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A group of trans-Neptunian objects (TNO) are dynamically related to the dwarfplanet 136108 Haumea. Ten of them show strong indications of water ice on theirsurfaces, are assumed to have resulted from a collision, and are accepted asthe only known TNO collisional family. Nineteen other dynamically similarobjects lack water ice absorptions and are hypothesized to be dynamicalinterlopers. We have made observations to determine sizes and geometric albedosof six of the accepted Haumea family members and one dynamical interloper. Tenother dynamical interlopers have been measured by previous works. We comparethe individual and statistical properties of the family members andinterlopers, examining the size and albedo distributions of both groups. Wealso examine implications for the total mass of the family and their ejectionvelocities. We use far-infrared space-based telescopes to observe the targetTNOs near their thermal peak and combine these data with optical magnitudes toderive sizes and albedos using radiometric techniques. We determine thepower-law slope of ejection velocity as a function of effective diameter. Thedetected Haumea family members have a diversity of geometric albedos $\sim$0.3-0.8, which are higher than geometric albedos of dynamically similar objectswithout water ice. The median geometric albedo for accepted family members is$p_V=0.48_{-0.18}^{+0.28}$, compared to 0.08$_{-0.05}^{+0.07}$ for thedynamical interlopers. In the size range $D=175-300$ km, the slope of thecumulative size distribution is $q$=3.2$_{-0.4}^{+0.7}$ for accepted familymembers, steeper than the $q$=2.0$\pm$0.6 slope for the dynamical interloperswith D$< $500 km. The total mass of Haumea's moons and family members is 2.4%of Haumea's mass. The ejection velocities required to emplace them on theircurrent orbits show a dependence on diameter, with a power-law slope of0.21-0.50.

"TNOs are Cool": A survey of the trans-Neptunian region XIV. Size/albedo characterization of the Haumea family observed with Herschel and Spitzer