Structure-dependent electromagnetic finite-volume effects through order $1/L^3$
| Title: | Structure-dependent electromagnetic finite-volume effects through order $1/L^3$ |
|---|---|
| Authors: | Di Carlo, Matteo, Hansen, Maxwell T., Hermansson-Truedsson, Nils, Portelli, Antonin |
| Publication Year: | 2023 |
| Collection: | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| Subject Terms: | High Energy Physics - Lattice, High Energy Physics - Phenomenology |
| More Details: | We consider electromagnetic finite-volume effects through order $1/L^3$ 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$_{\textrm{L}}$ 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$_{\textrm{C}}$, QED$_{\textrm{L}}$ and QED$_{\textrm{L}}^{\textrm{IR}}$, the latter being a class of non-local formulations generalising QED$_{\textrm{L}}$. One choice within this class is QED$_{\textrm{r}}$, first introduced at this conference, and we show that the effects of non-locality for the $1/L^3$ term in the expansion can be removed. We observe that there are still $1/L^3$ contributions unrelated to the (non-)locality of the studied QED formulations, but rather to collinear singularities in the physical amplitudes. Comment: Proceedings The 40th International Symposium on Lattice Field Theory (Lattice 2023), July 31st - August 4th, 2023, Fermi National Accelerator Laboratory. 7 pages |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2310.13358 |
| Accession Number: | edsarx.2310.13358 |
| Database: | arXiv |
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