N=1 superconformal blocks for general scalar operators

We use supershadow methods to derive new expressions for superconformal blocks in 4d N = 1 superconformal field theories. We analyze the four-point function (A(1) A(2)(dagger)B(1)(dagger)B(2)(dagger)), where A(i) and B-i are scalar superconformal primary operators with arbitrary dimension and B-charge and the exchanged operator is neutral under B-symmetry. Previously studied superconformal blocks for chiral operators and conserved currents are special cases of our general results.