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SRGz: Building an Optical Cross-Match Model for the X-ray SRG/eROSITA Sources Using the Lockman Hole Data

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Abstract

We present a probabilistic model built for the optical cross-match between the SRG/eROSITA X-ray sources and photometric data from the DESI Legacy Imaging Surveys. The model relies both on positional and photometric information on optical objects nearby X-ray sources and allows performing selection with precision and recall \({\approx}94\%\) (for \(F_{\textrm{X,0.5-2}}>10^{-14}\) erg s\({}^{-1}\) cm\({}^{-2}\)). With this model, we calibrated positional error of the SRG/eROSITA sources detected in the Lockman Hole: \(\sigma_{\textrm{corr}}=0.87\sqrt{\sigma_{\textrm{det}}^{2.53}+1.12^{2}}\). The model will become a part of the SRGz system for data analysis of the X-ray data obtained from the all-sky SRG/eROSITA survey.

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Notes

  1. \(\mathcal{L}=-\ln(p)\), where \(p\) is a null hypothesis probability for a source to be produced by the noise component on an X-ray image.

  2. The search radius \(r_{\textrm{false}}\) was calculated as \(r_{\textrm{false}}=(-\ln[1-f_{\textrm{thresh}}]\pi^{-1}\rho_{\textrm{desi}}^{-1})^{1/2}=1.43^{\prime\prime}\), where \(\rho_{\text{desi}}\approx 4.7\times 10^{-3}\text{arcsec}^{-2}\) is an average sky density of the DESI LIS objects within LH, \(f_{\textrm{thresh}}=0.03\) is the probability to find one source or more by chance within \(r<r_{\textrm{false}}\) according to the Poisson distribution with \(\lambda=\rho_{\textrm{desi}}\).

  3. We used SciServer API for Python https://github.com/sciserver/SciScript-Python.

  4. We chose the following \(p_{\textrm{lim}}\) values: \(0.5\), \(0.55\), \(0.6\), \(0.65\), \(0.7\), \(0.75\), \(0.8\), \(0.85\), \(0.9\), \(0.95\), \(0.99\), \(0.995\).

  5. http://cda.cfa.harvard.edu/cscview/

  6. http://www.sciserver.org

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Authors and Affiliations

  1. Space Research Institute, Russian Academy of Sciences, 117997, Moscow, Russia

    M. I. Belvedersky, A. V. Meshcheryakov, P. S. Medvedev & M. R. Gilfanov

  2. National Research University ‘‘Higher School of Economics’’, Moscow, Russia

    M. I. Belvedersky

  3. Moscow State University, 119991, Moscow, Russia

    A. V. Meshcheryakov

  4. Max Planck Institut für Astrophysik, Karl-Schwarzschild-Str. 1, Postfach 1317, D-85741, Garching, Germany

    M. R. Gilfanov

Authors
  1. M. I. Belvedersky
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  2. A. V. Meshcheryakov
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  3. P. S. Medvedev
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  4. M. R. Gilfanov
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Correspondence to M. I. Belvedersky.

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Belvedersky, M.I., Meshcheryakov, A.V., Medvedev, P.S. et al. SRGz: Building an Optical Cross-Match Model for the X-ray SRG/eROSITA Sources Using the Lockman Hole Data. Astron. Lett. 48, 109–125 (2022). https://doi.org/10.1134/S1063773722020013

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