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We derive, through analysis of the structure of diagrammatic perturbationtheory, the scaling behavior of the condensate and superfluid mass density of adilute Bose gas just below the condensation transition. Sufficiently below thecritical temperature, $T_c$, the system is governed by the mean field(Bogoliubov) description of the particle excitations. Close to $T_c$, however,mean field breaks down and the system undergoes a second order phasetransition, rather than the first order transition predicted in Bogoliubovtheory. Both condensation and superfluidity occur at the same criticaltemperature, $T_c$ and have similar scaling functions below $T_c$, butdifferent finite size scaling at $T_c$ to leading order in the system size.Through a simple self-consistent two loop calculation we derive the criticalexponent for the condensate fraction, $2\beta\simeq 0.66$.Comment: 4 page

Condensate Density and Superfluid Mass Density of a Dilute Bose-Einstein Condensate near the Condensation Transition