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

Electromagnetic finite-volume effects to leptonic decays through order 1/L3 in QEDL

10 Aug 2022, 14:20

20m

CP1-HSZ/1.002 (CP1-HSZ) - HS6 (CP1-HSZ)

Oral Presentation Weak Decays and Matrix Elements 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${}_{\text{L}}$ 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${}_{\text{L}}$ plays an important role.

Presentation materials

NHTLattice22.pdf