We compute the self-energy of a static classical point-like charge, coupled with vector massless field and localized at the distance rr_g outside the horizon of higher-dimensional Schwarzschild-Tangherlini black hole. We use the perturbation theory and obtain first orders for the electrostatic energy and corresponding selfforce. Since the formal expression for self-energy diverges, for the computation we apply the dimensional-regularization technique, well-known in the quantum theory. In the lowest-dimensional cases the results are compared with the ones known in the literature.
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