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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/ L  3 ) as well 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 the flavour physics sector from lattice simulations.

Electromagnetic finite-size effects beyond the point-like approximation