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We compute general expressions for two types of three-point functions of(semi-)short multiplets in four-dimensional $\mathcal{N}=2$ superconformalfield theories. These (semi-)short multiplets are called "Schur multiplets" andplay an important role in the study of associated chiral algebras. The firsttype of the three-point functions we compute involves two half-BPS Schurmultiplets and an arbitrary Schur multiplet, while the second type involves onestress tensor multiplet and two arbitrary Schur multiplets. From thesethree-point functions, we read off the corresponding OPE selection rules forthe Schur multiplets. Our results particularly imply that there are non-trivialselection rules on the quantum numbers of Schur operators in these multiplets.We also give a conjecture on the selection rules for general Schur multiplets.

OPE Selection Rules for Schur Multiplets in 4D $\mathcal{N}=2$ Superconformal Field Theories