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The lensing cross section of triaxial halos depends on the relativeorientation between a halo's principal axes and its line of sight.Consequently, a lensing subsample of randomly oriented halos is not, ingeneral,randomly oriented. Using an isothermal mass model for the lensinggalaxies and their host halos, we show that the lensing subsample of halos thatproduces doubles is preferentially aligned along the lines of sight, whereashalos that produce quads tend to be projected along their middle axes. Thesepreferred orientations result in different projected ellipticity distributionsfor quad, doubles, and random galaxies. We show that ~300 lens systems must bediscovered to detect this effect at the 95% confidence level. We alsoinvestigate the importance of halo shape for predicting the quad-to-doubleratio and find that the latter depends quite sensitively on the distribution ofthe short-to-long axis ratio, but is otherwise nearly independent of haloshape. Finally, we estimate the impact of the preferred orientation of lensinggalaxies on their projected substructure mass fraction, and find that theobserved alignment between the substructure distribution and the massdistribution of halos result in a negligible bias.

Biases in the Gravitational Lens Population Induced by Halo and Galaxy Triaxiality