The H dibaryon is a color-singlet flavor-singlet spinless six-quark configuration. We discuss aspects of its Fock-space wave vector in the quark model and discuss construction of diquark state vectors as well. We then address the general issue of computing higher-order contributions to mass. A formalism is developed, and calculations are carried out in a truncated bag model. Mass contributions to both diquark systems and the H dibaryon are computed to O(αs2)