English

Structure-Dependent Electromagnetic Finite-Size Effects

High Energy Physics - Lattice 2021-11-04 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

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 finite-size structure-dependence in the pseudoscalar mass (at order 1/L31/L^3) as well as in the leptonic decay amplitudes of pions and kaons (at order 1/L21/L^2). Knowledge of the latter is essential for Standard Model precision tests in the flavour physics sector from lattice simulations.

Keywords

Cite

@article{arxiv.2110.15765,
  title  = {Structure-Dependent Electromagnetic Finite-Size Effects},
  author = {Matteo Di Carlo and Maxwell T. Hansen and Nils Hermansson-Truedsson and Antonin Portelli},
  journal= {arXiv preprint arXiv:2110.15765},
  year   = {2021}
}

Comments

Proceedings for talks presented at "The 38th International Symposium on Lattice Field Theory, LATTICE2021, July 26-30 2021", "A Virtual Tribute to Quark Confinement and the Hadron Spectrum 2021, August 2-6 2021" and "Particles and Nuclei International Conference 2021, PANIC2021, September 5-10 2021"

R2 v1 2026-06-24T07:17:45.056Z