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Title: A Robust Mass Estimator for Dark Matter Subhalo Perturbations in Strong Gravitational Lenses

Abstract

A few dark matter substructures have recently been detected in strong gravitational lenses through their perturbations of highly magnified images. We derive a characteristic scale for lensing perturbations and show that they are significantly larger than the perturber’s Einstein radius. We show that the perturber’s projected mass enclosed within this radius, scaled by the log-slope of the host galaxy’s density profile, can be robustly inferred even if the inferred density profile and tidal radius of the perturber are biased. We demonstrate the validity of our analytic derivation using several gravitational lens simulations where the tidal radii and the inner log-slopes of the density profile of the perturbing subhalo are allowed to vary. By modeling these simulated data, we find that our mass estimator, which we call the effective subhalo lensing mass, is accurate to within about 10% or smaller in each case, whereas the inferred total subhalo mass can potentially be biased by nearly an order of magnitude. We therefore recommend that the effective subhalo lensing mass be reported in future lensing reconstructions, as this will allow for a more accurate comparison with the results of dark matter simulations.

Authors:
 [1];  [2];  [3]
  1. Department of Science, Borough of Manhattan Community College, City University of New York, New York, NY 10007 (United States)
  2. Department of Physics and Astronomy, University of California, Irvine CA 92697 (United States)
  3. Department of Astronomy and Astrophysics, The University of Chicago, 5640 South Ellis Avenue, Chicago, IL 60637 (United States)
Publication Date:
OSTI Identifier:
22663229
Resource Type:
Journal Article
Journal Name:
Astrophysical Journal
Additional Journal Information:
Journal Volume: 845; Journal Issue: 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0004-637X
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; DENSITY; DISTURBANCES; GALAXIES; GRAVITATIONAL LENSES; MASS; NONLUMINOUS MATTER; PERTURBATION THEORY; SIMULATION

Citation Formats

Minor, Quinn E., Kaplinghat, Manoj, and Li, Nan. A Robust Mass Estimator for Dark Matter Subhalo Perturbations in Strong Gravitational Lenses. United States: N. p., 2017. Web. doi:10.3847/1538-4357/AA7FEE.
Minor, Quinn E., Kaplinghat, Manoj, & Li, Nan. A Robust Mass Estimator for Dark Matter Subhalo Perturbations in Strong Gravitational Lenses. United States. doi:10.3847/1538-4357/AA7FEE.
Minor, Quinn E., Kaplinghat, Manoj, and Li, Nan. Sun . "A Robust Mass Estimator for Dark Matter Subhalo Perturbations in Strong Gravitational Lenses". United States. doi:10.3847/1538-4357/AA7FEE.
@article{osti_22663229,
title = {A Robust Mass Estimator for Dark Matter Subhalo Perturbations in Strong Gravitational Lenses},
author = {Minor, Quinn E. and Kaplinghat, Manoj and Li, Nan},
abstractNote = {A few dark matter substructures have recently been detected in strong gravitational lenses through their perturbations of highly magnified images. We derive a characteristic scale for lensing perturbations and show that they are significantly larger than the perturber’s Einstein radius. We show that the perturber’s projected mass enclosed within this radius, scaled by the log-slope of the host galaxy’s density profile, can be robustly inferred even if the inferred density profile and tidal radius of the perturber are biased. We demonstrate the validity of our analytic derivation using several gravitational lens simulations where the tidal radii and the inner log-slopes of the density profile of the perturbing subhalo are allowed to vary. By modeling these simulated data, we find that our mass estimator, which we call the effective subhalo lensing mass, is accurate to within about 10% or smaller in each case, whereas the inferred total subhalo mass can potentially be biased by nearly an order of magnitude. We therefore recommend that the effective subhalo lensing mass be reported in future lensing reconstructions, as this will allow for a more accurate comparison with the results of dark matter simulations.},
doi = {10.3847/1538-4357/AA7FEE},
journal = {Astrophysical Journal},
issn = {0004-637X},
number = 2,
volume = 845,
place = {United States},
year = {2017},
month = {8}
}