Quantifying Dark Matter Substructure via Gravitational Lensing

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Scientific paper

We construct a method for placing upper and lower bounds on the mass of substructure in a gravitationally lensed quasar system exhibiting anomalous image fluxes. The source of the flux anomaly is considered to be a mass clump within the shear and convergence field of a singular isothermal ellipsoid lens galaxy. The clump is modeled as a singular isothermal ellipsoid and the quasar source as an ellipse orientable with respect to the ellipticity orientation of the perturbing clump. We find the minimum substructure mass needed to adjust the flux anomaly and the maximum substructure mass which can adjust the flux anomaly without perturbing the image positions, fluxes, and time delay ratios of the entire lensing system. We apply the model to the system B1422+231 and find that the effects of an elliptical source and perturbing clump are to decrease the mass lower bound found previously for the circular case. This work is supported in part by the NSF REU and DOD ASSURE programs under NSF grant no. 0754568 and by the Smithsonian Institution.

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