| Issue |
EPJ Web Conf.
Volume 258, 2022
A Virtual Tribute to Quark Confinement and the Hadron Spectrum (vConf21)
|
|
|---|---|---|
| Article Number | 06001 | |
| Number of page(s) | 6 | |
| Section | Parallel Presentations Track E | |
| DOI | https://doi.org/10.1051/epjconf/202225806001 | |
| Published online | 11 January 2022 | |
https://doi.org/10.1051/epjconf/202225806001
Electromagnetic finite-size effects beyond the point-like approximation
1 Higgs Centre for Theoretical Physics, School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, United Kingdom
2 Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
* e-mail: matteo.dicarlo@ed.ac.uk
** e-mail: maxwell.hansen@ed.ac.uk
*** Speaker, e-mail: nils@itp.unibe.ch
**** e-mail: antonin.portelli@ed.ac.uk
Published online: 11 January 2022
We present a model-independent and relativistic approach to analytically derive electromagnetic finite-size effects beyond the point-like approximation. The key element is the use of electromagnetic Ward identities to constrain vertex functions, and structure-dependence appears via physical form-factors and their derivatives. We apply our general method to study the leading finitesize structure-dependence in the pseudoscalar mass (at order 1/L3) as well as in the leptonic decay amplitudes of pions and kaons (at order 1/L2). Knowledge of the latter is essential for Standard Model precision tests in the flavour physics sector from lattice simulations.
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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