Mixed OPEs in N = 2 $$ mathcal{N}=2 $$ superconformal theories

Using superspace techniques, we compute the mixed ope between an $$ mathcal{n}=2 $$ stress-tensor multiplet, a chiral multiplet and a flavor current multiplet. we perform a detailed analysis of the three-point function between two of the mentioned multiplets and a third arbitrary operator. we then solve all the constraints coming from the $$ mathcal{n}=2 $$ superconformal symmetry and from the equations of motion and/or conservation equations, and obtain all the possible operators that can appear in the expansion. this calculation is the first step towards a more general superconformal block analysis of mixed correlators in $$ mathcal{n}=2 $$ theories.