We consider 5D, N=2 supersymmetric Yang-Mills (SYM) theory in 5D, N=1 harmonic superspace as a theory of the interacting adjoint 5D, N=1 gauge multiplet and hypermultiplet. Using the background superfield method, we compute the leading low-energy contribution to the one-loop effective action. The result of quantum calculations precisely matches the effective action derived earlier in {\tt arXiv:1812.07206} on the pure symmetry grounds.
@article{arxiv.1912.07787,
title = {Quantum calculation of the low-energy effective action in $5D$, ${\cal N}=2$ SYM theory},
author = {I. L. Buchbinder and E. A. Ivanov and B. S. Merzlikin},
journal= {arXiv preprint arXiv:1912.07787},
year = {2020}
}