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We explore the use of optimized operators, designed to interpolate only asingle meson eigenstate, in three-point correlation functions with avector-current insertion. These operators are constructed as linearcombinations in a large basis of meson interpolating fields using a variationalanalysis of matrices of two-point correlation functions. After performing sucha determination at both zero and non-zero momentum, we compute three-pointfunctions and are able to study radiative transition matrix elements featuringexcited state mesons. The required two- and three-point correlation functionsare efficiently computed using the distillation framework in which there is afactorization between quark propagation and operator construction, allowing fora large number of meson operators of definite momentum to be considered. Weillustrate the method with a calculation using anisotopic lattices having threeflavors of dynamical quark all tuned to the physical strange quark mass,considering form-factors and transitions of pseudoscalar and vector mesonexcitations. The dependence on photon virtuality for a number of form-factorsand transitions is extracted and some discussion of excited-state phenomenologyis presented.

Excited meson radiative transitions from lattice QCD using variationally optimized operators