One-loop divergences of effective action in $6D,\mathcal{N}=(1,0)$ supersymmetric four-derivative gauge theory

We consider six-dimensional higher-derivative $\mathcal{N}=(1,0)$ supersymmetric gauge theory coupled with the hypermultiplet. We use the background superfield method in six-dimensional $\mathcal{N}=(1,0)$ harmonic superspace to study the effective action in the theory. Using the dimensional regularization scheme we analyze the one-loop divergent contributions to the effective action. We demonstrate that UV behaviour is determined by the higher-derivative term for gauge multiplet sector.