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We present a model-independent and relativistic approach to analyticallyderive electromagnetic finite-size effects beyond the point-like approximation.The key element is the use of electromagnetic Ward identities to constrainvertex functions, and structure-dependence appears via physical form-factorsand their derivatives. We apply our general method to study the leadingfinite-size structure-dependence in the pseudoscalar mass (at order $1/L^3$) aswell as in the leptonic decay amplitudes of pions and kaons (at order $1/L^2$).Knowledge of the latter is essential for Standard Model precision tests in theflavour physics sector from lattice simulations.

Structure-Dependent Electromagnetic Finite-Size Effects