2023/10/20 by Matteo Di Carlo, Maxwell T. Hansen, Di Carlo, Matteo +5 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2310.13358
openalex publication_date 2023/10/20 · openalex created_date 2023/10/24 · openalex updated_date 2026/08/01
We consider electromagnetic finite-volume effects through order 1/L3 in different formulations of QED, where L is the periodicity of the spatial volume. An inherent problem at this order is the appearance of structure-dependent quantities related to form factors and the analytical structure of the correlation functions. The non-local constraint of the widely used QED_\textrmL regularization gives rise to structure-dependent effects that are difficult to evaluate analytically and can act as a precision bottleneck in lattice calculations. For this reason, we consider general volume expansions relevant for the mass spectrum as well as leptonic decay rates in QED_\textrmC, QED_\textrmL and QED_\textrmL^\textrmIR, the latter being a class of non-local formulations generalising QED_\textrmL. One choice within this class is QED_\textrmr, first introduced at this conference, and we show that the effects of non-locality for the 1/L3 term in the expansion can be removed. We observe that there are still 1/L3 contributions unrelated to the (non-)locality of the studied QED formulations, but rather to collinear singularities in the physical amplitudes.