The Hard X-ray 20-40 keV AGN Luminosity Function

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The INTEGRAL mission has been operational in the hard X-ray band since October 2002. Up to now more than 70 AGN have been detected by the imager IBIS/ISGRI.
We have compiled a complete, significance limited sample based on 25,000 square degrees to a limiting flux of 3E-11 ergs/cm**2/sec ( 7,000 square degrees to a
flux limit of 1E-11 ergs/cm**2/sec) in the 20-40 keV band with INTEGRAL. We have constructed a detailed exposure map to compensate for effects of non-uniform exposure. The flux-number relation is best described by a power-law with a slope of 1.66 ± 0.11.
We present the first luminosity function of AGN in the 20-40 keV energy range, based on 38 extragalactic objects detected by the imager IBIS/ISGRI on-board INTEGRAL. The luminosity function shows a smoothly connected two power-law form, with an index of γ_1 = 0.9 below, and γ_2 = 2.2 above the turn-over luminosity of Lx = 4.6E43 ergs/sec. The emissivity of all INTEGRAL AGNs per unit volume is W(> 1E41 ergs/sec) = 2.8E38 ergs/sec/Mpc**3. These results are consistent with those derived in the 2 20 keV energy band and do not show a significant contribution by Compton-thick objects. Because the sample used in this study is truly local (z = 0.022), only limited conclusions can be drawn for the evolution of AGNs in this energy band. But the objects explaining the peak in the cosmic X-ray background are likely to be either low luminosity AGN (Lx < 1E41 ergs/sec) or of other type, such as intermediate mass black holes, clusters, and star forming regions.

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