On the two-loop divergences of the 2-point hypermultiplet supergraphs for 6D, N=(1,1) SYM theory

We consider 6D, N=(1,1) supersymmetric Yang-Mills theory formulated in N=(1,0) harmonic superspace and analyze the structure of the two-loop divergences in the hypermultiplet sector. Using the N=(1,0) superfield background field method we study the two-point supergraphs with the hypermultiplet legs and prove that their total contribution to the divergent part of effective action vanishes off shell.