Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combining Lens Distortion and Depletion to Map the Mass Distribution of
  A1689   [Abridged] We derive a projected 2D mass map of the well studied galaxy
cluster A1689 based on an entropy-regularized maximum-likelihood combination of
the lens magnification and distortion of red background galaxies registered in
deep Subaru images. The known strong lensing information is also readily
incorporated in this approach, represented as a central pixel with a mean
surface density close to the critical value. We also utilize the distortion
measurements to locally downweight the intrinsic clustering noise, which
otherwise perturbs the depletion signal. The projected mass profile
continuously steepens with radius and is well fitted by the NFW model, but with
a surprising large concentration c_vir=13.4^{+5.3}_{-3.3}, lying far from the
predicted value of c_vir ~ 5, corresponding to the measured virial mass,
M_vir=(2.1\pm 0.2)\times 10^15M_{\odot}, posing a challenge to the standard
assumptions defining the LCDM model. We examine the consistency of our results
with estimates derived with the standard weak lensing estimators and by
comparison with the inner mass profile obtained from strong lensing. All the
reconstructions tested here imply a virial mass in the range,
M_vir=(1.5-2.1)\times 10^15M_{\odot}, and the combined ACS and Subaru-2D mass
reconstruction yields a tight constraint on the concentration parameter,
c_vir=12.7 \pm 1(stat.) \pm 2.8(systematic) (c_200 ~ 10), improving upon the
statistical accuracy of our earlier 1D analysis. Importantly, our best fitting
profile properly reproduces the observed Einstein radius of 45 arcsec (z_s=1),
in contrast to other weak lensing work, reporting lower concentration profiles,
which underestimate the observed Einstein radius.

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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: eess