiative corrections to leptonic decays. Particular emphasis will be put on the order $1/L^3$ contribution, where the non-locality of QED$_{\textrm{L}}$ plays an important role.

### Primary author

Dr Nils Hermansson-Truedsson (Lund University/The University of Edinburgh)