The luminosity correlation analysis for Fermi blazars

  • L. X. Zhang
  • J. H. FanEmail author
Original Article


In this paper, multiwavelength chromatic luminosity at radio (\(\log L _{\mathrm{R}}\)), optical (\(\log L_{\mathrm{O}}\)), X-ray (\(\log L _{\mathrm{X}}\)), and \(\gamma \)-rays (\(\log L_{\gamma }\)) for a sample of 442 Fermi blazars with known redshifts are collected from Fan et al. (2016), to study the correlations between the \(\gamma \)-rays and the low-energy bands using a multiple linear regression analysis. In this way, we can see which band is more important for the \(\gamma \)-ray emissions. Mutual correlation analysis is also used to discuss the correlations between the \(\gamma \)-ray and the low energy bands for the whole sample and subclasses. We come to following conclusions:
  1. 1.

    The multiple linear correlation indicates that the \(\gamma \)-rays are correlated with the radio, optical and the X-ray emissions for the whole sample and the subclasses of flat spectrum radio quasars (FSRQs) and BL Lac objects (BL Lacs), the correlation between the \(\gamma \)-rays and the radio emissions is the strongest one.

  2. 2.

    For BL Lacs, the optical emissions are more important than the X-rays for the \(\gamma \)-rays, while the X-ray emissions are more important than optical ones in FSRQs.

  3. 3.

    The \(\gamma \)-ray emissions in HBL are from an synchrotron self-Compton, while those in FSRQs may be from external Compton and synchrotron self-Compton as well.



BL Lacertae objects: general Galaxies: active Galaxies: jets Quasars: general 



We would like to thank the anonymous referee for the useful comments and constructive suggestions. The work is partially supported by the National Natural Science Foundation of China (11733001, U1531245, NSFC 10633010, NSFC 11173009), Natural Science Foundation of Guangdong Province (2017A030313011), Guangdong Innovation Team for Astrophysics (2014KCXTD014), and supports for Astrophysics Key Subjects of Guangdong Province and Guangzhou City.


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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Center for AstrophysicsGuangzhou UniversityGuangzhouChina
  2. 2.Astronomy Science and Technology Research Laboratory of Department of Education of Guangdong ProvinceGuangzhouChina

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